Factors of 240

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What are the Factors of 240?

Answer

Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

(number 240 has 20 factors)

Factor Pairs of 240

A Factor Pair of number 240 is a combination of two factors which can be multiplied together to equal 240.

List of all possible Factor Pairs of 240:

  • 1 × 240 = 240
  • 2 × 120 = 240
  • 3 × 80 = 240
  • 4 × 60 = 240
  • 5 × 48 = 240
  • 6 × 40 = 240
  • 8 × 30 = 240
  • 10 × 24 = 240
  • 12 × 20 = 240
  • 15 × 16 = 240

How to find the Factors of 240

Divide 240 by every whole number from 1 up to 15. Each division without a remainder gives a factor and its pair. There is no point going further: 16 × 16 = 256 is already greater than 240, so any larger divisor would pair with a smaller one you have already checked.

  • 240 ÷ 1 = 240 — factors 1 and 240
  • 240 ÷ 2 = 120 — factors 2 and 120
  • 240 ÷ 3 = 80 — factors 3 and 80
  • 240 ÷ 4 = 60 — factors 4 and 60
  • 240 ÷ 5 = 48 — factors 5 and 48
  • 240 ÷ 6 = 40 — factors 6 and 40
  • 240 ÷ 7 — remainder 2, not a factor
  • 240 ÷ 8 = 30 — factors 8 and 30
  • 240 ÷ 9 — remainder 6, not a factor
  • 240 ÷ 10 = 24 — factors 10 and 24
  • 240 ÷ 11 — remainder 9, not a factor
  • 240 ÷ 12 = 20 — factors 12 and 20
  • 240 ÷ 13 — remainder 6, not a factor
  • 240 ÷ 14 — remainder 2, not a factor
  • 240 ÷ 15 = 16 — factors 15 and 16

Why 240 has exactly 20 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.

240 = 24 × 3 × 5

(4 + 1) × (1 + 1) × (1 + 1) = 20

Step-by-step factorization: Prime factors of 240.

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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 240? (The answer is: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240). Pick the number (e.g. '240'). 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
2251, 3, 5, 9, 15, 25, 45, 75, 225
2261, 2, 113, 226
2271, 227
2281, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2291, 229
2301, 2, 5, 10, 23, 46, 115, 230
2311, 3, 7, 11, 21, 33, 77, 231
2321, 2, 4, 8, 29, 58, 116, 232
2331, 233
2341, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
2351, 5, 47, 235
2361, 2, 4, 59, 118, 236
2371, 3, 79, 237
2381, 2, 7, 14, 17, 34, 119, 238
2391, 239
2401, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
2411, 241
2421, 2, 11, 22, 121, 242
2431, 3, 9, 27, 81, 243
2441, 2, 4, 61, 122, 244
2451, 5, 7, 35, 49, 245
2461, 2, 3, 6, 41, 82, 123, 246
2471, 13, 19, 247
2481, 2, 4, 8, 31, 62, 124, 248
2491, 3, 83, 249
2501, 2, 5, 10, 25, 50, 125, 250
2511, 251
2521, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
2531, 11, 23, 253
2541, 2, 127, 254

FAQ

What are the Factors of 240?

Factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

How many factors does 240 have?

Number 240 has 20 factors

How many Factor Pairs does 240 have?

Number 240 has 10 factor pairs

See Also