Factors Of 30

Factors of 30 are the numbers, which gives the result as 30 when multiplied together in pair of two. We can also say factors are the numbers which divide a number completely, leaving zero as remainder. All the composite numbers such as 24, 36, 42, etc. have their factor numbers. To find the factors of a number, 30, we will use the multiplication method here. The multiples of 30 are easy to evaluate and they are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420 and so on.

Factors Of 30 in Pairs

We can find the pair factors of number 30, by multiplying two numbers in a pair to get the original number as 30, such as;

1 × 30 = 30

2 × 15 = 30

3 × 10 = 30

5 × 6 = 30

Therefore,

Factors Of 30

1, 2, 3, 5, 6, 10, 15 and 30

Prime Factorisation of 30

The number 30 is a composite number. Now let us find the prime factors of it.

  • The first step is to divide the number 30 with the smallest prime factor,i.e. 2.

30 ÷ 2 = 15

          Again, divide 15 by 2.

15 ÷ 2 = 7.5; factor cannot be a fraction.

  • Now, proceed to the next prime numbers, i.e. 3 and divide 15 with it.

15 ÷ 3 = 5

          Again, if we divide 5 by 3, we get a fraction number, which we cannot consider as a factor.                            Therefore, we will move to the next prime number, which is 5.

5 ÷ 5 = 1

  • We have received 1 at the end and further, we cannot proceed with the division method, as 1 don’t have any multiples. So, the prime factors of 30 are 2 × 3 × 5, where 2, 3 and 5 are the prime numbers.

Get factors of more numbers in the below-given links and download BYJU’S – The Learning App for a better experience of learning.

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