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164 LearnersLast updated on December 9th, 2024
Factors of 137
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 137 is an interesting number. It is large enough to make you think, but simple enough to learn if you know a few tricks. Let’s dive into it!
What are the factors of 137?
Factors are whole numbers that, when multiplied, the product is equal to 137.
137 is a prime number, its only factors are 1 and 137. For every factor, there is a corresponding negative factor, for 137, the negative factors -1, -137.
How to find the factors of 137?
There are various methods we apply to find the factors of any number. Few of them are listed here; multiplication method, division method, prime factors and prime factorization and factor tree method. These are explained in detail below, let’s learn !
Finding Factors Using Multiplication
Step 1: Find all pairs of numbers whose product is 137.
Step 2: All the pairs found represent the factors of 137.
137 is a prime number. The only pair of numbers whose product is 137 is 1×137=137.
The factors of 137 are 1 and 137 only.
Finding Factors by Division Method
Step 1: Start by dividing 137 with the smallest number, and check the remainders.
Step 2: 137 is prime, therefore the only divisors it has are 1 and 137. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 137 are 1 and 137 only.
Prime factors and prime factorization
— 137 is a prime number.
— The prime factorization of 137 is 137.
— Factors of 137 are 1,137
Factor tree
— In this method, we make branches that extend from the number to express a number as the product of its factors.
— In case of 137, only one branch will be extended, as there are no other factors of the number
Common mistakes and how to avoid them in the factors of 137
Factors of 137 Examples
Problem 1
Is 137 divisible by 4?
Explanation
Problem 2
Verify if any number multiplied by itself results in 137.
Explanation
Problem 3
Can 137 be written as the sum of two factors?
Explanation
FAQs on Factors of 137
1.Why is the number 137 special?
2.What are the multiples of 137?
3.What is the magic number 137?
4.What three numbers add up to 137?
5.What is the number name of 137?
Important Glossaries for Factors of 137
- Factors: numbers that divide the given number without leaving a remainder.
- Prime factorization: breaking numbers down into their prime factors.
- Prime factors: Prime numbers that multiply together to form a given number.
- Composite number: Number that has at least more than one divisor other than 1 and the number itself.
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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.
