Factors of 18

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Factors of

What are the Factors of 18?

Answer

Factors of 18:
1, 2, 3, 6, 9, 18

(number 18 has 6 factors)

Factor Pairs of 18

A Factor Pair of number 18 is a combination of two factors which can be multiplied together to equal 18.

List of all possible Factor Pairs of 18:

  • 1 × 18 = 18
  • 2 × 9 = 18
  • 3 × 6 = 18

How to find the Factors of 18

Divide 18 by every whole number from 1 up to 4. Each division without a remainder gives a factor and its pair. There is no point going further: 5 × 5 = 25 is already greater than 18, so any larger divisor would pair with a smaller one you have already checked.

  • 18 ÷ 1 = 18 — factors 1 and 18
  • 18 ÷ 2 = 9 — factors 2 and 9
  • 18 ÷ 3 = 6 — factors 3 and 6
  • 18 ÷ 4 — remainder 2, not a factor

Why 18 has exactly 6 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.

18 = 2 × 32

(1 + 1) × (2 + 1) = 6

Step-by-step factorization: Prime factors of 18.

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 18? (The answer is: 1, 2, 3, 6, 9, 18). Pick the number (e.g. '18'). 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
31, 3
41, 2, 4
51, 5
61, 2, 3, 6
71, 7
81, 2, 4, 8
91, 3, 9
101, 2, 5, 10
111, 11
121, 2, 3, 4, 6, 12
131, 13
141, 2, 7, 14
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

FAQ

What are the Factors of 18?

Factors of 18: 1, 2, 3, 6, 9, 18

How many factors does 18 have?

Number 18 has 6 factors

How many Factor Pairs does 18 have?

Number 18 has 3 factor pairs