Page 11 - SPARK OF MATH book 6

(1-4) Factorization.

A multiple is a number that is A factor is multiplied with

the product of two numbers. another number to get a
product.

5 8 40
5 8 40

How to find the multiples of a How to find the factors of
given number: a given number:

The multiples of 5 are Find the factors of 40:
Think (which two numbers
5, 10, 15, 20 ...
Since: can be multiplied) to get a

5 1= 5 product of 40?
5 2= 10 40 1 = 40

5 3= 15 20 2 = 40
5 4= 20 10 4 = 40
8 5 = 40
The multiples of a number can go on So the factors are: 1, 2, 4,
infinitively. 5, 8, 10, 20, 40

Every number can be written as a product of prime numbers.

This product is called prime factorization.You can use a diagram called
a factor tree to find the prime factorization.

Examples: Method 1 Method 2

Factor tree Repeated Division
60= 2 2 3 5
60
2 60 60÷2= 30

OR 2 30 30÷2= 15
2 30 OR
3 15 15÷3= 5
2
= 2 3 5
2 15 5 5 5÷5= 1
1
3 5

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