Factors of 610
Factors of 610 are numbers that, when multiplied in pairs give the product as 610. There are 8 factors of 610 of which 610 itself is the biggest factor and its positive factors are 1, 2, 5, 10, 61, 122, 305, 610. The sum of all factors of 610 is 1116 and its factors in Pairs are (1, 610), (2, 305), (5, 122), (10, 61).
- All Factors of 610: 1, 2, 5, 10, 61, 122, 305 and 610
- Negative Factors of 610: -1, -2, -5, -10, -61, -122, -305 and -610
- Prime Factors of 610: 2, 5, 61
- Prime Factorization of 610: 21 × 51 × 611
- Sum of Factors of 610: 1116
1. | What Are the Factors of 610? |
2. | Factors of 610 by Prime Factorization |
3. | Factors of 610 in Pairs |
4. | FAQs on Factors of 610 |
What are Factors of 610?
Factors of 610 are pairs of those numbers whose products result in 610. These factors are either prime numbers or composite numbers.
How to Find the Factors of 610?
To find the factors of 610, we will have to find the list of numbers that would divide 610 without leaving any remainder.
- 610/122 = 5; therefore, 122 is a factor of 610 and 5 is also a factor of 610.
- 610/305 = 2; therefore, 305 is a factor of 610 and 2 is also a factor of 610.
☛ Also Check:
- Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
- Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
- Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 610 by Prime Factorization
- 610 ÷ 2 = 305
Further dividing 305 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 305 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 610 can be written as 21 × 51 × 611 where 2, 5, 61 are prime.
Factors of 610 in Pairs
Pair factors of 610 are the pairs of numbers that when multiplied give the product 610. The factors of 610 in pairs are:
- 1 × 610 = (1, 610)
- 2 × 305 = (2, 305)
- 5 × 122 = (5, 122)
- 10 × 61 = (10, 61)
Negative pair factors of 610 are:
- -1 × -610 = (-1, -610)
- -2 × -305 = (-2, -305)
- -5 × -122 = (-5, -122)
- -10 × -61 = (-10, -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 610 Solved Examples
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Example 1: How many factors are there for 610?
Solution:
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. Therefore, 610 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 610 and 605.
Solution:
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610 and factors of 605 are 1, 5, 11, 55, 121, 605.
Therefore, the Least Common Multiple (LCM) of 610 and 605 is 73810 and Greatest Common Factor (GCF) of 610 and 605 is 5. -
Example 3: Find if 10, 61, 305, 496 and 610 are factors of 610.
Solution:
When we divide 610 by 496 it leaves a remainder. Therefore, the number 496 is not a factor of 610. All numbers except 496 are factors of 610.
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Example 4: Find the product of all the prime factors of 610.
Solution:
Since, the prime factors of 610 are 2, 5, 61. Therefore, the product of prime factors = 2 × 5 × 61 = 610.
FAQs on Factors of 610
What are the Factors of 610?
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610 and its negative factors are -1, -2, -5, -10, -61, -122, -305, -610.
What is the Sum of all Factors of 610?
Sum of all factors of 610 = (21 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (611 + 1 - 1)/(61 - 1) = 1116
What are Pair Factors of 610?
The pair factors of 610 are (1, 610), (2, 305), (5, 122), (10, 61).
What is the Greatest Common Factor of 610 and 388?
The factors of 610 and 388 are 1, 2, 5, 10, 61, 122, 305, 610 and 1, 2, 4, 97, 194, 388 respectively.
Common factors of 610 and 388 are [1, 2].
Hence, the GCF of 610 and 388 is 2.
How Many Factors of 610 are also common to the Factors of 165?
Since, the factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610 and the factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165.
Hence, [1, 5] are the common factors of 610 and 165.
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