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Factors of 3,825

Answer

Factors: 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

Number of factors: 18

Factor pairs: (1, 3825), (3, 1275), (5, 765), (9, 425), (15, 255), (17, 225), (25, 153), (45, 85), (51, 75)

Prime Factorization

3825 = 32 × 52 × 17

Properties

  • This number is not prime
  • This number is not a perfect square
  • This is an odd number
  • Sum of all factors: 7,254

Check Numbers from 1 to 3,825

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Factors of 3,824 Factors of 3,826 Prime Factors of 3,825

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Understanding the Factors of 3,825

When we look at the number 3,825, we find that it has 18 factors in total. These are the numbers that divide evenly into 3,825 with no remainder.

This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 32 × 52 × 17.

Factor Pairs

The factors of 3,825 can be arranged in pairs: (1, 3825), (3, 1275), (5, 765), (9, 425), (15, 255), (17, 225), (25, 153), (45, 85), (51, 75). Each pair multiplies to give 3,825.

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