Factors of 315

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Factors of

What are the Factors of 315?

Answer

Factors of 315:
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

(number 315 has 12 factors)

Factor Pairs of 315

A Factor Pair of number 315 is a combination of two factors which can be multiplied together to equal 315.

List of all possible Factor Pairs of 315:

  • 1 × 315 = 315
  • 3 × 105 = 315
  • 5 × 63 = 315
  • 7 × 45 = 315
  • 9 × 35 = 315
  • 15 × 21 = 315

How to find the Factors of 315

Divide 315 by every whole number from 1 up to 17. Each division without a remainder gives a factor and its pair. There is no point going further: 18 × 18 = 324 is already greater than 315, so any larger divisor would pair with a smaller one you have already checked.

  • 315 ÷ 1 = 315 — factors 1 and 315
  • 315 ÷ 2 — remainder 1, not a factor
  • 315 ÷ 3 = 105 — factors 3 and 105
  • 315 ÷ 4 — remainder 3, not a factor
  • 315 ÷ 5 = 63 — factors 5 and 63
  • 315 ÷ 6 — remainder 3, not a factor
  • 315 ÷ 7 = 45 — factors 7 and 45
  • 315 ÷ 8 — remainder 3, not a factor
  • 315 ÷ 9 = 35 — factors 9 and 35
  • 315 ÷ 10 — remainder 5, not a factor
  • 315 ÷ 11 — remainder 7, not a factor
  • 315 ÷ 12 — remainder 3, not a factor
  • 315 ÷ 13 — remainder 3, not a factor
  • 315 ÷ 14 — remainder 7, not a factor
  • 315 ÷ 15 = 21 — factors 15 and 21
  • 315 ÷ 16 — remainder 11, not a factor
  • 315 ÷ 17 — remainder 9, not a factor

Why 315 has exactly 12 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.

315 = 32 × 5 × 7

(2 + 1) × (1 + 1) × (1 + 1) = 12

Step-by-step factorization: Prime factors of 315.

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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 315? (The answer is: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315). Pick the number (e.g. '315'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator

Factors of

Factors Table

NumberFactors
3001, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
3011, 7, 43, 301
3021, 2, 151, 302
3031, 3, 101, 303
3041, 2, 4, 8, 16, 19, 38, 76, 152, 304
3051, 5, 61, 305
3061, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
3071, 307
3081, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
3091, 3, 103, 309
3101, 2, 5, 10, 31, 62, 155, 310
3111, 311
3121, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
3131, 313
3141, 2, 157, 314
3151, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
3161, 2, 4, 79, 158, 316
3171, 317
3181, 2, 3, 6, 53, 106, 159, 318
3191, 11, 29, 319
3201, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
3211, 3, 107, 321
3221, 2, 7, 14, 23, 46, 161, 322
3231, 17, 19, 323
3241, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
3251, 5, 13, 25, 65, 325
3261, 2, 163, 326
3271, 3, 109, 327
3281, 2, 4, 8, 41, 82, 164, 328
3291, 7, 47, 329

FAQ

What are the Factors of 315?

Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

How many factors does 315 have?

Number 315 has 12 factors

How many Factor Pairs does 315 have?

Number 315 has 6 factor pairs

See Also