Factors of 576

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What are the Factors of 576?

Answer

Factors of 576:
21 factors: 1, 2, 3, 4, 6 … 192, 288, 576
all 21 factors

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

21 factors · 576 = 26 × 32 · composite

Underlined — prime: 2, 3 · 1 — neither prime nor composite · others — composite

Factor pairs of 576

  • 1 × 576
  • 2 × 288
  • 3 × 192
  • 4 × 144
  • 6 × 96
  • 8 × 72
  • 9 × 64
  • 12 × 48
  • 16 × 36
  • 18 × 32
  • 24 × 24

24 × 24 is a pair of one factor — that is why 576 has an odd number of factors, 21.

576 = 26 × 32 → (6 + 1) × (2 + 1) = 21 factors: add 1 to each exponent and multiply.

See Also

FAQ

What are the Factors of 576?

Factors of 576: 21 factors: 1, 2, 3, 4, 6 … 192, 288, 576

How many factors does 576 have?

Number 576 has 21 factors

How many Factor Pairs does 576 have?

Number 576 has 11 factor pairs

Is 576 a prime or composite number?

Composite: 576 = 2⁶ × 3², so it has 21 factors — a prime has exactly two.

How many factors does 576 have excluding 1 and 576?

19: 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192 and 288.

Why does 576 have an odd number of factors?

576 is a perfect square: in the pair 24 × 24 the factor 24 pairs with itself, so the 21 factors are 10 pairs plus 24.