Suppose we multiply two numbers to get a number
Here,
2 & 3 are factors of 6
Similarly,
Here,
1 & 6 are factors of 6
How to find factors?
Suppose we have to find factors of 6
- We start with 1, and multiply it with a number to get 6.
- Then, we do the same with 2, 3, 4, 5.. until the number repeats
So,
1 × 6 = 6
2 × 3 = 6
3 × 2 = 6
We stop here as 3, 2 have occurred earlier
∴ Factors of 6 are 1, 2, 3, 6
Find factors of 8
1 × 8 = 8
2 × 4 = 8
3 ×
4 × 2 = 8
We stop here as 2 & 4 have occurred earlier
So, factors of 8 are 1, 2, 4, 8
Find factors of 14
1 × 14 = 14
2 × 7 = 14
3 ×
4 ×
5 ×
6 ×
7 × 2 = 14
We stop here as 2 & 7 have occurred earlier
So, factors of 14 are 1, 2, 7, 14
Find factors of 30
1 × 30 = 30
2 × 15 = 30
3 × 10 = 30
4 ×
5 × 6 = 30
6 × 5 = 30
We stop here as 5 & 6 have occurred earlier
So, factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Properties of factor
- 1 is the factor of every number
- Every number is the factor of itself
- Every factor is less than or equal to the given number
- There are finite number of factors
