Factors and Factorization

Question 1

What is a ‘Factor Rainbow’?

Answer 1

When you list out a number’s factors and tie the factor strings so it looks like a rainbow.

Question 2

What is the best first move for the Factor Game?

Answer 2

The highest prime number on the board.

Question 3

What is a ‘Factor Tree’?

Answer 3

When you write the number on the top, then list out a factor pair. Then do that for those factor pairs, and so on. The Factor Tree is done when you reach the prime factorization.

Question 4

How can you use prime factorization to find a LCM?

Answer 4

You must list all the numbers in the prime factorizations except for the common factors. The product of those numbers is the LCM.

Question 5

How can you use prime factorization to find a GCF?

Answer 5

You must look for the longest common factor string in the prime factorizations. The product of that string is the GCF.

Question 6

In what order do you list the prime factorization?

Answer 6

Least to greatest and with exponents if they apply.

Question 7

How can you use prime factorization to find factors?

Answer 7

You must list out the prime factorization of a number. From that make all the possible multiplication sentences. Then add 1 and all the numbers in the prime factorization.