Prime factorization of 130

Here you will see step by step solution of prime factorization of 130, how to find factors of 130, you will see all factors of 130, how many factors of 130 has? Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130, we can see that 130 has 8 factor and sum of all factors is 252.

  • All Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
  • Prime Factors of 130: 2 × 5 × 13
  • Prime Factorization of 130: 21 × 51 × 131
  • Sum of Factors of 130: 252
  • Is 130 prime number: No

How to find factors of 130 by Division Method?

To find the factors of 130 by division method, we need the find the all numbers between 1 to 130, which divide 130 with 0 remainder, then the number is factor of 130.

Pair factors of 130

  • 130/1 = 130 [ 1 × 130 (1, 130) 1 and 130 is pair factor of 130]
  • 130/2 = 65 [ 2 × 65 (2, 65) 2 and 65 is pair factor of 130]
  • 130/5 = 26 [ 5 × 26 (5, 26) 5 and 26 is pair factor of 130]
  • 130/10 = 13 [ 10 × 13 (10, 13) 10 and 13 is pair factor of 130]
  • 130/13 = 10 [ 13 × 10 (13, 10) 13 and 10 is pair factor of 130]
  • 130/26 = 5 [ 26 × 5 (26, 5) 26 and 5 is pair factor of 130]
  • 130/65 = 2 [ 65 × 2 (65, 2) 65 and 2 is pair factor of 130]
  • 130/130 = 1 [ 130 × 1 (130, 1) 130 and 1 is pair factor of 130]

As we checked numbers between 1 to 130 that are not leaving any remainder, hence we can say factors of 130 is 1, 2, 5, 10, 13, 26, 65, 130.

Also note that, in exponential form prime factorization of 130 is written as 21 × 51 × 131 and it is a composite number.

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We hope you understand that how to find factors of 130. Let's check some other examples of factors.

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