Prime factorization of 1016

Here you will see step by step solution of prime factorization of 1016, how to find factors of 1016, you will see all factors of 1016, how many factors of 1016 has? Factors of 1016 are 1, 2, 4, 8, 127, 254, 508, 1016, we can see that 1016 has 8 factor and sum of all factors is 1920.

  • All Factors of 1016: 1, 2, 4, 8, 127, 254, 508, 1016
  • Prime Factors of 1016: 2 × 2 × 2 × 127
  • Prime Factorization of 1016: 23 × 1271
  • Sum of Factors of 1016: 1920
  • Is 1016 prime number: No

How to find factors of 1016 by Division Method?

To find the factors of 1016 by division method, we need the find the all numbers between 1 to 1016, which divide 1016 with 0 remainder, then the number is factor of 1016.

Pair factors of 1016

  • 1016/1 = 1016 [ 1 × 1016 (1, 1016) 1 and 1016 is pair factor of 1016]
  • 1016/2 = 508 [ 2 × 508 (2, 508) 2 and 508 is pair factor of 1016]
  • 1016/4 = 254 [ 4 × 254 (4, 254) 4 and 254 is pair factor of 1016]
  • 1016/8 = 127 [ 8 × 127 (8, 127) 8 and 127 is pair factor of 1016]
  • 1016/127 = 8 [ 127 × 8 (127, 8) 127 and 8 is pair factor of 1016]
  • 1016/254 = 4 [ 254 × 4 (254, 4) 254 and 4 is pair factor of 1016]
  • 1016/508 = 2 [ 508 × 2 (508, 2) 508 and 2 is pair factor of 1016]
  • 1016/1016 = 1 [ 1016 × 1 (1016, 1) 1016 and 1 is pair factor of 1016]

As we checked numbers between 1 to 1016 that are not leaving any remainder, hence we can say factors of 1016 is 1, 2, 4, 8, 127, 254, 508, 1016.

Also note that, in exponential form prime factorization of 1016 is written as 23 × 1271 and it is a composite number.

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We hope you understand that how to find factors of 1016. Let's check some other examples of factors.

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