Factors of 378

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Factors of

What are the Factors of 378?

Answer

Factors of 378:
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

(number 378 has 16 factors)

Factor Pairs of 378

A Factor Pair of number 378 is a combination of two factors which can be multiplied together to equal 378.

List of all possible Factor Pairs of 378:

  • 1 × 378 = 378
  • 2 × 189 = 378
  • 3 × 126 = 378
  • 6 × 63 = 378
  • 7 × 54 = 378
  • 9 × 42 = 378
  • 14 × 27 = 378
  • 18 × 21 = 378

How to find the Factors of 378

Divide 378 by every whole number from 1 up to 19. Each division without a remainder gives a factor and its pair. There is no point going further: 20 × 20 = 400 is already greater than 378, so any larger divisor would pair with a smaller one you have already checked.

  • 378 ÷ 1 = 378 — factors 1 and 378
  • 378 ÷ 2 = 189 — factors 2 and 189
  • 378 ÷ 3 = 126 — factors 3 and 126
  • 378 ÷ 4 — remainder 2, not a factor
  • 378 ÷ 5 — remainder 3, not a factor
  • 378 ÷ 6 = 63 — factors 6 and 63
  • 378 ÷ 7 = 54 — factors 7 and 54
  • 378 ÷ 8 — remainder 2, not a factor
  • 378 ÷ 9 = 42 — factors 9 and 42
  • 378 ÷ 10 — remainder 8, not a factor
  • 378 ÷ 11 — remainder 4, not a factor
  • 378 ÷ 12 — remainder 6, not a factor
  • 378 ÷ 13 — remainder 1, not a factor
  • 378 ÷ 14 = 27 — factors 14 and 27
  • 378 ÷ 15 — remainder 3, not a factor
  • 378 ÷ 16 — remainder 10, not a factor
  • 378 ÷ 17 — remainder 4, not a factor
  • 378 ÷ 18 = 21 — factors 18 and 21
  • 378 ÷ 19 — remainder 17, not a factor

Why 378 has exactly 16 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.

378 = 2 × 33 × 7

(1 + 1) × (3 + 1) × (1 + 1) = 16

Step-by-step factorization: Prime factors of 378.

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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 378? (The answer is: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378). Pick the number (e.g. '378'). 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
3631, 3, 11, 33, 121, 363
3641, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
3651, 5, 73, 365
3661, 2, 3, 6, 61, 122, 183, 366
3671, 367
3681, 2, 4, 8, 16, 23, 46, 92, 184, 368
3691, 3, 9, 41, 123, 369
3701, 2, 5, 10, 37, 74, 185, 370
3711, 7, 53, 371
3721, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
3731, 373
3741, 2, 11, 17, 22, 34, 187, 374
3751, 3, 5, 15, 25, 75, 125, 375
3761, 2, 4, 8, 47, 94, 188, 376
3771, 13, 29, 377
3781, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
3791, 379
3801, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
3811, 3, 127, 381
3821, 2, 191, 382
3831, 383
3841, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
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

FAQ

What are the Factors of 378?

Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

How many factors does 378 have?

Number 378 has 16 factors

How many Factor Pairs does 378 have?

Number 378 has 8 factor pairs

See Also