Factors of 262
Factors of 262 are the list of integers that can be evenly divided into 262. There are 4 factors of 262 of which 262 itself is the biggest factor and its positive factors are 1, 2, 131, 262. The Prime Factors and Pair Factors of 262 are 2 × 131 and (1, 262), (2, 131) respectively.
- All Factors of 262: 1, 2, 131 and 262
- Negative Factors of 262: -1, -2, -131 and -262
- Prime Factors of 262: 2, 131
- Prime Factorization of 262: 21 × 1311
- Sum of Factors of 262: 396
1. | What Are the Factors of 262? |
2. | Factors of 262 by Prime Factorization |
3. | Factors of 262 in Pairs |
4. | FAQs on Factors of 262 |

What are Factors of 262?
Factors of 262 are pairs of those numbers whose products result in 262. These factors are either prime numbers or composite numbers.
How to Find the Factors of 262?
To find the factors of 262, we will have to find the list of numbers that would divide 262 without leaving any remainder.
- 262/2 = 131; therefore, 2 is a factor of 262 and 131 is also a factor of 262.
- 262/262 = 1; therefore, 262 is a factor of 262 and 1 is also a factor of 262.
☛ Also Check:
- Factors of 19 - The factors of 19 are 1, 19
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Factors of 262 by Prime Factorization
- 262 ÷ 2 = 131
Further dividing 131 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 131 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 262 can be written as 21 × 1311 where 2, 131 are prime.
Factors of 262 in Pairs
Pair factors of 262 are the pairs of numbers that when multiplied give the product 262. The factors of 262 in pairs are:
- 1 × 262 = (1, 262)
- 2 × 131 = (2, 131)
Negative pair factors of 262 are:
- -1 × -262 = (-1, -262)
- -2 × -131 = (-2, -131)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 262 Solved Examples
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Example 1: How many factors are there for 262?
Solution:
The factors of 262 are 1, 2, 131, 262. Therefore, 262 has 4 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 262 and 156.
Solution:
The factors of 262 are 1, 2, 131, 262 and factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156.
Therefore, the Lowest Common Multiple (LCM) of 262 and 156 is 20436 and Greatest Common Factor (GCF) of 262 and 156 is 2. -
Example 3: Find if 1, 2 and 214 are factors of 262.
Solution:
When we divide 262 by 214 it leaves a remainder. Therefore, the number 214 is not a factor of 262. All numbers except 214 are factors of 262.
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Example 4: Find the product of all the prime factors of 262.
Solution:
Since, the prime factors of 262 are 2, 131. Therefore, the product of prime factors = 2 × 131 = 262.
FAQs on Factors of 262
What are the Factors of 262?
The factors of 262 are 1, 2, 131, 262 and its negative factors are -1, -2, -131, -262.
What is the Sum of Factors of 262?
Factors of 262 are 1, 2, 131, 262 and, the sum of all these factors is 1 + 2 + 131 + 262 = 396
What numbers are the Pair Factors of 262?
The pair factors of 262 are (1, 262), (2, 131).
What is the Greatest Common Factor of 262 and 43?
The factors of 262 are 1, 2, 131, 262 and the factors of 43 are 1, 43. 262 and 43 have only one common factor which is 1. This implies that 262 and 43 are co-prime.
Hence, the Greatest Common Factor (GCF) of 262 and 43 is 1.
How Many Factors of 262 are also common to the Factors of 174?
Since, the factors of 262 are 1, 2, 131, 262 and the factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174.
Hence, [1, 2] are the common factors of 262 and 174.
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