Factors

Transcript

Factors 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