Prime factorization of 1003

Here you will see step by step solution of prime factorization of 1003, how to find factors of 1003, you will see all factors of 1003, how many factors of 1003 has? Factors of 1003 are 1, 17, 59, 1003, we can see that 1003 has 4 factor and sum of all factors is 1080.

  • All Factors of 1003: 1, 17, 59, 1003
  • Prime Factors of 1003: 17 × 59
  • Prime Factorization of 1003: 171 × 591
  • Sum of Factors of 1003: 1080
  • Is 1003 prime number: No

How to find factors of 1003 by Division Method?

To find the factors of 1003 by division method, we need the find the all numbers between 1 to 1003, which divide 1003 with 0 remainder, then the number is factor of 1003.

Pair factors of 1003

  • 1003/1 = 1003 [ 1 × 1003 (1, 1003) 1 and 1003 is pair factor of 1003]
  • 1003/17 = 59 [ 17 × 59 (17, 59) 17 and 59 is pair factor of 1003]
  • 1003/59 = 17 [ 59 × 17 (59, 17) 59 and 17 is pair factor of 1003]
  • 1003/1003 = 1 [ 1003 × 1 (1003, 1) 1003 and 1 is pair factor of 1003]

As we checked numbers between 1 to 1003 that are not leaving any remainder, hence we can say factors of 1003 is 1, 17, 59, 1003.

Also note that, in exponential form prime factorization of 1003 is written as 171 × 591 and it is a composite number.

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We hope you understand that how to find factors of 1003. Let's check some other examples of factors.

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