Math Factoring
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by Michelle Franko
| 1 Question
Note 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. 