Prime factorization of 1025

Here you will see step by step solution of prime factorization of 1025, how to find factors of 1025, you will see all factors of 1025, how many factors of 1025 has? Factors of 1025 are 1, 5, 25, 41, 205, 1025, we can see that 1025 has 6 factor and sum of all factors is 1302.

  • All Factors of 1025: 1, 5, 25, 41, 205, 1025
  • Prime Factors of 1025: 5 × 5 × 41
  • Prime Factorization of 1025: 52 × 411
  • Sum of Factors of 1025: 1302
  • Is 1025 prime number: No

How to find factors of 1025 by Division Method?

To find the factors of 1025 by division method, we need the find the all numbers between 1 to 1025, which divide 1025 with 0 remainder, then the number is factor of 1025.

Pair factors of 1025

  • 1025/1 = 1025 [ 1 × 1025 (1, 1025) 1 and 1025 is pair factor of 1025]
  • 1025/5 = 205 [ 5 × 205 (5, 205) 5 and 205 is pair factor of 1025]
  • 1025/25 = 41 [ 25 × 41 (25, 41) 25 and 41 is pair factor of 1025]
  • 1025/41 = 25 [ 41 × 25 (41, 25) 41 and 25 is pair factor of 1025]
  • 1025/205 = 5 [ 205 × 5 (205, 5) 205 and 5 is pair factor of 1025]
  • 1025/1025 = 1 [ 1025 × 1 (1025, 1) 1025 and 1 is pair factor of 1025]

As we checked numbers between 1 to 1025 that are not leaving any remainder, hence we can say factors of 1025 is 1, 5, 25, 41, 205, 1025.

Also note that, in exponential form prime factorization of 1025 is written as 52 × 411 and it is a composite number.

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We hope you understand that how to find factors of 1025. Let's check some other examples of factors.

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