Factors and Prime Factorization of 64

The video tutorial explains how to find all the factors of 64 using divisibility rules and the rainbow technique. It begins by identifying 64 as a composite number and demonstrates finding factors using divisibility rules for numbers 2 through 8. The tutorial then introduces a factor tree to perform prime factorization, showing that 64 is 2 to the power of 6. The video concludes by summarizing the factors and prime factors of 64, ensuring all factors are identified.

What is the first step in finding the factors of 64 using the rainbow method?

• Use a calculator to find factors.

• Write down the number 64 and its half.

• List all numbers from 1 to 64.

• Write down 1 and 64 as the starting factors.

Which number is not a factor of 64 based on divisibility rules?

• 8

• 2

• 4

• 3

Why does the number 5 not divide 64?

• 64 is not a multiple of 5.

• 64 does not end in 0 or 5.

• 64 is a prime number.

• 64 is an even number.

What is the result of dividing 64 by 8?

• 9

• 8

• 7

• 6

What are the complete set of factors of 64?

• 1, 2, 4, 8, 16, 32

• 1, 2, 4, 8, 16, 32, 48

• 1, 2, 4, 8, 16, 32, 64

• 1, 2, 3, 4, 8, 16, 64

What is the prime factorization of 64?

• 2^4

• 2^5

• 2^6

• 2^3

How many times does 2 divide into 64 in the factor tree?

• 7 times

• 6 times

• 5 times

• 4 times

What is the total number of factors of 64?

• 6

• 5

• 8

• 7

How do you determine the number of factors from the prime factorization?

• Add 1 to each exponent and multiply.

• Subtract 1 from each exponent and multiply.

• Multiply the exponents directly.

• Add the exponents together.

What is the significance of the prime factorization in finding factors?

• It confirms the total number of factors.

• It helps in finding the greatest common divisor.

• It is used for division.

• It simplifies the number.