Factors of 248

"Factors of a Number" Calculator

Factors of

What are the Factors of 248?

Answer

Factors of 248:
1, 2, 4, 8, 31, 62, 124, 248

(number 248 has 8 factors)

Factor Pairs of 248

A Factor Pair of number 248 is a combination of two factors which can be multiplied together to equal 248.

List of all possible Factor Pairs of 248:

  • 1 × 248 = 248
  • 2 × 124 = 248
  • 4 × 62 = 248
  • 8 × 31 = 248

How to find the Factors of 248

Divide 248 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 248, so any larger divisor would pair with a smaller one you have already checked.

  • 248 ÷ 1 = 248 — factors 1 and 248
  • 248 ÷ 2 = 124 — factors 2 and 124
  • 248 ÷ 3 — remainder 2, not a factor
  • 248 ÷ 4 = 62 — factors 4 and 62
  • 248 ÷ 5 — remainder 3, not a factor
  • 248 ÷ 6 — remainder 2, not a factor
  • 248 ÷ 7 — remainder 3, not a factor
  • 248 ÷ 8 = 31 — factors 8 and 31
  • 248 ÷ 9 — remainder 5, not a factor
  • 248 ÷ 10 — remainder 8, not a factor
  • 248 ÷ 11 — remainder 6, not a factor
  • 248 ÷ 12 — remainder 8, not a factor
  • 248 ÷ 13 — remainder 1, not a factor
  • 248 ÷ 14 — remainder 10, not a factor
  • 248 ÷ 15 — remainder 8, not a factor

Why 248 has exactly 8 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.

248 = 23 × 31

(3 + 1) × (1 + 1) = 8

Step-by-step factorization: Prime factors of 248.

See Also

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 248? (The answer is: 1, 2, 4, 8, 31, 62, 124, 248). Pick the number (e.g. '248'). 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
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
2551, 3, 5, 15, 17, 51, 85, 255
2561, 2, 4, 8, 16, 32, 64, 128, 256
2571, 257
2581, 2, 3, 6, 43, 86, 129, 258
2591, 7, 37, 259
2601, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
2611, 3, 9, 29, 87, 261
2621, 2, 131, 262

FAQ

What are the Factors of 248?

Factors of 248: 1, 2, 4, 8, 31, 62, 124, 248

How many factors does 248 have?

Number 248 has 8 factors

How many Factor Pairs does 248 have?

Number 248 has 4 factor pairs