Factors of 542
Factors of 542 are the list of integers that we can split evenly into 542. There are overall 4 factors of 542 i.e. 1, 2, 271, 542 where 542 is the biggest factor. The Prime Factors of 542 are 2 × 271 and its Factors in Pairs are (1, 542), (2, 271).
- All Factors of 542: 1, 2, 271 and 542
- Negative Factors of 542: -1, -2, -271 and -542
- Prime Factors of 542: 2, 271
- Prime Factorization of 542: 21 × 2711
- Sum of Factors of 542: 816
1. | What Are the Factors of 542? |
2. | Factors of 542 by Prime Factorization |
3. | Factors of 542 in Pairs |
4. | FAQs on Factors of 542 |

What are Factors of 542?
Factors of 542 are pairs of those numbers whose products result in 542. These factors are either prime numbers or composite numbers.
How to Find the Factors of 542?
To find the factors of 542, we will have to find the list of numbers that would divide 542 without leaving any remainder.
- 542/2 = 271; therefore, 2 is a factor of 542 and 271 is also a factor of 542.
- 542/1 = 542; therefore, 1 is a factor of 542 and 542 is also a factor of 542.
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Factors of 542 by Prime Factorization
- 542 ÷ 2 = 271
Further dividing 271 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 271 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 542 can be written as 21 × 2711 where 2, 271 are prime.
Factors of 542 in Pairs
Pair factors of 542 are the pairs of numbers that when multiplied give the product 542. The factors of 542 in pairs are:
- 1 × 542 = (1, 542)
- 2 × 271 = (2, 271)
Negative pair factors of 542 are:
- -1 × -542 = (-1, -542)
- -2 × -271 = (-2, -271)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 542 Solved Examples
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Example 1: How many factors are there for 542?
Solution:
The factors of 542 are 1, 2, 271, 542. Therefore, 542 has 4 factors.
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Example 2: Find the LCM and Highest Common Factor (HCF) of 542 and 476.
Solution:
The factors of 542 are 1, 2, 271, 542 and factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476.
Therefore, the LCM of 542 and 476 is 128996 and Highest Common Factor (HCF) of 542 and 476 is 2. -
Example 3: Find if 1, 271 and 297 are factors of 542.
Solution:
When we divide 542 by 297 it leaves a remainder. Therefore, the number 297 is not a factor of 542. All numbers except 297 are factors of 542.
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Example 4: Find the product of all the prime factors of 542.
Solution:
Since, the prime factors of 542 are 2, 271. Therefore, the product of prime factors = 2 × 271 = 542.
FAQs on Factors of 542
What are the Factors of 542?
The factors of 542 are 1, 2, 271, 542 and its negative factors are -1, -2, -271, -542.
What is the Sum of all the Factors of 542?
All the Factors of 542 are 1, 2, 271, 542 and therefore the sum of all these factors is 1 + 2 + 271 + 542 = 816
What numbers are the Pair Factors of 542?
The pair factors of 542 are (1, 542), (2, 271).
What is the Greatest Common Factor of 542 and 42?
The factors of 542 and 42 are 1, 2, 271, 542 and 1, 2, 3, 6, 7, 14, 21, 42 respectively.
Common factors of 542 and 42 are [1, 2].
Hence, the GCF of 542 and 42 is 2.
How Many Factors of 542 are also Factors of 193?
Since, the factors of 542 are 1, 2, 271, 542 and factors of 193 are 1, 193. Hence, 542 and 193 have only one common factor which is 1. Therefore, 542 and 193 are co-prime.
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