Magic Numbers: Factors, Primes And Composites Quiz

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Set out on a mathematical adventure with the "Magic Numbers: Factors, Primes, and Composites Quiz." This engaging quiz is designed to unravel the mysteries behind numbers, exploring their fundamental properties and relationships. Delve into the enchanting world of factors, primes, and composites as you navigate through thought-provoking questions that challenge your understanding of these magical mathematical concepts.

Test your knowledge on prime numbers, discover the secrets of factoring, and distinguish between the mystical primes and composite numbers. Whether you're a math enthusiast or someone looking to enhance your numeracy skills, this quiz offers an entertaining and educational experience. Unlock the Read moresecrets of numbers, unravel their unique characteristics, and see if you can decipher the magic within mathematical patterns. Get ready for an exciting journey into the realm of Magic Numbers! Good luck!

• 1.

The world multiple refers to:

• A.

A number that can be divided by another number with 2 factors.

• B.

A number that can be divided by another number without a remainder.

• C.

A number that can be divided by 2 and another number without a remainder.

• D.

A number that can be divided by another number leaving an even number as your answer.

B. A number that can be divided by another number without a remainder.
Explanation
The correct answer is "a number that can be divided by another number without a remainder." This is because when we say a number is "multiple" of another number, it means that the first number is divisible by the second number without leaving any remainder. In other words, the first number can be expressed as the product of the second number and some integer.

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• 2.

Method 1: For creating multiples requires that you

• A.

Add the multiple to three factors

• B.

Take the multiple and cut it in half

• C.

Add the multiple to another factor (i.e. multiple plus 1, multiple plus 2 etc. )

• D.

Multiply the multiple by another factor (i.e. multiple times 1, multiple times 2 etc. )

D. Multiply the multiple by another factor (i.e. multiple times 1, multiple times 2 etc. )
Explanation
To create multiples of a number, you multiply the multiple by another factor (i.e., you perform multiplication using the original number and a different factor). For example, if you want to create multiples of 5, you can multiply 5 by 2, 3, 4, etc., to generate the multiples 10, 15, 20, and so on.

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• 3.

Method 2 for creating multiples requires that you

• A.

• B.

Divide each product by a factor

• C.

• D.

Multiply each product by 3

Explanation
In Method 2 for creating multiples, the correct approach is to add the multiple to the previous answer or product. This means that each time a multiple is generated, it should be added to the previous answer or product to obtain the next multiple. This method ensures that the multiples are incrementally generated by continuously adding the same value to the previous result.

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• 4.

What is a factor?

• A.

A number that is always a prime number.

• B.

Two numbers that add to give you a sum.

• C.

One or two whole numbers that multiply to give you a product.

• D.

Two numbers that subtract to give you a difference.

C. One or two whole numbers that multiply to give you a product.
Explanation
A factor is defined as one or two whole numbers that multiply together to give a product. It is not necessarily a prime number, nor is it related to addition or subtraction. Factors are used to divide a number evenly and are an important concept in mathematics.

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• 5.

Prime numbers have, _______ factor(s)

• A.

Exactly 1

• B.

Exactly 2

• C.

Exactly 3

• D.

Exactly more than 3

B. Exactly 2
Explanation
Prime numbers have exactly 2 factors. This is because a prime number is only divisible by 1 and itself. Therefore, there are no other numbers that can evenly divide a prime number, resulting in exactly 2 factors.

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• 6.

• 7.

• 8.

What if the definition of a composite number?

• A.

A number with one and itself as a factor.

• B.

A number with 2 or more factors.

• C.

A number the shows the multiple of 2.

• D.

A number with 3 or more factors

B. A number with 2 or more factors.
Explanation
A composite number is a number that has more than two factors. This means that it can be divided evenly by at least two different numbers, in addition to one and itself. For example, the number 12 is a composite number because it can be divided evenly by 1, 2, 3, 4, 6, and 12. In contrast, a prime number only has two factors, 1 and itself. Therefore, the correct answer is "A number with 2 or more factors."

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• 9.

• 10.

What are the factors of 120?*****WORK THE ANSWER OUT ON SCRAP AND PLACE IN NUMERICAL ORDER*************ONLY PUT COMMAS BETWEEN THE NUMBER NOT SPACES****

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Explanation
The factors of 120 are all the numbers that can divide evenly into 120 without leaving a remainder. In this case, the factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. The factors are listed in numerical order, separated by commas.

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• 11.

When writing the proper factor or a number you DO NOT include:

• A.

