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 without any leftovers. The number has both positive and negative integers that divide 141 without leaving any remainder. 1,3,47, and 141 are the factors of 141.
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example:
2×47=141
1×141=141, which means that 1,3,47, and 141 are the factors of 141.
We divide 141 by numbers starting from 1 and see which number gives the remainder of 0.
141 1=141
141 3=47
141 47=3
141 141=1
So the factors are 1,3,47 and 141.
The breaking down of numbers as prime factors is called prime factorization. The factors of 141 are:
141=3 × 47
A factor tree shows how a number can be parted down into prime factors.141 is broken down into two factors, 3 and 47.
A number should have both positive and negative factors:
Positive :( 1,3,47,141)
Negative:(- 1,-3,-47,-141)
While learning about factors of 141, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Calculate the sum of all positive factors of 141.
List of the Factors: As determined, the factors are 1, 3, 47, and 141.
Sum the Factors:
Sum=1+3+47+141=192
Hence, the sum of the factors of 141 is 192.
When we add the factors of 141, we get 192 as the total.
Add the squares of the factors of 141.
List the factors of 141: 1,3,47,141
Then square them and find the sum,
Some factors: 1+32+472+1412=22000
We add all the square factors of 141.
When we square the factors of 141 and then add them, we get 22000.
Find the GCF of 141 and 213.
Factors of 141: 1,3,47,141
Factors of 213: 1,3,71,213
GCF = 3
The largest factor common to both numbers is 3.