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361 LearnersLast updated on December 11, 2025

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:
3×67=201
1×201=201
This means that 1,3,67, and 201 are the factors of 201.


We divide 201 by numbers starting from 1 and see which number gives the remainder of 0.
201 ÷1=201
201 ÷ 3=67
201 ÷67=3
201 ÷201=1
So the factors are 1,3,67 and 201
The breaking down of numbers as prime factors is called prime factorization. The factors of 201 are:
201=3x67
A factor tree shows how a number can be parted down into prime factors.201 is broken down into two factors, 3 and 67
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :(1,3,67 and 201)
Negative:(-1,-3,-67 and -201)
While learning about factors of 201, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Determine if 201 is divisible by 19.
Step 1: Divide 201 by 19:
201÷19 ≈10.5789 (Not a whole number)
Conclusion: Thus, 201 is not divisible by 19.
201 is not divisible by 19.
Find the prime factorization of 201.
Step 1: Use the factors found:
201=3×67
Step 2: Check if both numbers are prime.
67 is a prime number.
Thus, the prime factorization of 201 is 3×67.
The prime factorization of 201 is 3×67.
. Determine the Greatest Common Factor (GCF) of 201 and 123.
Factors of 123: The factors of 123 are 1,3,41, and 123
Finding common factors:
Factors of 201: 1,3,67,201
Common factors: The only common factors are 1 and 3.
GCF = 3.
The GCF of 201 and 123 is 3.





