Factors Of 40

Factors of 40 are the numbers which can divide the original number 40 and results in whole number as quaotient. Basically, when we multiplied any two factors in pairs we get the original number. Whereas multiples of 40 are the extended times of it, such as, 40, 80, 120, 160, 200, 240, and so on. This is the difference between factors and multiples. 40 is a composite number same as 36, 24, 18, 60, 45, etc and have more than 2 factors. We will find out here factors in pairs and prime factors of number 40. To know more, keep reading.

factors of 40

Factors Of 40 in Pairs

We can find the factor pairs, by multiplying two numbers in a pair to get the original number as 40, such as;

1 × 40 = 40

2 × 20 = 40

4 × 10 = 40

5 × 8 = 40

Therefore, the factors in pairs are (1, 40), (2, 20), (4, 10) and (5, 8).

Factors Of 40
1, 2, 4, 5, 8, 10, 20 and 40

Prime Factorisation of 40

The number 40 is a composite number, now let us find its prime factors.

  • The first step is to divide the number 40 with the smallest prime factor,i.e. 2.

40 ÷ 2 = 20

           Again, divide 20 by 2.

20 ÷ 2 = 10

  • Keep on dividing unless you get an odd number, as we know any odd number if divided by 2 gives a fraction. And we cannot consider a fraction as a factor. Therefore,

 10 ÷ 2 = 5

          Now, if we divide 5 by 2 we get a fraction number.

  • Now, proceed to the next prime numbers, i.e. 3, 5, 7 and so on.

5 ÷ 3 = 1.67; not a factor.

          Move to next prime number, 5.

  • Dividing 5 by 5 we get,

5 ÷ 5 = 1

  • We have received 1 at the end and further, we cannot proceed with the division method. So, the prime factorisation of 40 are 2 × 2 × 2 × 5 or 23 × 5, where 2 and 5 are the prime numbers.

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