Factors of 201
Factors of 201 are the list of integers that we can split evenly into 201. There are 4 factors of 201 of which 201 itself is the biggest factor and its positive factors are 1, 3, 67, 201. The Prime Factors and Pair Factors of 201 are 3 × 67 and (1, 201), (3, 67) respectively.
- All Factors of 201: 1, 3, 67 and 201
- Negative Factors of 201: -1, -3, -67 and -201
- Prime Factors of 201: 3, 67
- Prime Factorization of 201: 31 × 671
- Sum of Factors of 201: 272
1. | What Are the Factors of 201? |
2. | Factors of 201 by Prime Factorization |
3. | Factors of 201 in Pairs |
4. | FAQs on Factors of 201 |

What are Factors of 201?
Factors of 201 are pairs of those numbers whose products result in 201. These factors are either prime numbers or composite numbers.
How to Find the Factors of 201?
To find the factors of 201, we will have to find the list of numbers that would divide 201 without leaving any remainder.
- 201/67 = 3; therefore, 67 is a factor of 201 and 3 is also a factor of 201.
- 201/1 = 201; therefore, 1 is a factor of 201 and 201 is also a factor of 201.
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- Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
Factors of 201 by Prime Factorization
- 201 ÷ 3 = 67
Further dividing 67 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 67 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.
So, the prime factorization of 201 can be written as 31 × 671 where 3, 67 are prime.
Factors of 201 in Pairs
Pair factors of 201 are the pairs of numbers that when multiplied give the product 201. The factors of 201 in pairs are:
- 1 × 201 = (1, 201)
- 3 × 67 = (3, 67)
Negative pair factors of 201 are:
- -1 × -201 = (-1, -201)
- -3 × -67 = (-3, -67)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 201 Solved Examples
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Example 1: How many factors are there for 201?
Solution:
The factors of 201 are 1, 3, 67, 201. Therefore, 201 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 201 and 62.
Solution:
The factors of 201 are 1, 3, 67, 201 and factors of 62 are 1, 2, 31, 62.
Therefore, the Lowest Common Multiple (LCM) of 201 and 62 is 12462 and Highest Common Factor (HCF) of 201 and 62 is 1. -
Example 3: Find if 1, 194 and 201 are factors of 201.
Solution:
When we divide 201 by 194 it leaves a remainder. Therefore, the number 194 is not a factor of 201. All numbers except 194 are factors of 201.
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Example 4: Find the product of all the prime factors of 201.
Solution:
Since, the prime factors of 201 are 3, 67. Therefore, the product of prime factors = 3 × 67 = 201.
FAQs on Factors of 201
What are the Factors of 201?
The factors of 201 are 1, 3, 67, 201 and its negative factors are -1, -3, -67, -201.
What is the Sum of the Factors of 201?
Since, all factors of 201 are 1, 3, 67, 201 therefore, the sum of its factors is 1 + 3 + 67 + 201 = 272.
What are Pair Factors of 201?
The pair factors of 201 are (1, 201), (3, 67).
What is the Greatest Common Factor of 201 and 195?
The factors of 201 and 195 are 1, 3, 67, 201 and 1, 3, 5, 13, 15, 39, 65, 195 respectively.
Common factors of 201 and 195 are [1, 3].
Hence, the Greatest Common Factor (GCF) of 201 and 195 is 3.
What are the Common Factors of 201 and 167?
Since, the factors of 201 are 1, 3, 67, 201 and factors of 167 are 1, 167. Hence, 201 and 167 have only one common factor which is 1. Therefore, 201 and 167 are co-prime.
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