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Factors

Factors of 80 | Prime Factors of 80 | Factor Tree of 80 and Solved Examples

Written by Prerit Jain

Updated on: 12 Aug 2023

Contents

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Factors of 80 | Prime Factors of 80 | Factor Tree of 80 and Solved Examples

Factors of 80 | Prime Factors of 80 | Factor Tree of 80 and Solved Examples

Factors of 80 are the numbers that divide the number 80 without leaving any remainder. In this article, let us understand how to find factors of 80 using the division method; what are the factors and prime factors of 80; and factor tree of 80 with solved examples. Scroll down to find out more.

What Are the Factors of 80?

The number 80 has 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80 as factors. Unlike the other numbers, 80 is a composite number. If the given number is composite, then it has more than two factors, apart from one and the number itself. The number 80 has both positive and negative factors, and they are:

Positive Factors of 80Negative Factors of 80
1-1
2-2
4-4
5-5
8-8
10-10
16-16
20-20
40-40
80-80

Factors of 80 in Pairs

As we said, factors can be negative or positive, and the same goes for pairs as well. Pair factors of 80 are the numbers that, when multiplied in pairs, will give the result of 80.

Positive Pair Factors of 80

The positive 80 pair factors are (1, 80), (2, 40), (4, 20), (5, 16), and (8, 10).

Positive Pair Factors of 80

Negative Pair Factor of 80

The negative 80 pair factors are (-1, -80), (-2, -40), (-4, -20), (-5, -16), and (-8, -10).

Negative Pair Factors of 80

How To Find Factors of 80 by Division Method?

To find factors of 80, we need to divide the number 80 by the sequence of the natural numbers to 80. The numbers which give the remainder are not factors of 80. Those numbers which don’t leave any remainder are the numbers known as factors of 80. The detailed steps to find the 80 factors by the division method are given below:

  • 80÷1 = 80 (Remainder = 0)
  • 80÷2 = 40 (Remainder = 0)
  • 80÷4 = 20 (Remainder = 1)
  • 80÷5 = 16 (Remainder = 2)
  • 80÷8 = 10 (Remainder = 0)
  • 80÷10 = 8 (Remainder = 0)
  • 80÷16 = 5 (Remainder = 0)
  • 80÷20 = 4 (Remainder = 0)
  • 80÷40 = 2 (Remainder = 0)
  • 80÷80 = 1 (Remainder = 0)

Hence from the above division, it is clear that the numbers 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80 don’t leave any remainder. Hence the 80 factors are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.

Prime Factorization of 80

Another Method to Find Factors of 10

  • Step 1: Write the number 80 and any two numbers that, when multiplied together, give the result of 80.
  • Step 2: Using the pair factors, we are choosing 1 and 80 because 1 x 80 = 80.
  • Step 3: The number 1 is a prime number, so it doesn’t have any factors except for the number 1.
  • Step 4: Since 80 is a composite number, we can write the multiples of 80, which when multiplied gives 80. Hence, the multiples of 80 which we have chosen here are 5 and 16.
  • Step 5: Since 5 is a prime number, we can’t separate it, but 16 is a composite number, so we can write it as 2 x 2 x 2 x 2.

Since we cannot factorise the prime numbers anymore, 2 x 2 x 2 x 2 X 5 = 80.

In conclusion, 2 X 2 X 2 X 2 X 5 or 24 X 5 is the prime factorization of 80.

Find the Factor Tree of 80

The steps to find a factor tree of 80 are given below:

  • Step 1: Firstly, write the number 80 at the top of the factor tree.
  • Step 2: Now, as a part of the tree’s branches, write down the pair factor of 80. The pair factor we have used here is 2 and 40.
  • Step 3: Since 2 is a prime number, we cannot separate it anymore.
  • Step 4: Now, as 40 is a composite number, we can split it into 2 and 20.
  • Step 5: Again, we cannot split 2, but we can do the same with 20 and it is divided into 2 and 5.
  • Step 6: Since both 2 and 5 are prime numbers, we just circle all the prime numbers we have found and that’s it.

Circling all the branches gives us factors 2, 2, 2, 2, and 5. Therefore, the prime factors of 80 using a factor tree are 2 X 2 X 2 X 2 X 5 = 80.

Factor tree of 80

Solved Examples on Factors of 80

A few solved examples on factors of 80 are given below:

What is the Sum of all the Factors of 80?
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
Therefore, adding all the factors of 80 =1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 40 + 80 = 106.
Hence 106 is the sum of factors of 80.

What are the factors and prime factors 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.

What’s the highest common factor of 10 and 80?
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Hence, from the above, the common factors of 10 and 30 are 1, 2, 5, and 10.
The highest common factor between 10 and 80 is 10.

What’s the highest common factor of 60 and 80?
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80.
From the above, the common factors of 60 and 80 are 1, 2, 4, 5, 10, and 20.
The highest common factor of 60 and 80 is 20.

FAQs on Factors of 80

List all the factors of 80
1, 2, 4, 5, 8, 10, 16, 20, 40, and 80 are the 80 factors.

What are the composite factors of 10?
8, 10, 16, 20, 40, and 80 are the composite 80 factors.

What are the factors of 80 in pairs?
(1, 80), (2, 40), (4, 20), (5, 16), and (8, 10) are the pairs of 80 factors.

What are the positive factors of 80?
1, 2, 4, 5, 8, 10, 16, 20, 40, and 80 are the positive 80 factors.

Is 40 a factor of 80?
Yes, 40 is a factor of 80.
As 2 X 40 = 80

Is 6 a factor of 80?
No, 6 is not a factor of 80.

That is all about factors of 80, its factorization, factor tree, and many other things. We hope you have learned a lot and it has been super helpful for you. If you still have unanswered questions, just drop them in the comment section and we will get back to you with an answer and explanation.

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