269 LearnersLast updated on May 26th, 2025
Factors of 147
A number which divides another number exactly without leaving any remainder is called a factor of the given number. Factors play an important role in many real-life situations. They are useful in deciding the best time to schedule work shifts and events.
What are the Factors of 147?
Factors often come in pairs. There are several methods to figure them out, which you'll be learning about in a second. For now let's just focus on the factors of 147, which are mentioned below:
Negative factors of 147: -1, -3, -7, -21, -49, -147
Prime factors of 147: 3, and 7
Prime factorization of 147: 31 × 72
The sum of factors of 147: 1 + 3 + 7 + 21 + 49 + 147 = 228
How To Find The Factors of 147?
For finding factors, school kids use different methods for easy calculation. A few commonly used methods are as follows:
- Use of Multiplication Method
- Use of Division Method
- Use of Prime Factors and Prime Factorization.
So, here we discuss a detailed explanation of the following methods:
Finding Factors Using Multiplication Method
In the multiplication method, we will try to find out the numbers that multiply together to give the value, 147. We will check the factors step by step:
Step 1: Find pairs of numbers that when multiplied gives 147.
Start with 1, and continue to multiply with other numbers.
1 × 147 = 147
3 × 49 = 147
7 × 21 = 147
Step 2: After the calculation, we get to these numbers, the factors of 147.
Step 3: The positive factor pairs of 147 found through multiplication are(1, 147), (3, 49), and (7,21)
Step 4: The negative factor pairs of 147 are (-1, -147), (-3, -49), and (-7,-21)
Finding Factors Using Division Method
Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 147:
Step 1: Divide 147 by smaller numbers and see if there is any remainder. E.g., 147/1 = 147.
Step 2: We will continue in the same way and check for other numbers as well. For 147, the factors are 1, 3, 7, 21, 49, and 147. Because 147 can be divided evenly by these numbers.
Prime Factors and Prime Factorization
The prime factors of 147 are 3 and 7. The prime factors can be found using the methods given below:
- Prime Factorization
- Factor Tree
By Using Prime Factorization: It is a method in which we break down a number into its prime factors.
2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.
147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
The prime factorization of 147 is :
147 = 31 × 72
With prime factorization, 147 can be broken down into prime factors, 3 and 7.
Factor Tree
A factor tree is a graphical representation of breaking a composite number into its prime factors. It is an easy method to find out the factors of any number.
Step 1: 147 divided by 3 gives us the answer 49.
Step 2: Since 49 is not a prime number, it can be divided further.
The prime factorization of 147 is written below :
147 = 31 × 72
Factor Pairs
Every number has either a positive or negative factor. Let us look at those sets of factors.
Positive pair Factors: (1, 147), (3, 49), (7, 21)
Negative pair Factors: (-1, -147), (-3, -49), (-7, -21)
Common Mistakes and How to Avoid Them in Factors Of 147
Children tend to make mistakes while finding the factors of a number. Let us look at how to avoid those mistakes.
Mistake 1
Confusing Factors with Multiples
The factors of a number can divide the given number without any remainder, whereas multiples are the products of multiplying the number by an integer. For example for 12, the factors are 1, 2, 3, 4, 6, and 12. And the multiples are 12, 24, and 36, etc… To avoid this confusion, always understand the concept separately.
Factors Of 147 Examples
Problem 1
What is the GCF of 147 and 105?
The GCF of 147 and 105 is 21
Explanation
The easiest way to find the greatest common factor is to list the factors of both numbers (factors 147 and 105), and then find the greatest common factor of the list. Which is 21.
Problem 2
A shopkeeper has 147 candies. He wants to divide them equally among 7 children. How many candies will each child get?
21 candies
Explanation
Each child will get 21 candies, without any left. Here, the number 147 is divided by 7, and we get the whole number 21.
Problem 3
What is the LCM of 147 and 21?
The LCM of 147 and 21 is 147
Explanation
The least common multiple means, the smallest common multiple of both lists. Here the LCM of 147 and 21 is 147.
Factors of 147: 1, 3, 7, 21, 49, 147
Factors of 21: 1, 3, 7, 21
FAQs on Factors of 147
1.What two numbers are multiplied together to get 147?
2.How is 147 prime factorized?
3.Can 147 be divided evenly by 5?
4.Is 147 a perfect square?
5.What are the multiples of 147?
6.How can children in Saudi Arabia use numbers in everyday life to understand Factors of 147?
7.What are some fun ways kids in Saudi Arabia can practice Factors of 147 with numbers?
8.What role do numbers and Factors of 147 play in helping children in Saudi Arabia develop problem-solving skills?
9.How can families in Saudi Arabia create number-rich environments to improve Factors of 147 skills?
Important Glossaries For Factors Of 147
- Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.
- Prime Factors: Prime factors of a number are a set of prime numbers that multiply together to give the original number. For 147, the prime factors are 3 and 7.
- Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).
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About BrightChamps in Saudi Arabia
Hiralee Lalitkumar Makwana
About the Author
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
Fun Fact
: She loves to read number jokes and games.
