Factors of 30

"Factors of a Number" Calculator
Factors of

What are the Factors of 30?

Answer

Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30

(number 30 has 8 factors)

Factor Pairs of 30

A Factor Pair of number 30 is a combination of two factors which can be multiplied together to equal 30.

List of all possible Factor Pairs of 30:

  • 1 × 30 = 30
  • 2 × 15 = 30
  • 3 × 10 = 30
  • 5 × 6 = 30

How to find the Factors of 30

Divide 30 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 30, so any larger divisor would pair with a smaller one you have already checked.

  • 30 ÷ 1 = 30 — factors 1 and 30
  • 30 ÷ 2 = 15 — factors 2 and 15
  • 30 ÷ 3 = 10 — factors 3 and 10
  • 30 ÷ 4 — remainder 2, not a factor
  • 30 ÷ 5 = 6 — factors 5 and 6

Why 30 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.

30 = 2 × 3 × 5

(1 + 1) × (1 + 1) × (1 + 1) = 8

Step-by-step factorization: Prime factors of 30.

Related Calculations

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 30? (The answer is: 1, 2, 3, 5, 6, 10, 15, 30). Pick the number (e.g. '30'). 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
151, 3, 5, 15
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

FAQ

What are the Factors of 30?

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

How many factors does 30 have?

Number 30 has 8 factors

How many Factor Pairs does 30 have?

Number 30 has 4 factor pairs

See Also