Factors of 45

Factors of 45 are 1, 3, 5, 9, 15, and 45 itself. These numbers can be used to divide and multiply in pairs to co-relate with the number 45. So, Let’s illustrate the examples by the multiplication method of two pairs bound together to get 45. i.e. 3 × 15 = 45, and by the division method one integer will be divided by 45 ÷ 3 = 15.

In this article, we will learn all the factors of 45 and how to find them in detail.

What are Factors of 45?

45 has 6 factors that are 1, 3, 5, 9, 15, and 45. The factors of 45 are those integers that, when divided by 45, yield a natural number as a remainder. Now let’s look at the various numbers together paired to generate 45.

• 1 × 45 = 45
• 3 × 15 = 45
• 5 × 9 = 45

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Factors of 45 Calculator

Try out the following calculator to find out the factors of 45

All Factors of 45

The complete list of factors of 45 is as follows:

Factors of 45 are 1, 3, 5, 9, 15, and 45.

Prime Factorization of 45

The method of expressing 45 as a product of its prime factors is known as prime factorization. The prime factorization of 45 is therefore based on a situation in which the number 45 can be written as the product of 3 and 5.

Therefore prime factorization of 45 is;

45 = 3 × 3 × 5

So, the prime factors of 45 are 3² × 5. The prime factorization of 45 is shown below:

Prime Factors of 45

Let’s see the prime factors of 45, in the following steps;

• Let’s start with the number 45.
• First, with the smallest prime number 3, 45 is distributed into two factors 3 and 15.
• After that, continuing factorization of 15 into 3 and 5.
• At last, combining all factors of 45 we get 3 × 3 × 5 or 3² × 5

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How to Find Factors of 45?

You can use any method listed below to determine the factors of 45;

Factors of 45 by Division Method

To get the factors of 45, we divide the given numbers into pairs such that the product of the two numbers is 45. In order to accomplish this, divide the smallest number and continue it till you get 1. Thus, the following factor pairs are given below;

• 45 ÷ 3 = 15
• 15 ÷ 3 = 5
• 5 ÷ 5 = 1

So at last, we get the quotient as 1, and the factors of 45 are 1, 3, 5, 15, 45.

Factors of 45 by Multiplication Method

By using the multiplication method, one can find the factors of 45 by finding pairs of numbers that, when multiplied together, equal 45. Let’s start with the pairs in order to obtain 45;

• 1 × 45 = 45
• 3 × 15 = 45
• 5 × 9 = 45

Therefore, 1, 3, 5, 9, 15, and 45 are the factors of 45 that were acquired by the multiplication method.

Factor Tree of 45

Factor tree of 45, will be expressed as the product of prime factors;

• Let’s begin with the number 45
• After that, 45 should be distributed in two factors 9 and 5.
• Then, 9 will be distributed into two factors 3 and 3, and 5 will stay the same because of the prime number.

So, finally we get the factor tree of 45, and the prime factors are 3 × 3 × 5.

Factor of 45 in Pairs

Factor pairs are sets of numbers that are multiplied together to get the result in a specific product. Now, let’s investigate the 45 factor pairs. Factor pairs come in two varieties: positive and negative which are given below;

Positive Factor Pair of 45

When two positive numbers are multiplied together to get the product in positive.

Product of Factors	Positive Factor Pairs
1 × 45 = 45	(1, 45)
3 × 15 = 45	(3, 15)
5 × 9 = 45	(5, 9)

Negative Factor Pair of 45

When two negative numbers are multiplied together to get the product in positive.

Product of Factors	Negative Factor Pairs
-1 × -45 = 45	(-1, -45)
-3 × -15 = 45	(-3, -15)
-5 × -9 = 45	(-5, -9)

Factors of 45 Solved Examples

Various examples on factors of 45 are,

Example 1: Find out the sum of factors of 45.

Solution:

Factors of 45 are 1, 3, 5, 9, 15 and 45

Sum of Factors = 1 + 3 + 5 + 9 + 15 + 45 = 78

Example 2: Find the common factors of 45 and 60.

Solution:

Let’s find the common factors of both the numbers 45 and 60.

Factors of 45: 1, 3, 5, 9, 15, 45

Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

So, the common factors of 45 and 60 are are 1, 3, 5, and 15.

Example 3: Find the Sum of the prime factors of 45.

Solution:

The prime factors of 45 is 3 and 5. So, let’s find the sum of prime factors of 45:

3 + 5 = 8

So, the sum of the prime factors of 45 is 8

Example 4: Express 45 as the product of its prime factors.

Solution:

We can write 45 as product of prime factors as given below:

3 × 3 × 5 = 45.

Factors of 45 Practice Questions

Practice Questions on Factors on 45 are,

Q1: Is 3 a factor of 45?

Q2: What is the Smallest factor of 45?

Q3: What are the Negative pair factors of 45?

Q4: Is 45 a composite number?

Factors of 45 Frequently Asked Questions

What is Factors of 45?

The factors of 45 are 1, 3, 5, 9, 15, and 45.

Is 4 a Factor of 45?

No, 4 is not a factor of 45.

What are Prime Factors of 45?

Prime factors of 45 is 3² × 5.

What are Positive Pair Factors of 45?

Positive pair factors of 45 are (1, 45), (3, 15), and (5, 9).

What are Common Factors of 45 and 18?

Common factors of 45 and 18 are 1 and 3.

What are Common Factors of 45 and 30?

Common Factors of 45 and 30 are 1, 3, 5

What are Common Factors of 45 and 60?

Common Factors of 45 and 60 are 1, 3, 5, and 15.

What are Common Factors of 45 and 75?

Common Factors of 15 and 75 are 1, 3, 5, and 15.