Factors and multiples- Quant Study Notes for Competitive Exams

Define factors and multiples.

Factors of a number are the numbers by which when the number is divided, the remainder will be 0 and Multiples of a number are the numbers which are if divided by the number, the remainder will be 0. E.g. 8 has the factors 1, 2, 4 and 8 and has the multiples 8, 16, 24, etc.

Is 12 a factor and a multiple?

The factors of 12 are 1, 2, 3, 4, 6 and 12. The multiples of 12 are 12, 36, 48, 60, 72, 84, 96, etc. 

Is 49 a multiple of 6?

no

Is  a 63 factor of 7?

No, Factors of 7 are 1 and 7. 

What are Co- prime Numbers?

Co-Prime numbers are the two numbers which have no common factor other than 1. e.g. 24 and 25 are co-prime numbers because 24 has factors 1, 2, 3, 4, 6, 8, 12, 24 and 25 has factors 1, 5, 25. No factor is common other than 1.