Factors of 48

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Factors of

What are the Factors of 48?

Answer

Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48

(number 48 has 10 factors)

Factor Pairs of 48

A Factor Pair of number 48 is a combination of two factors which can be multiplied together to equal 48.

List of all possible Factor Pairs of 48:

  • 1 × 48 = 48
  • 2 × 24 = 48
  • 3 × 16 = 48
  • 4 × 12 = 48
  • 6 × 8 = 48

How to find the Factors of 48

Divide 48 by every whole number from 1 up to 6. Each division without a remainder gives a factor and its pair. There is no point going further: 7 × 7 = 49 is already greater than 48, so any larger divisor would pair with a smaller one you have already checked.

  • 48 ÷ 1 = 48 — factors 1 and 48
  • 48 ÷ 2 = 24 — factors 2 and 24
  • 48 ÷ 3 = 16 — factors 3 and 16
  • 48 ÷ 4 = 12 — factors 4 and 12
  • 48 ÷ 5 — remainder 3, not a factor
  • 48 ÷ 6 = 8 — factors 6 and 8

Why 48 has exactly 10 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.

48 = 24 × 3

(4 + 1) × (1 + 1) = 10

Step-by-step factorization: Prime factors of 48.

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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 48? (The answer is: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48). Pick the number (e.g. '48'). 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
331, 3, 11, 33
341, 2, 17, 34
351, 5, 7, 35
361, 2, 3, 4, 6, 9, 12, 18, 36
371, 37
381, 2, 19, 38
391, 3, 13, 39
401, 2, 4, 5, 8, 10, 20, 40
411, 41
421, 2, 3, 6, 7, 14, 21, 42
431, 43
441, 2, 4, 11, 22, 44
451, 3, 5, 9, 15, 45
461, 2, 23, 46
471, 47
481, 2, 3, 4, 6, 8, 12, 16, 24, 48
491, 7, 49
501, 2, 5, 10, 25, 50
511, 3, 17, 51
521, 2, 4, 13, 26, 52
531, 53
541, 2, 3, 6, 9, 18, 27, 54
551, 5, 11, 55
561, 2, 4, 7, 8, 14, 28, 56
571, 3, 19, 57
581, 2, 29, 58
591, 59
601, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
611, 61
621, 2, 31, 62

FAQ

What are the Factors of 48?

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

How many factors does 48 have?

Number 48 has 10 factors

How many Factor Pairs does 48 have?

Number 48 has 5 factor pairs

See Also