Factors of 40

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40 itself. These numbers can be multiplied together in a defined pair to yield the number 40 or divide the 40 individually without leaving any remainder. When a number is factorized, it is expressed as the product of its factors. In the case of 40, this might be 2 × 20. When a number is expressed using the Division Method, it is expressed into a division pattern; in this case, it could be 40 ÷ 2 = 20.

In this article, we will learn in detail about factors of 40 and how to find them.

What are Factors of 40?

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40. There are a total of 8 factors of 40. These factors are paired together in certain pairs to get the original number 40 as a product. These numbers can divide the number 40, without leaving any remainder. In such a case where 40 is perfectly divided by any integer, then both the divisor and quotient are the factors of 40.

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Factors of 40 Calculator

Try out the following calculator to calculate the factors of 40

All Factors of 40

Factors of 40 are all the numbers that can evenly divide 40 without leaving a remainder.

All the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

How to Find Factors of 40?

To find the Factors of 40 there are various methods such as Division Method or multiplication method. We will discuss both of these methods in detail that are given below:

Factors of 40 Using Multiplication Method

Let’s obtain the factors of 40 by Multiplication Method with a solved example:

• 1 × 40 = 40
• 2 × 20 = 40
• 4 × 10 = 40

Factors of 40 Using Division Method

Let’s obtain the factors of 40 by Division Method with a solved example:

• 40 ÷ 1 = 40
• 40 ÷ 2 = 20
• 40 ÷ 4 = 10

Hence, Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

Prime Factorization of 40

Prime Factorization of a number is a way of representing the number in the form of the product of its prime factors. In the case of 40, its prime factorization is given as,

40 = 2 × 2 × 2 × 5 = 2³ × 5

Prime Factors of 40

To get the prime factor of 40, we must divide 40 by each prime number until there is only one left. So, let’s see the prime factors of 40 in the following steps:

• Here, start with the number 40.
• Then divide, 40 by the smallest prime factor by 2 which gives 20.
• After that, 2 will remain the same because that’s a prime number, and then 20 distributed into two factors 2 and 10.
• Again 2 will remain as it is, and 10 distributed into 2 and 5.

So, therefore the Prime factors of 40 = 2 × 2 × 2 × 5 = 2³ × 5

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Factor Tree of 40

Let’s see the factor tree of 40, and how it begins.

• Let’s start with the number 40.
• After that, Find two numbers that multiply to give 40. In this situation 4 and 10 will give 4 × 10 = 40.
• Now, let’s break down both the factors of 40, (4 and 10).
  4 = 2 × 2
  10 = 2 × 5
• At last, combining both factors of 4 and 10, we get the factors of 40, that are 40 = 2 × 2 × 2 × 5.

So, the factor tree of 40 = 2 × 2 × 2 × 5.

Factors of 40 in Pairs

The numbers that multiply together to get the original number 40 are the pair factors of 40. Either positive or negative pairs are included in the pair factors of 40. So, let’s see the pairs of original numbers that are given below;

Positive Factor Pairs of 40

Below are the positive factor pairs of 40.

Positive Factor Pairs	Product
(1, 40)	1 × 40 = 40
(2, 20)	2 × 20 = 40
(4, 10)	4 × 10 = 40
(5, 8)	5 × 8 = 40

Negative Factor Pairs of 40

Below are the negative factor pairs of 40.

Negative Factor Pairs	Product
(-1, -40)	-1 × -40 = 40
(-2, -20)	-2 × -20 = 40
(-4, -10)	-4 × -10 = 40
(-5, -8)	-5 × -8 = 40

Factors of 40 Solved Examples

Some examples on Factors of 40 are,

Example 1: Find the Sum of all the Factors of 40.

Solution:

Let’s find sum of all factors of 40, Therefore the factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

So, sum of these factors are 1 + 2 + 4 + 5 + 8 + 10 + 20 + 40 = 90.

So, Total sum of factors of 40 is 90.

Example 2: List the common factors between 30, and 40.

Solution:

The common factor of given numbers 30 and 40 are given below;

30 = 1, 2, 3, 5, 6, 10, 15, 30

40 = 1, 2, 4, 5, 8, 10, 20, 40

Therefore, the common factors between 30 and 40 are 1, 2, 5, 10.

Example 3: Radha brought a biscuit to the tuition and distributed it into 4 packets. How will she divide the biscuits equally among the 40 children?

Solution:

Numbers of Packets = 4

Numbers of Children = 40

Number of Packets ÷ No. of Childrens’

= 40 ÷ 4 = 10

Therefore, Radha will distribute 10 biscuits to each child.

Example 4: Find the common factors of 8 and 40.

Solution:

Factors of given numbers 8 and 40 are given below;

8 = 1, 2, 4, 8

40 = 1, 2, 4, 5, 8, 10, 20, 40

Therefore, the common factors between 8 and 40 are 1, 2, 4, and 8.

Factors of 40 Practice Questions

Various Practice Questions Factor of 40 are,

Q1. Are 7 and 8 factors of 40?

Q2. How many factors does 40 have?

Q3. List the common factors of 40 and 60.

Q4. Is 15 a factor of 40?

Q5. Determine whether 3 is a factor of 40.

Factors of 40 Frequently Asked Questions

What are Factors of 40?

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

What are Pair Factors of 40?

Pair factors of 40 are (1, 40), (2, 20), (4, 10), and (5, 8).

What are Prime Factors of 40?

Prime Factors of 40 are 2 and 5

What are some Common Factors of 10 and 40?

Common Factors of 30 and 40 are 1, 2, 5, and 10.

List First Five Multiples of 40.

First five multiples of 40 are;

1. 40 × 1 = 40
2. 40 × 2 = 80
3. 40 × 3 = 120
4. 40 × 4 = 160
5. 40 × 5 = 200

So, the first five multiples of 40 are 40, 80,120,160 and 200.

Is 4 a Factor of 40?

Yes, 4 is a factor of 40.

What are Common Factors of 20 and 40?

Common factors of 20 and 40 are 1, 2, 4, 5, 10, and 20.

What is the Sum of Factors of 40?

The sum of factors of 40 is 90