Factors of 2025

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What are the factors of 2,025?

Answer

Factors of 2,025:
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

15 factors · 2025 = 34 × 52 · composite

Underlined — prime: 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 2,025

  • 1 × 2025
  • 3 × 675
  • 5 × 405
  • 9 × 225
  • 15 × 135
  • 25 × 81
  • 27 × 75
  • 45 × 45

45 × 45 is a pair of one factor — that is why 2025 has an odd number of factors, 15.

2025 = 34 × 52 → (4 + 1) × (2 + 1) = 15 factors: add 1 to each exponent and multiply.

See Also

FAQ

What are the factors of 2,025?

Factors of 2,025: 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405, 675, 2025

How many factors does 2,025 have?

Number 2,025 has 15 factors

How many factor pairs does 2,025 have?

Number 2,025 has 8 factor pairs

Is 2,025 a prime or composite number?

Composite: 2025 = 3⁴ × 5², so it has 15 factors — a prime has exactly two.

How many factors does 2,025 have excluding 1 and 2,025?

13: 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 405 and 675.

Why does 2,025 have an odd number of factors?

2,025 is a perfect square: in the pair 45 × 45 the factor 45 pairs with itself, so the 15 factors are 7 pairs plus 45.