Factors of 498
Factors of 498 are integers that can be divided evenly into 498. There are overall 8 factors of 498 among which 498 is the biggest factor and its positive factors are 1, 2, 3, 6, 83, 166, 249, 498. The sum of all factors of 498 is 1008. Its Prime Factors are 2 × 3 × 83 and (1, 498), (2, 249), (3, 166), (6, 83) are Pair Factors.
- All Factors of 498: 1, 2, 3, 6, 83, 166, 249 and 498
- Negative Factors of 498: -1, -2, -3, -6, -83, -166, -249 and -498
- Prime Factors of 498: 2, 3, 83
- Prime Factorization of 498: 21 × 31 × 831
- Sum of Factors of 498: 1008
1. | What Are the Factors of 498? |
2. | Factors of 498 by Prime Factorization |
3. | Factors of 498 in Pairs |
4. | FAQs on Factors of 498 |
What are Factors of 498?
Factors of 498 are pairs of those numbers whose products result in 498. These factors are either prime numbers or composite numbers.
How to Find the Factors of 498?
To find the factors of 498, we will have to find the list of numbers that would divide 498 without leaving any remainder.
- 498/166 = 3; therefore, 166 is a factor of 498 and 3 is also a factor of 498.
- 498/83 = 6; therefore, 83 is a factor of 498 and 6 is also a factor of 498.
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- Factors of 25 - The factors of 25 are 1, 5, 25
Factors of 498 by Prime Factorization
- 498 ÷ 2 = 249
Further dividing 249 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 249 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 498 can be written as 21 × 31 × 831 where 2, 3, 83 are prime.
Factors of 498 in Pairs
Pair factors of 498 are the pairs of numbers that when multiplied give the product 498. The factors of 498 in pairs are:
- 1 × 498 = (1, 498)
- 2 × 249 = (2, 249)
- 3 × 166 = (3, 166)
- 6 × 83 = (6, 83)
Negative pair factors of 498 are:
- -1 × -498 = (-1, -498)
- -2 × -249 = (-2, -249)
- -3 × -166 = (-3, -166)
- -6 × -83 = (-6, -83)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 498 Solved Examples
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Example 1: How many factors are there for 498?
Solution:
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. Therefore, 498 has 8 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 498 and 31.
Solution:
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498 and factors of 31 are 1, 31.
Therefore, the Lowest Common Multiple (LCM) of 498 and 31 is 15438 and Greatest Common Factor (GCF) of 498 and 31 is 1. -
Example 3: Find if 3, 6, 166, 395 and 498 are factors of 498.
Solution:
When we divide 498 by 395 it leaves a remainder. Therefore, the number 395 is not a factor of 498. All numbers except 395 are factors of 498.
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Example 4: Find the product of all the prime factors of 498.
Solution:
Since, the prime factors of 498 are 2, 3, 83. Therefore, the product of prime factors = 2 × 3 × 83 = 498.
FAQs on Factors of 498
What are the Factors of 498?
The factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498 and its negative factors are -1, -2, -3, -6, -83, -166, -249, -498.
What is the Sum of Factors of 498?
Sum of all factors of 498 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (831 + 1 - 1)/(83 - 1) = 1008
What are the Prime Factors of 498?
The prime factors of 498 are 2, 3, 83.
What is the Greatest Common Factor of 498 and 183?
The factors of 498 and 183 are 1, 2, 3, 6, 83, 166, 249, 498 and 1, 3, 61, 183 respectively.
Common factors of 498 and 183 are [1, 3].
Hence, the GCF of 498 and 183 is 3.
What are the Common Factors of 498 and 465?
Since, the factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498 and the factors of 465 are 1, 3, 5, 15, 31, 93, 155, 465.
Hence, [1, 3] are the common factors of 498 and 465.
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