Prime factorization of 1023

Here you will see step by step solution of prime factorization of 1023, how to find factors of 1023, you will see all factors of 1023, how many factors of 1023 has? Factors of 1023 are 1, 3, 11, 31, 33, 93, 341, 1023, we can see that 1023 has 8 factor and sum of all factors is 1536.

  • All Factors of 1023: 1, 3, 11, 31, 33, 93, 341, 1023
  • Prime Factors of 1023: 3 × 11 × 31
  • Prime Factorization of 1023: 31 × 111 × 311
  • Sum of Factors of 1023: 1536
  • Is 1023 prime number: No

How to find factors of 1023 by Division Method?

To find the factors of 1023 by division method, we need the find the all numbers between 1 to 1023, which divide 1023 with 0 remainder, then the number is factor of 1023.

Pair factors of 1023

  • 1023/1 = 1023 [ 1 × 1023 (1, 1023) 1 and 1023 is pair factor of 1023]
  • 1023/3 = 341 [ 3 × 341 (3, 341) 3 and 341 is pair factor of 1023]
  • 1023/11 = 93 [ 11 × 93 (11, 93) 11 and 93 is pair factor of 1023]
  • 1023/31 = 33 [ 31 × 33 (31, 33) 31 and 33 is pair factor of 1023]
  • 1023/33 = 31 [ 33 × 31 (33, 31) 33 and 31 is pair factor of 1023]
  • 1023/93 = 11 [ 93 × 11 (93, 11) 93 and 11 is pair factor of 1023]
  • 1023/341 = 3 [ 341 × 3 (341, 3) 341 and 3 is pair factor of 1023]
  • 1023/1023 = 1 [ 1023 × 1 (1023, 1) 1023 and 1 is pair factor of 1023]

As we checked numbers between 1 to 1023 that are not leaving any remainder, hence we can say factors of 1023 is 1, 3, 11, 31, 33, 93, 341, 1023.

Also note that, in exponential form prime factorization of 1023 is written as 31 × 111 × 311 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 1023. Let's check some other examples of factors.

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