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. Let’s learn about the Factors of 201 which are 1,3,67 and 201. The number has both positive and negative factors that divide the number evenly.
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.