Take The Prime Factorization Math Test!

The given equation states that 9 raised to the power of 4 is equal to multiplying 9 by itself four times. This is true because when we raise a number to a power, we are essentially multiplying that number by itself the number of times indicated by the power. In this case, 9 raised to the power of 4 means multiplying 9 by itself four times, resulting in 9 x 9 x 9 x 9, which is equal to 6561. Therefore, the statement is true.

Making a factor tree is indeed a way to demonstrate the prime factorization of a number. In a factor tree, the given number is broken down into its prime factors by repeatedly dividing it by prime numbers until only prime factors remain. This method helps in understanding the prime factors of a number and can be used to find the greatest common divisor or least common multiple of multiple numbers. Therefore, the statement "Making a factor tree is a way to demonstrate the prime factorization of a number" is true.

The given statement "75 = 7 x 5" is false. In reality, 75 is not equal to the product of 7 and 5. The correct multiplication of 7 and 5 is 35, not 75. Therefore, the answer is false.

A composite number is a positive integer greater than 1 that has more than two factors. In the case of 16, it can be divided evenly by numbers other than 1 and itself, such as 2, 4, and 8. Since 16 has factors other than 1 and itself, it is considered a composite number.

The prime factorization of 120 is 2 x 2 x 2 x 3 x 5. This means that 120 can be expressed as the product of these prime numbers: 2, 2, 2, 3, and 5.

In the expression 2^3 *3 means 2 raised to the power of 3, which is 8. Multiplying 8 by 3 gives the result 24. Therefore, the expression simplifies to 24, indicating that 2 cubed, multiplied by 3, equals 24.

The prime factorization of a number involves breaking down the number into its prime factors. In this case, the prime factorization of 93 is 3 x 31. This means that 93 can be expressed as the product of the prime numbers 3 and 31.

The prime factorization of a number involves breaking it down into its prime factors. In this case, the number 45 can be broken down into the prime factors 3, 3, and 5. This means that when you multiply these prime factors together (3 x 3 x 5), you get the original number 45.

The prime factorization of 56 is 2 x 2 x 2 x 7. This is because 56 can be divided by 2 three times, resulting in 8, and then by 7, resulting in a final quotient of 1. Therefore, the prime factors of 56 are 2 and 7, each occurring multiple times.