Factors Step Down Method Lesson
Factors Step Down Method
Factors are all the numbers that can be multipled to get any composite number.
eg., factors of 32 are 1, 2, 4, 8, 16, 32
1 × 32 = 32 or 2 × 16 = 32 or 4 × 8 = 32
How It Works
eg., 54
Start by dividing with the smallest prime number and work your way up, using all of the prime numbers smaller than the number, if needed.
Can the number be divided by 2?
54 ÷ 2 = 27
Can the number be divided by 3?
27 ÷ 3 = 7
The factors for 54 are 1, 2, 3, 6, 9, 18, 27, 54.
Factors Step Down Method Lesson
eg. What are the factors of 64?
(For each step, always start by dividing by the smallest prime number.)
- (divide 64 by 2)..................2 |64
- (divide 32 by 2)..................2 |32
- (divide 16 by 2)..................2 |16
- (divide 8 by 2)....................2 |8
- (divide 4 by 2)....................2 |4
- (divide 2 by 2)....................2 |2
- (divide 1 by 1)....................1 |1
The factors are all the numbers and their multiples.
eg., The factors of 64 are 1, 2, 4, 8, 16, 32, 64.
The step down method or the tree method occasionally will not show all the factors.
eg., 56. The factors are 1, 2, 4, 7, 8, 14, 28, 56. These factoring methods show 1, 2, 2, 2, 7, 14, 28, 56. It misses 4 and 8 which can be gotten by multiplying the extra 2s to replace themselves in the chain of numbers. 2 × 2 to get 4 and 4 × 2 to get 8.
Factors Step Down Problem
eg. What are the prime factors of 44?
- (divide).................. |44
- (divide).................. |
- (divide).................. |
- (divide).................. |
- (divide).................. |
- (divide).................. |
The factors are
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