Factors of 80

Factors of 80 are numbers that completely divide 80 without leaving a remainder. Thus the factors of 80 are the divisors of 80. In this post, we will learn about the factors of 80 and the prime factors of 80.

  • 80 = 2×2×2×2×5 =24×51 is the prime factorization of 80.
  • The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
  • The prime factors of 80 are 2 and 5.
  • Negative factors of 80 are –1, -2, -4, -5, -8, -10, -16, -20, -40 and –80.

What are the factors of 80?

Let us write the number 80 multiplicatively in all possible ways. We definitely have:

80 = 1×80 

80 = 2×40

80 = 4×20

80 = 5×16

80 = 8×10

Note that there are no other ways we can write 80 multiplicatively. So the factors of 80 in pairs are given as follows:

80 = a×b Factors in Pairs (a,b)
80 = 1×80  (1, 80)
80 = 2×40 (2, 40)
80 = 4×20 (4, 20)
80 = 5×16 (5, 16)
80 = 8×10 (8, 10)

Thus the pair factors of 80 are (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10). As all the numbers appearing in pair factors are the factors of 80, we conclude that the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

Number of factors of 80

From above we have calculated the factors of 80 which are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

Thus the total number of factors of 80 is ten.

Prime Factors of 80

Note that the factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. Among those factors, we observe that only 2 and 5 are prime numbers as they do not have any proper divisors.

∴ the prime factors of 80 are 2 and 5.

Question: What are the factors of 80?

Video Solution:

How to find factors of 80?

Now we will determine the factors of 80 by division method. In this method, we will try to find the numbers that can divide 80 with no remainder. See that

80/1=80 and the remainder is 0.

1 and 80 are factors of 80.

80/2=40 and the remainder is 0.

2 and 40 are factors of 80.

80/4=20 and the remainder is 0.

4 and 20 are factors of 80.

80/5=16 and the remainder is 0.

5 and 16 are factors of 80.

80/8=10 and the remainder is 0.

8 and 10 are factors of 80.

Note that no numbers other than the numbers in violet color can divide 80. So the numbers in violet color, that is, 1, 2, 4, 5, 8, 10, 20, 40, and 80 are the complete list of factors of 80.

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