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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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See Also

Prime Number Checker - Find out whether a given number is Prime or not
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Factors of 400. Factors of 400: full list and factor pairs.

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Factors Table

Number	Factors
385	1, 5, 7, 11, 35, 55, 77, 385
386	1, 2, 193, 386
387	1, 3, 9, 43, 129, 387
388	1, 2, 4, 97, 194, 388
389	1, 389
390	1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
391	1, 17, 23, 391
392	1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
393	1, 3, 131, 393
394	1, 2, 197, 394
395	1, 5, 79, 395
396	1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
397	1, 397
398	1, 2, 199, 398
399	1, 3, 7, 19, 21, 57, 133, 399
400	1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
401	1, 401
402	1, 2, 3, 6, 67, 134, 201, 402
403	1, 13, 31, 403
404	1, 2, 4, 101, 202, 404
405	1, 3, 5, 9, 15, 27, 45, 81, 135, 405
406	1, 2, 7, 14, 29, 58, 203, 406
407	1, 11, 37, 407
408	1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
409	1, 409
410	1, 2, 5, 10, 41, 82, 205, 410
411	1, 3, 137, 411
412	1, 2, 4, 103, 206, 412
413	1, 7, 59, 413
414	1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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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.