Factors of 508
Factors of 508 are integers that can be divided evenly into 508. There are total 6 factors of 508 i.e. 1, 2, 4, 127, 254, 508. The Prime Factors of 508 are 2 × 127 and its Factors in Pairs are (1, 508), (2, 254), (4, 127).
- All Factors of 508: 1, 2, 4, 127, 254 and 508
- Negative Factors of 508: -1, -2, -4, -127, -254 and -508
- Prime Factors of 508: 2, 127
- Prime Factorization of 508: 22 × 1271
- Sum of Factors of 508: 896
1. | What Are the Factors of 508? |
2. | Factors of 508 by Prime Factorization |
3. | Factors of 508 in Pairs |
4. | FAQs on Factors of 508 |
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What are Factors of 508?
Factors of 508 are pairs of those numbers whose products result in 508. These factors are either prime numbers or composite numbers.
How to Find the Factors of 508?
To find the factors of 508, we will have to find the list of numbers that would divide 508 without leaving any remainder.
- 508/508 = 1; therefore, 508 is a factor of 508.
- 508/4 = 127; therefore, 4 is a factor of 508.
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- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
Factors of 508 by Prime Factorization
- 508 ÷ 2 = 254
- 254 ÷ 2 = 127
Further dividing 127 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 127 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 508 can be written as 22 × 1271 where 2, 127 are prime.
Factors of 508 in Pairs
Pair factors of 508 are the pairs of numbers that when multiplied give the product 508. The factors of 508 in pairs are:
- 1 × 508 = (1, 508)
- 2 × 254 = (2, 254)
- 4 × 127 = (4, 127)
Negative pair factors of 508 are:
- -1 × -508 = (-1, -508)
- -2 × -254 = (-2, -254)
- -4 × -127 = (-4, -127)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 508 Solved Examples
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Example 1: How many factors are there for 508?
Solution:
The factors of 508 are 1, 2, 4, 127, 254, 508. Therefore, 508 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 508 and 266.
Solution:
The factors of 508 are 1, 2, 4, 127, 254, 508 and factors of 266 are 1, 2, 7, 14, 19, 38, 133, 266.
Therefore, the Lowest Common Multiple (LCM) of 508 and 266 is 67564 and Greatest Common Divisor (GCD) of 508 and 266 is 2. -
Example 3: Find if 1, 127, 254 and 388 are factors of 508.
Solution:
When we divide 508 by 388 it leaves a remainder. Therefore, the number 388 is not a factor of 508. All numbers except 388 are factors of 508.
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Example 4: Find the product of all the prime factors of 508.
Solution:
Since, the prime factors of 508 are 2, 127. Therefore, the product of prime factors = 2 × 127 = 254.
FAQs on Factors of 508
What are the Factors of 508?
The factors of 508 are 1, 2, 4, 127, 254, 508 and its negative factors are -1, -2, -4, -127, -254, -508.
What is the Sum of the Factors of 508?
All the Factors of 508 are 1, 2, 4, 127, 254, 508 and therefore the sum of all these factors is 1 + 2 + 4 + 127 + 254 + 508 = 896
What numbers are the Pair Factors of 508?
The pair factors of 508 are (1, 508), (2, 254), (4, 127).
What is the Greatest Common Factor of 508 and 329?
The factors of 508 are 1, 2, 4, 127, 254, 508 and the factors of 329 are 1, 7, 47, 329. 508 and 329 have only one common factor which is 1. This implies that 508 and 329 are co-prime.
Hence, the Greatest Common Factor (GCF) of 508 and 329 is 1.
How Many Factors of 508 are also Factors of 285?
Since, the factors of 508 are 1, 2, 4, 127, 254, 508 and factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. Hence, 508 and 285 have only one common factor which is 1. Therefore, 508 and 285 are co-prime.
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