158 LearnersLast updated on May 26th, 2025
Factors of 127
Factors are the ‘building blocks’ of a number. They are the numbers that can be multiplied together to reach the number you started with. 127 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 127?
Factors are whole numbers that, when multiplied, the product is equal to 127.
127 is a prime number, its only factors are 1 and 127. For every factor, there is a corresponding negative factor, for 127, the negative factors -1, -127.
How to find the factors of 127?
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 127.
Step 2: All the pairs found represent the factors of 127.
127 is a prime number. The only pair of numbers whose product is 127 is 1×127=127.
The factors of 127 are 1 and 127 only.
Finding Factors by Division Method
Step 1: Start by dividing 127 with the smallest number, and check the remainders.
Step 2: 127 is prime, therefore the only divisors it has are 1 and 127. Any number that is further checked for divisibility leaves behind a remainder.
The factors of 127 are 1 and 127 only.
Prime factors and prime factorization
— 127 is a prime number.
— The prime factorization of 127 is 127.
— Factors of 127 are 1,127
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 127, only one branch will be extended, as there are no other factors of the number.
Common mistakes and how to avoid them in factors of 127
We all make mistakes when it comes to finding factors, especially when it comes to numbers like 127. Don’t worry, it is a part of learning. Here are a few common slip-ups we may make, along with tips to avoid them.
Mistake 1
Excluding negative factors
Every positive factor has a corresponding negative factor. Often times, the negative factors are not included.
Factors of 127 Examples
Problem 1
Is 7 a factor of 127?
To check if 7 is a factor, divide 127 by 7.
127÷7=18.142857127, which is not a whole number.
Therefore, 7 is not a factor of 127.
Explanation
A factor of a number divides evenly into it, without any decimal or remainder. Since 7 does not divide evenly into 127, it is not a factor.
Problem 2
If a number has only two factors, 1 and itself, and is close to 130, what could the number be?
A number with only two factors, 1 and itself, is a prime number.
Since 127 is close to 130, and we already know it is prime, the number must be 127.
Explanation
By identifying prime numbers close to 130, we can easily conclude that 127 fits the description of having only two factors.
Problem 3
What is the product of all factors of 127?
The factors of 127 are 1 and 127.
Therefore, the product of the factors of 127 is 127.
Explanation
Since 127 is a prime number, multiplying its only factors, 1 and 127, gives the original number itself. This is a property of prime numbers.
FAQs on Factors of 127
1.What could be the GCF of 127?
2. Is 127 divisible by 3?
3. What is the number name of 127?
4.Is the cube root of 127 rational?
5.Find the sum of the first 5 multiples of 127.
Important Glossaries for Factors of 127
- 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.
