Unit 2. Divisibility

1

Factors of a number

are also called divisors

of the number

NIT 2. DIVISIBILITY

1 Factors. Factoring a whole number. 

Factors: Numbers that are multiplied together are called factors.

xample: 

As we can write we can say that 3 and 4 are factors of 12 The pairs of whole numbers whose product is 12 are: 

In order, from least to greatest, the factors of 12 are 1, 2, 3, 4, 6, and 12. 

To factor a whole number means to express it as the product of other whole numbers.

 Notice that each of the factors divides 12 exactly, leaving a remainder of 0.

The factors of a number divide that number evenly (there is no remainder).

xample: 1, 2, 3, and 6 are natural number factors of 6 because they divide 6 evenly.

How do we find all the factors of a number?

Try dividing the number by 1, 2, 3, 4, 5 . . . Those numbers that divide the number evenly are its factors.

xample: Find all the factors of 42.

All the factors of 42 have been found. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.

.

Factor 18 using a) two factors b)three factors

2 . Factor 40 using a) two factors b) three factors

3 . a) Find all the factors of 30 b) Find the factors of 23. c) Find the factors of 17

 

Glossary:

Factors of a number

 To factor a number

The factors are repeating