Last updated on May 26th, 2025
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
Factors are the numbers that help us divide things equally. Let’s learn about the Factors of 158 which are 1,2,79 and 158. The number has both positive and negative integers that divide 158 without leaving any remainder.
Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
In this method, we find pairs of numbers, which we multiply to get the desired number.
For example: Here are the factors of 158 by multiplication method:
1x158=158
2x79=158
79x2=158
158x1=158
Above given are all the factors of 158.
We divide 158 by numbers starting from 1 and see which number gives the remainder of 0.
158 1=158
158 2=79
158 79=2
158 158=1
So the factors are 1,2,79 and 158.
We write the number as the product of prime factors. The factors of 158 are:
158=2x79
A factor tree shows how a number can be parted down into prime factors.158 is broken down into two factors, 2 and 79.
A number should have both positive and negative factors:
Positive :(1,2,79,158)
Negative:(-1,-2,-79,-158)
While learning about factors of 158, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Write the prime Factorization of 158
Divide 158 by the smallest prime number, 2:
158÷2=79.
Next, check if 79 is a prime number:
79 is not divisible by any prime number except itself.
Prime Factorization: 2×79.
Prime factorization breaks down 158 into its prime components, resulting in 2×79.
Solve for the sum of all positive factors of 158.
Sum of the factors: 1+2+79+158=240, we add all the factors of 158.
List the factors of 158:
Factors: 1,2,79,158
Add all the factors:
1+2+79+158=240
Find the GCF of 158 and 316.
The largest factor common to both numbers is 158.
Factors of 158: 1,2,79,158
Factors of 316: 1,2,4,79,158,316
GCF = 158
158 is the largest common factor of 158 and 316.