The number 1

• B.

The number it self.

• C.

The number 0.

• D.

Any number that repeats.

B. The number it self.
Explanation
When writing the proper factor or a number, you do not include the number itself because a proper factor is a factor of a number that is less than the number itself. For example, the proper factors of 6 are 1, 2, and 3, but 6 is not considered a proper factor because it is the number itself.

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• 12.

What are all the Prime Number Up to 20? *PLACE IN ORDER FROM LEAST TO GREATEST* *Only put commas in between number do not leave spaces* _____________________________

2,3,5,7,11,13,17,19
• 13.

Complete this Multiples List : ____, 144, ____, 288YOU MUST YOUR A COMMA TO SEPARATE THE TWO ANSWERS

72,216
72, 216
72 216
72,216
Explanation
The correct answer is 72, 216. The question asks for a list of multiples, and the given answer provides two numbers that are multiples of the missing numbers in the list. The numbers 72 and 216 are both multiples of 72, and 216 is also a multiple of 144. Therefore, the answer correctly completes the multiples list.

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• 14.

What is the proper factor of 72?*PLACE IN ORDER FROM LEAST TO GREATEST**Only put commas in between number do not leave spaces

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
1,2,3,4,6,8,9,12,18,24,36
1,2,3,4,6,8,9,12,18,24,36
1,2,3,4,6,8,9,12,18,24,36,
1,2,3,4,6,8,9,12,18,24,36.
Explanation
The given answer lists the proper factors of 72 in ascending order from least to greatest, separated by commas. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.

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• 15.

TRUE OR FALSE72 has 12 factors and 11 proper factors?

• A.

True

• B.

False

A. True
Explanation
The number 72 has 12 factors because it can be divided evenly by 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. It also has 11 proper factors because it excludes the number itself, so the proper factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, and 36. Therefore, the statement is true.

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• 16.

Prime numbers are:

• A.

Numbers that must have 2 as it's factor.

• B.

Numbers that only have 1 and itself as factors.

• C.

Numbers divisible by 3.

• D.

Numbers with 4 factors.

B. Numbers that only have 1 and itself as factors.
Explanation
Prime numbers are numbers that can only be divided by 1 and themselves without leaving a remainder. This means that prime numbers do not have any other factors except for 1 and the number itself. For example, 2, 3, 5, 7, 11, and 13 are all prime numbers because they cannot be divided evenly by any other numbers except for 1 and the number itself.

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• 17.

What are all the factors of 36?

• A.

2,3,18,36

• B.

1,2,3,4,6,9,12,18,36

• C.

6 x 6

• D.

1,2,3,4,6,9,12,18

B. 1,2,3,4,6,9,12,18,36
Explanation
The factors of a number are the numbers that can divide it evenly without leaving a remainder. In this case, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. These numbers can all divide 36 without leaving a remainder.

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• 18.

The Factors of 32 are:*PLACE IN ORDER FROM LEAST TO GREATEST**Only put commas in between number do not leave spaces*

1, 2, 4, 8, 16, and 32
1, 2, 4, 8, 16, 32
1,2,4,8,16,32
1,2,4,8,16,32
Explanation
The correct answer is 1, 2, 4, 8, 16, and 32. The factors of a number are the numbers that can divide evenly into that number without leaving a remainder. In this case, the factors of 32 are 1, 2, 4, 8, 16, and 32 because these numbers can all divide evenly into 32.

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• 19.

What are the proper factors of 24?

• A.

4,6

• B.

1,2,3,4,6,8,12,

• C.

8,3

• D.

1,2,3,4,6,8,12, 24

B. 1,2,3,4,6,8,12,
Explanation
The proper factors of a number are all the factors of that number except for the number itself. In this case, the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. However, since we are looking for proper factors, we exclude 24 from the list. Therefore, the proper factors of 24 are 1, 2, 3, 4, 6, 8, and 12.

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• 20.

The First 5 multiples of the NUMBER 64 are:64,____, ______, _____, _____,  _____,  DO NOT INCLUDE THE NUMBER 64

128,192,254,316,358
128,192,254,316,358
128, 192, 254, 316, 358
Explanation
The given answer is incorrect because it repeats the sequence of numbers twice. The correct answer should be 128, 192, 256, 320, 384.

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• 21.

Which of the following numbers is a composite number?

• A.

7

• B.

13

• C.

21

• D.

29

C. 21

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• Dec 14, 2023
Quiz Edited by
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• Sep 18, 2014
Quiz Created by
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