Factors of 400

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What are the Factors of 400?

Answer

Factors of 400:
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

15 factors · 400 = 24 × 52 · composite

Underlined — prime: 2, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 400

  • 1 × 400
  • 2 × 200
  • 4 × 100
  • 5 × 80
  • 8 × 50
  • 10 × 40
  • 16 × 25
  • 20 × 20

20 × 20 is a pair of one factor — that is why 400 has an odd number of factors, 15.

400 = 24 × 52 → (4 + 1) × (2 + 1) = 15 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
3851, 5, 7, 11, 35, 55, 77, 385
3861, 2, 193, 386
3871, 3, 9, 43, 129, 387
3881, 2, 4, 97, 194, 388
3891, 389
3901, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
3911, 17, 23, 391
3921, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
3931, 3, 131, 393
3941, 2, 197, 394
3951, 5, 79, 395
3961, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
3971, 397
3981, 2, 199, 398
3991, 3, 7, 19, 21, 57, 133, 399
4001, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
4011, 401
4021, 2, 3, 6, 67, 134, 201, 402
4031, 13, 31, 403
4041, 2, 4, 101, 202, 404
4051, 3, 5, 9, 15, 27, 45, 81, 135, 405
4061, 2, 7, 14, 29, 58, 203, 406
4071, 11, 37, 407
4081, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
4091, 409
4101, 2, 5, 10, 41, 82, 205, 410
4111, 3, 137, 411
4121, 2, 4, 103, 206, 412
4131, 7, 59, 413
4141, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

FAQ

What are the Factors of 400?

Factors of 400: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

How many factors does 400 have?

Number 400 has 15 factors

How many Factor Pairs does 400 have?

Number 400 has 8 factor pairs

Is 400 a prime or composite number?

Composite: 400 = 2⁴ × 5², so it has 15 factors — a prime has exactly two.

How many factors does 400 have excluding 1 and 400?

13: 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100 and 200.

Why does 400 have an odd number of factors?

400 is a perfect square: in the pair 20 × 20 the factor 20 pairs with itself, so the 15 factors are 7 pairs plus 20.

See Also