Prime factorization of 30

Here you will see step by step solution of prime factorization of 30, how to find factors of 30, you will see all factors of 30, how many factors of 30 has? Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30, we can see that 30 has 8 factor and sum of all factors is 72.

  • All Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
  • Prime Factors of 30: 2 × 3 × 5
  • Prime Factorization of 30: 21 × 31 × 51
  • Sum of Factors of 30: 72
  • Is 30 prime number: No

How to find factors of 30 by Division Method?

To find the factors of 30 by division method, we need the find the all numbers between 1 to 30, which divide 30 with 0 remainder, then the number is factor of 30.

Pair factors of 30

  • 30/1 = 30 [ 1 × 30 (1, 30) 1 and 30 is pair factor of 30]
  • 30/2 = 15 [ 2 × 15 (2, 15) 2 and 15 is pair factor of 30]
  • 30/3 = 10 [ 3 × 10 (3, 10) 3 and 10 is pair factor of 30]
  • 30/5 = 6 [ 5 × 6 (5, 6) 5 and 6 is pair factor of 30]
  • 30/6 = 5 [ 6 × 5 (6, 5) 6 and 5 is pair factor of 30]
  • 30/10 = 3 [ 10 × 3 (10, 3) 10 and 3 is pair factor of 30]
  • 30/15 = 2 [ 15 × 2 (15, 2) 15 and 2 is pair factor of 30]
  • 30/30 = 1 [ 30 × 1 (30, 1) 30 and 1 is pair factor of 30]

As we checked numbers between 1 to 30 that are not leaving any remainder, hence we can say factors of 30 is 1, 2, 3, 5, 6, 10, 15, 30.

Also note that, in exponential form prime factorization of 30 is written as 21 × 31 × 51 and it is a composite number.

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We hope you understand that how to find factors of 30. Let's check some other examples of factors.

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