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Factors of 16

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Answer:
The 5 factors of 16 are:

1, 2, 4, 8, 16
The factor pairs of 16 are:

1 × 16 = 16
2 × 8 = 16
4 × 4 = 16


The prime factorization is:
16 = 2 x 2 x 2 x 2

16 is both a perfect square of 4, and a perfect fourth power 24, making it special in binary systems. It has exactly 5 factors.

All Factors

The factors of 16 are:  1, 2, 4, 8, 16

The prime factorization is: 16 = 2 x 2 x 2 x 2

Factoring of 16 Using Trial Division

Find the Factors of 16 :

  • Calculate the square root of 16 which is 4, and round it down to the closest whole number, 4, and use it in the next step.
  • Test the integer values 1 through 4 for division into 16 where the remainder equals 0.
  • We find 5 factors where the remainder of division is 0 and they are: 1, 2, 4, 8, 16.

Factor Pairs

1 × 16 = 16
2 × 8 = 16
4 × 4 = 16

The factor pairs (multiples) that equal 16 when multiplied together are: (1 and 16), (2 and 8), (4 and 4), which we found by matching up all factors of 16 which are: 1, 2, 4, 8, 16.

Is 16 Prime or Composite?

16 is a composite number. Since it has more than two factors, we know that 16 is not prime, it is composite. Prime numbers only have two factors. They are evenly divisible by only 1 and itself.

Is 16 a Perfect Square?

Yes! Since the square root of 16 is an integer, 4, this tells us that 16 is a perfect square. It is a perfect square of 4 because 4 multiplied by itself or 4² equals 16.

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Furey, Edward "Factors of 16 | Factorization Calculator" at https://www.calculatorsoup.com/calculators/math/factors.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Last updated: October 28, 2025