Factors of 420

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What are the Factors of 420?

Answer

Factors of 420:

24 factors: 1, 2, 3, 4, 5 … 140, 210, 420

all 24 factors

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

24 factors · 420 = 2² × 3 × 5 × 7 · composite

Underlined — prime: 2, 3, 5, 7 · 1 — neither prime nor composite · others — composite

Factor pairs of 420

1 × 420
2 × 210
3 × 140
4 × 105
5 × 84
6 × 70
7 × 60
10 × 42
12 × 35
14 × 30
15 × 28
20 × 21

√420 ≈ 20.49 — the last pair 20 × 21 sits here; past it pairs repeat.

420 = 2² × 3 × 5 × 7 → (2 + 1) × (1 + 1) × (1 + 1) × (1 + 1) = 24 factors: add 1 to each exponent and multiply.

Related Calculations

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 Table

Number	Factors
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
415	1, 5, 83, 415
416	1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
417	1, 3, 139, 417
418	1, 2, 11, 19, 22, 38, 209, 418
419	1, 419
420	1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
421	1, 421
422	1, 2, 211, 422
423	1, 3, 9, 47, 141, 423
424	1, 2, 4, 8, 53, 106, 212, 424
425	1, 5, 17, 25, 85, 425
426	1, 2, 3, 6, 71, 142, 213, 426
427	1, 7, 61, 427
428	1, 2, 4, 107, 214, 428
429	1, 3, 11, 13, 33, 39, 143, 429
430	1, 2, 5, 10, 43, 86, 215, 430
431	1, 431
432	1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
433	1, 433
434	1, 2, 7, 14, 31, 62, 217, 434

FAQ

What are the Factors of 420?

Factors of 420: 24 factors: 1, 2, 3, 4, 5 … 140, 210, 420

How many factors does 420 have?

Number 420 has 24 factors

How many Factor Pairs does 420 have?

Number 420 has 12 factor pairs

Is 420 a prime or composite number?

Composite: 420 = 2² × 3 × 5 × 7, so it has 24 factors — a prime has exactly two.

How many factors does 420 have excluding 1 and 420?

22 — all 24 factors except 1 and 420.