Prime factorization of 1029

Here you will see step by step solution of prime factorization of 1029, how to find factors of 1029, you will see all factors of 1029, how many factors of 1029 has? Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029, we can see that 1029 has 8 factor and sum of all factors is 1600.

  • All Factors of 1029: 1, 3, 7, 21, 49, 147, 343, 1029
  • Prime Factors of 1029: 3 × 7 × 7 × 7
  • Prime Factorization of 1029: 31 × 73
  • Sum of Factors of 1029: 1600
  • Is 1029 prime number: No

How to find factors of 1029 by Division Method?

To find the factors of 1029 by division method, we need the find the all numbers between 1 to 1029, which divide 1029 with 0 remainder, then the number is factor of 1029.

Pair factors of 1029

  • 1029/1 = 1029 [ 1 × 1029 (1, 1029) 1 and 1029 is pair factor of 1029]
  • 1029/3 = 343 [ 3 × 343 (3, 343) 3 and 343 is pair factor of 1029]
  • 1029/7 = 147 [ 7 × 147 (7, 147) 7 and 147 is pair factor of 1029]
  • 1029/21 = 49 [ 21 × 49 (21, 49) 21 and 49 is pair factor of 1029]
  • 1029/49 = 21 [ 49 × 21 (49, 21) 49 and 21 is pair factor of 1029]
  • 1029/147 = 7 [ 147 × 7 (147, 7) 147 and 7 is pair factor of 1029]
  • 1029/343 = 3 [ 343 × 3 (343, 3) 343 and 3 is pair factor of 1029]
  • 1029/1029 = 1 [ 1029 × 1 (1029, 1) 1029 and 1 is pair factor of 1029]

As we checked numbers between 1 to 1029 that are not leaving any remainder, hence we can say factors of 1029 is 1, 3, 7, 21, 49, 147, 343, 1029.

Also note that, in exponential form prime factorization of 1029 is written as 31 × 73 and it is a composite number.

Prime Factorization Calculator

We hope you understand that how to find factors of 1029. Let's check some other examples of factors.

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