Factors of 616
Factors of 616 are integers that can be divided evenly into 616. There are 16 factors of 616, of which the following are its prime factors 2, 7, 11. The sum of all factors of 616 is 1440.
- All Factors of 616: 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308 and 616
- Prime Factors of 616: 2, 7, 11
- Prime Factorization of 616: 23 × 71 × 111
- Sum of Factors of 616: 1440
1. | What Are the Factors of 616? |
2. | Factors of 616 by Prime Factorization |
3. | Factors of 616 in Pairs |
4. | FAQs on Factors of 616 |

What are Factors of 616?
Factors of 616 are pairs of those numbers whose products result in 616. These factors are either prime numbers or composite numbers.
How to Find the Factors of 616?
To find the factors of 616, we will have to find the list of numbers that would divide 616 without leaving any remainder.
- 616/11 = 56; therefore, 11 is a factor of 616 and 56 is also a factor of 616.
- 616/4 = 154; therefore, 4 is a factor of 616 and 154 is also a factor of 616.
☛ Also Check:
- Factors of 13 - The factors of 13 are 1, 13
- Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 616 by Prime Factorization
- 616 ÷ 2 = 308
- 308 ÷ 2 = 154
- 154 ÷ 2 = 77
Further dividing 77 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 77 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 616 can be written as 23 × 71 × 111 where 2, 7, 11 are prime.
Factors of 616 in Pairs
Pair factors of 616 are the pairs of numbers that when multiplied give the product 616. The factors of 616 in pairs are:
- 1 × 616 = (1, 616)
- 2 × 308 = (2, 308)
- 4 × 154 = (4, 154)
- 7 × 88 = (7, 88)
- 8 × 77 = (8, 77)
- 11 × 56 = (11, 56)
- 14 × 44 = (14, 44)
- 22 × 28 = (22, 28)
Negative pair factors of 616 are:
- -1 × -616 = (-1, -616)
- -2 × -308 = (-2, -308)
- -4 × -154 = (-4, -154)
- -7 × -88 = (-7, -88)
- -8 × -77 = (-8, -77)
- -11 × -56 = (-11, -56)
- -14 × -44 = (-14, -44)
- -22 × -28 = (-22, -28)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 616 Solved Examples
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Example 1: How many factors are there for 616?
Solution:
The factors of 616 are too many, therefore if we can find the prime factorization of 616, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 616 = 23 × 71 × 111
Therefore, the total number of factors are (3 + 1) × (1 + 1) × (1 + 1) = 4 × 2 × 2 = 16 -
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 616 and 116.
Solution:
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 and factors of 116 are 1, 2, 4, 29, 58, 116.
Therefore, the Least Common Multiple of 616 and 116 is 17864 and Highest Common Factor (HCF) of 616 and 116 is 4. -
Example 3: Find if 1, 7, 8, 14, 22, 56, 154 and 171 are factors of 616.
Solution:
When we divide 616 by 171 it leaves a remainder. Therefore, the number 171 is not a factor of 616. All numbers except 171 are factors of 616.
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Example 4: Find the product of all the prime factors of 616.
Solution:
Since, the prime factors of 616 are 2, 7, 11. Therefore, the product of prime factors = 2 × 7 × 11 = 154.
FAQs on Factors of 616
What are the Factors of 616?
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 and its negative factors are -1, -2, -4, -7, -8, -11, -14, -22, -28, -44, -56, -77, -88, -154, -308, -616.
What is the Sum of all Factors of 616?
Sum of all factors of 616 = (23 + 1 - 1)/(2 - 1) × (71 + 1 - 1)/(7 - 1) × (111 + 1 - 1)/(11 - 1) = 1440
What are the Prime Factors of 616?
The prime factors of 616 are 2, 7, 11.
What is the Greatest Common Factor of 616 and 506?
The factors of 616 and 506 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 and 1, 2, 11, 22, 23, 46, 253, 506 respectively.
Common factors of 616 and 506 are [1, 2, 11, 22].
Hence, the GCF of 616 and 506 is 22.
How Many Factors of 616 are also Factors of 362?
Since, the factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616 and the factors of 362 are 1, 2, 181, 362.
Hence, [1, 2] are the common factors of 616 and 362.
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