# CLASS-4METHOD OF FINDING FACTORS

METHOD OF FINDING FACTORS :-

1. DIVISION METHOD :-

[Here we find the factors by finding the numbers with which they are exactly divisible by using rules of divisibility.]

Example 1: Find all the factors of 30.

Ans.)

[The divisors and quotients are underlined, these are the factors.]

∴ The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30.

[Arrange the factors in ascending order - small to big]

2. MULTIPLICATION METHOD :-

[Here we find the numbers which when multiplied will give 24. [Use rules of divisibility.]

Example 2: Find all the factors of 24.

Ans.)

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24.

[Arrange the factors in ascending order - small to big]

3. PRIME FACTORIZATION METHOD :-

·  In this method, we divide the number with its Smallest Prime Factor.

·  Keep on dividing till we get one as a quotient.

·  We must use PRIME NUMBERS ONLY.

Example: Write the prime factorization of 210.

Ans.)

So, 210 = 2 x 3 x 5 x 7 x 1

The factors of 210 is 1, 2, 3, 5, 7.

[Arrange the factors in ascending order - small to big]