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

(number 400 has 15 factors)

Factor Pairs of 400

A Factor Pair of number 400 is a combination of two factors which can be multiplied together to equal 400.

List of all possible Factor Pairs of 400:

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

How to find the Factors of 400

Divide 400 by every whole number from 1 up to 20. Each division without a remainder gives a factor and its pair. There is no point going further: 21 × 21 = 441 is already greater than 400, so any larger divisor would pair with a smaller one you have already checked.

  • 400 ÷ 1 = 400 — factors 1 and 400
  • 400 ÷ 2 = 200 — factors 2 and 200
  • 400 ÷ 3 — remainder 1, not a factor
  • 400 ÷ 4 = 100 — factors 4 and 100
  • 400 ÷ 5 = 80 — factors 5 and 80
  • 400 ÷ 6 — remainder 4, not a factor
  • 400 ÷ 7 — remainder 1, not a factor
  • 400 ÷ 8 = 50 — factors 8 and 50
  • 400 ÷ 9 — remainder 4, not a factor
  • 400 ÷ 10 = 40 — factors 10 and 40
  • 400 ÷ 11 — remainder 4, not a factor
  • 400 ÷ 12 — remainder 4, not a factor
  • 400 ÷ 13 — remainder 10, not a factor
  • 400 ÷ 14 — remainder 8, not a factor
  • 400 ÷ 15 — remainder 10, not a factor
  • 400 ÷ 16 = 25 — factors 16 and 25
  • 400 ÷ 17 — remainder 9, not a factor
  • 400 ÷ 18 — remainder 4, not a factor
  • 400 ÷ 19 — remainder 1, not a factor
  • 400 ÷ 20 = 20 — factor 20, paired with itself

Why 400 has exactly 15 factors

The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.

400 = 24 × 52

(4 + 1) × (2 + 1) = 15

Step-by-step factorization: Prime factors of 400.

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About "Factors of a Number" Calculator

This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 400? (The answer is: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400). Pick the number (e.g. '400'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
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Factors of

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

See Also