Prime Numbers Quiz: Prime Numbers Practice From Basics to Divisibility Rules

  • 4th Grade
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Quizzes Created: 8156 | Total Attempts: 9,588,805
| Attempts: 27 | Questions: 20 | Updated: Dec 17, 2025
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Question 1 / 20
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1) Select all numbers that have exactly two factors.

Explanation

Prime numbers have only two factors (1 and itself). 5, 7, and 11 fit this rule.

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About This Quiz
Prime Numbers Quiz: Prime Numbers Practice From Basics To Divisibility Rules - Quiz

What makes a number prime, and why are primes so important in mathematics? In this quiz, you’ll explore how to identify primes, recognize composites, and apply divisibility rules to test numbers efficiently. You’ll practice working with prime factors, analyze borderline cases, and see how primes form the building blocks of... see morenumber theory. Step by step, you’ll strengthen your ability to classify numbers confidently and understand why primes play such a central role in arithmetic.
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2) 49 is a prime number.

Explanation

49 = 7×7, so it has more than two factors and is composite.

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3) If a number ends in 0 or 5, it is divisible by 5.

Explanation

Any number ending in 0 or 5 is divisible by 5.

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4) Select all numbers divisible by 3 using the digit-sum rule.

Explanation

27: 2+7=9 (÷3); 42: 4+2=6 (÷3); 75: 7+5=12 (÷3). Others are not divisible by 3.

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5) For 85, the last-digit rule shows it is divisible by ____.

Explanation

Numbers ending with 5 or 0 are divisible by 5. 85 ends in 5, so it is divisible by 5.

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6) Which of these is a prime number?

Explanation

Prime numbers have only two factors: 1 and itself. 9 = 3×3, 15 = 3×5, and 21 = 3×7 are composite. 11 is prime.

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7) 2 is the only even prime number.

Explanation

2 has only two factors (1 and 2), making it prime. All other even numbers are divisible by 2 and thus composite.

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8) Which number below is composite?

Explanation

21 = 3×7, so it has more than two factors and is composite. 17, 19, and 23 are prime.

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9) Select all prime numbers from the list.

Explanation

13, 17, and 19 are prime. 14 = 2×7 and 18 = 2×9 are composite.

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10) What is the prime factorization of 36?

Explanation

36 = 2×18 = 2×2×9 = 2×2×3×3. Each factor is prime.

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11) The next prime number after 43 is ____.

Explanation

44, 45, and 46 are divisible by 2, 3, or 23. 47 is the next prime after 43.

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12) Which pair includes two prime numbers?

Explanation

17 and 19 are consecutive primes. The others are composite pairs.

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13) Compute the digit sum of 57 for the divisibility-by-3 test: ____

Explanation

5+7 = 12, which is a multiple of 3. Therefore, 57 is divisible by 3.

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14) All even numbers greater than 2 are composite.

Explanation

All even numbers beyond 2 have 2 as a factor, making them composite.

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15) The smallest prime number is ____.

Explanation

2 is the smallest prime number because it is divisible only by 1 and 2.

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16) Every number greater than 1 is either prime or composite.

Explanation

All natural numbers >1 fall into these two categories. 1 is the only number that is neither.

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17) Which number is immediately eliminated as prime by the divisibility-by-2 test?

Explanation

Even numbers greater than 2 are composite. 46 is even, so it fails the prime test immediately.

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18) A number that has more than two factors is called a ____ number.

Explanation

Composite numbers have more than two factors. Example: 12 has 1, 2, 3, 4, 6, and 12.

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19) Which of the following is a prime factor of 84?

Explanation

84 = 2×2×3×7, so 3 and 7 are prime factors. 4, 6, and 21 are composite.

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20) Which number passes the 2, 3, and 5 divisibility tests (prime candidate)?

Explanation

49 is not divisible by 2 (odd), 3 (4+9=13 not multiple of 3), or 5 (does not end with 0/5). It remains a candidate.

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Select all numbers that have exactly two factors.
49 is a prime number.
If a number ends in 0 or 5, it is divisible by 5.
Select all numbers divisible by 3 using the digit-sum rule.
For 85, the last-digit rule shows it is divisible by ____.
Which of these is a prime number?
2 is the only even prime number.
Which number below is composite?
Select all prime numbers from the list.
What is the prime factorization of 36?
The next prime number after 43 is ____.
Which pair includes two prime numbers?
Compute the digit sum of 57 for the divisibility-by-3 test: ____
All even numbers greater than 2 are composite.
The smallest prime number is ____.
Every number greater than 1 is either prime or composite.
Which number is immediately eliminated as prime by the...
A number that has more than two factors is called a ____ number.
Which of the following is a prime factor of 84?
Which number passes the 2, 3, and 5 divisibility tests (prime...
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