Factors of 16

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Factors of

What are the Factors of 16?

Answer

Factors of 16:
1, 2, 4, 8, 16

(number 16 has 5 factors)

Factor Pairs of 16

A Factor Pair of number 16 is a combination of two factors which can be multiplied together to equal 16.

List of all possible Factor Pairs of 16:

  • 1 × 16 = 16
  • 2 × 8 = 16
  • 4 × 4 = 16

How to find the Factors of 16

Divide 16 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 16, so any larger divisor would pair with a smaller one you have already checked.

  • 16 ÷ 1 = 16 — factors 1 and 16
  • 16 ÷ 2 = 8 — factors 2 and 8
  • 16 ÷ 3 — remainder 1, not a factor
  • 16 ÷ 4 = 4 — factor 4, paired with itself

Why 16 has exactly 5 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.

16 = 24

(4 + 1) = 5

Step-by-step factorization: Prime factors of 16.

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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 16? (The answer is: 1, 2, 4, 8, 16). Pick the number (e.g. '16'). 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
11
21, 2
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

FAQ

What are the Factors of 16?

Factors of 16: 1, 2, 4, 8, 16

How many factors does 16 have?

Number 16 has 5 factors

How many Factor Pairs does 16 have?

Number 16 has 3 factor pairs

See Also