Factors of 31

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Factors of

What are the Factors of 31?

Answer

Factors of 31:
1, 31

(number 31 has 2 factors)

Factor Pairs of 31

A Factor Pair of number 31 is a combination of two factors which can be multiplied together to equal 31.

List of all possible Factor Pairs of 31:

  • 1 × 31 = 31

How to find the Factors of 31

Divide 31 by every whole number from 1 up to 5. Each division without a remainder gives a factor and its pair. There is no point going further: 6 × 6 = 36 is already greater than 31, so any larger divisor would pair with a smaller one you have already checked.

  • 31 ÷ 1 = 31 — factors 1 and 31
  • 31 ÷ 2 — remainder 1, not a factor
  • 31 ÷ 3 — remainder 1, not a factor
  • 31 ÷ 4 — remainder 3, not a factor
  • 31 ÷ 5 — remainder 1, not a factor

Why 31 has exactly 2 factors

31 is a prime number: nothing divides it evenly except 1 and itself. That is the whole reason it has exactly two factors — a prime has no others, however large it is.

Step-by-step factorization: Prime factors of 31.

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 31? (The answer is: 1, 31). Pick the number (e.g. '31'). 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
161, 2, 4, 8, 16
171, 17
181, 2, 3, 6, 9, 18
191, 19
201, 2, 4, 5, 10, 20
211, 3, 7, 21
221, 2, 11, 22
231, 23
241, 2, 3, 4, 6, 8, 12, 24
251, 5, 25
261, 2, 13, 26
271, 3, 9, 27
281, 2, 4, 7, 14, 28
291, 29
301, 2, 3, 5, 6, 10, 15, 30
311, 31
321, 2, 4, 8, 16, 32
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

FAQ

What are the Factors of 31?

Factors of 31: 1, 31

How many factors does 31 have?

Number 31 has 2 factors

How many Factor Pairs does 31 have?

Number 31 has 1 factor pair