171 LearnersLast updated on May 26th, 2025
Factors of 201
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.
What are the factors of 201?
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.
How to find the factors of 201?
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
Finding Factors Using Multiplication
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.
Finding Factors by Division Method
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
Prime Factors and Prime Factorization
The breaking down of numbers as prime factors is called prime factorization. The factors of 201 are:
201=3x67
Factor tree
A factor tree shows how a number can be parted down into prime factors.201 is broken down into two factors, 3 and 67
Factor Pairs
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)
Common Mistakes and How to Avoid Them in Factors of 201
While learning about factors of 201, students may likely make mistakes, to avoid them a few mistakes with solutions are given below:
Mistake 1
Improper calculation in division
Children may get confused while performing divisions in the carry forward of numbers, which may lead to improper results. To avoid this, students should practice division to be better at the calculations.
factors of 201 Examples
Problem 1
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.
Explanation
201 is not divisible by 19.
Problem 2
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.
Explanation
The prime factorization of 201 is 3×67.
Problem 3
. 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.
Explanation
The GCF of 201 and 123 is 3.
FAQs on Factors of 201
1.What is the number name of 201?
2.Is 201 a multiple of 3?
3.Is 201 a perfect square?
4.What number is 201 divisible by?
5.What is the square root of 201?
6.How can children in India use numbers in everyday life to understand Factors of 201?
7.What are some fun ways kids in India can practice Factors of 201 with numbers?
8.What role do numbers and Factors of 201 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 201 skills?
Important Glossaries for Factors of 201
- Prime Factorization: It is a method of splitting down a number into its factors. For example:201=3x67
- Divisibility: A number is said to be divisible by a certain number, when we divide a number it should give a whole number and not a decimal.
- Even number: A number that when divided by 2 gives a whole number.
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