Math Factoring

by Michelle Franko

| 1 QuestionNote from the author:

Factoring progression

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How comfortable do you feel with factoring numbers?

A - Beginning Level

· I know that a factor is a number that I can multiply to get a bigger number (For example, if A x B = C, then A and B are factors of C).

· I know that a number is prime if you can only put it into equal groups of 1 or one big group (For example, you can only put 13 objects into 13 groups of 1 or 1 group of 13).

· I know that a composite number can be put into groups in more than just two ways.

I have a strategy for figuring out ways to put a number into equal sized groups.

B - Progressing

· I have strategies (such as a T-table) to find factors of a number, though I sometimes don’t find all of the pairs.

· I know that if a number is a factor of another number, I can write a multiplication equation using both of them (For example, 4 is a factor of 28 so I know that I can write a multiplication equation with a 4 and a 28. 4 x 7 = 28).

· I have a strategy (such as a multiples list) to figure out if a number is a multiple of another number.

I know that if a number has more than one factor pair, it is composite and if it only has one factor pair, it is prime

C - Meeting

· I can find all of the factor pairs for any number between 1 and 100.

· I understand that a number is a multiple of each of its factors (For example, if 1, 2, 3, and 6 are the factors of 6, that means that 6 is a multiple of 1, 2, 3, and 6).

· I can figure out if a number between 1 and 100 is a multiple of a one-digit number (For example, I can figure out if 78 is a multiple of 6).

I can figure out if a number between 1 and 100 is prime (exactly two factors) or composite (more than 2 factors).

D - Exceeding

· I can use properties of numbers to instantly determine if a number is a multiple of a one-digit number (For example, I can sum the digits of the number 56 to determine right away that it is not a multiple of 3).

I can factor numbers larger than 100.

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