Factors of 488
Factors of 488 are the list of integers that we can split evenly into 488. There are overall 8 factors of 488 i.e. 1, 2, 4, 8, 61, 122, 244, 488 where 488 is the biggest factor. The Prime Factors of 488 are 2 × 61 and its Factors in Pairs are (1, 488), (2, 244), (4, 122), (8, 61).
- All Factors of 488: 1, 2, 4, 8, 61, 122, 244 and 488
- Negative Factors of 488: -1, -2, -4, -8, -61, -122, -244 and -488
- Prime Factors of 488: 2, 61
- Prime Factorization of 488: 23 × 611
- Sum of Factors of 488: 930
1. | What Are the Factors of 488? |
2. | Factors of 488 by Prime Factorization |
3. | Factors of 488 in Pairs |
4. | FAQs on Factors of 488 |
![Factors of 488](https://static.qumath.in/static/website/old-cdn-static/factors/factors-of-488.png)
What are Factors of 488?
Factors of 488 are pairs of those numbers whose products result in 488. These factors are either prime numbers or composite numbers.
How to Find the Factors of 488?
To find the factors of 488, we will have to find the list of numbers that would divide 488 without leaving any remainder.
- 488/488 = 1; therefore, 488 is a factor of 488.
- 488/61 = 8; therefore, 61 is a factor of 488.
☛ Also Check:
- Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 25 - The factors of 25 are 1, 5, 25
- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
Factors of 488 by Prime Factorization
- 488 ÷ 2 = 244
- 244 ÷ 2 = 122
- 122 ÷ 2 = 61
Further dividing 61 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 61 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 488 can be written as 23 × 611 where 2, 61 are prime.
Factors of 488 in Pairs
Pair factors of 488 are the pairs of numbers that when multiplied give the product 488. The factors of 488 in pairs are:
- 1 × 488 = (1, 488)
- 2 × 244 = (2, 244)
- 4 × 122 = (4, 122)
- 8 × 61 = (8, 61)
Negative pair factors of 488 are:
- -1 × -488 = (-1, -488)
- -2 × -244 = (-2, -244)
- -4 × -122 = (-4, -122)
- -8 × -61 = (-8, -61)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 488 Solved Examples
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Example 1: How many factors are there for 488?
Solution:
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. Therefore, 488 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 488 and 76.
Solution:
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488 and factors of 76 are 1, 2, 4, 19, 38, 76.
Therefore, the Least Common Multiple (LCM) of 488 and 76 is 9272 and Greatest Common Divisor (GCD) of 488 and 76 is 4. -
Example 3: Find if 2, 8, 61, 84 and 122 are factors of 488.
Solution:
When we divide 488 by 84 it leaves a remainder. Therefore, the number 84 is not a factor of 488. All numbers except 84 are factors of 488.
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Example 4: Find the product of all the prime factors of 488.
Solution:
Since, the prime factors of 488 are 2, 61. Therefore, the product of prime factors = 2 × 61 = 122.
FAQs on Factors of 488
What are the Factors of 488?
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488 and its negative factors are -1, -2, -4, -8, -61, -122, -244, -488.
What is the Sum of all the Factors of 488?
Sum of all factors of 488 = (23 + 1 - 1)/(2 - 1) × (611 + 1 - 1)/(61 - 1) = 930
What are the Prime Factors of 488?
The prime factors of 488 are 2, 61.
What is the Greatest Common Factor of 488 and 36?
The factors of 488 and 36 are 1, 2, 4, 8, 61, 122, 244, 488 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively.
Common factors of 488 and 36 are [1, 2, 4].
Hence, the GCF of 488 and 36 is 4.
What are the Common Factors of 488 and 126?
Since, the factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488 and the factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.
Hence, [1, 2] are the common factors of 488 and 126.
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