Factors of 793
Factors of 793 are numbers that, when multiplied in pairs give the product as 793. There are 4 factors of 793 of which 793 itself is the biggest factor and its positive factors are 1, 13, 61, 793. The sum of all factors of 793 is 868. Its Prime Factors are 13 × 61 and (1, 793), (13, 61) are Pair Factors.
- All Factors of 793: 1, 13, 61 and 793
- Negative Factors of 793: -1, -13, -61 and -793
- Prime Factors of 793: 13, 61
- Prime Factorization of 793: 131 × 611
- Sum of Factors of 793: 868
1. | What Are the Factors of 793? |
2. | Factors of 793 by Prime Factorization |
3. | Factors of 793 in Pairs |
4. | FAQs on Factors of 793 |

What are Factors of 793?
Factors of 793 are pairs of those numbers whose products result in 793. These factors are either prime numbers or composite numbers.
How to Find the Factors of 793?
To find the factors of 793, we will have to find the list of numbers that would divide 793 without leaving any remainder.
- 793/13 = 61; therefore, 13 is a factor of 793 and 61 is also a factor of 793.
- 793/1 = 793; therefore, 1 is a factor of 793 and 793 is also a factor of 793.
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- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 9 - The factors of 9 are 1, 3, 9
- Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factors of 793 by Prime Factorization
- 793 ÷ 13 = 61
Further dividing 61 by 13 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 793 can be written as 131 × 611 where 13, 61 are prime.
Factors of 793 in Pairs
Pair factors of 793 are the pairs of numbers that when multiplied give the product 793. The factors of 793 in pairs are:
- 1 × 793 = (1, 793)
- 13 × 61 = (13, 61)
Negative pair factors of 793 are:
- -1 × -793 = (-1, -793)
- -13 × -61 = (-13, -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 793 Solved Examples
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Example 1: How many factors are there for 793?
Solution:
The factors of 793 are 1, 13, 61, 793. Therefore, 793 has 4 factors.
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Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 793 and 210.
Solution:
The factors of 793 are 1, 13, 61, 793 and factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
Therefore, the Least Common Multiple of 793 and 210 is 166530 and Highest Common Factor (HCF) of 793 and 210 is 1. -
Example 3: Find if 1, 13 and 556 are factors of 793.
Solution:
When we divide 793 by 556 it leaves a remainder. Therefore, the number 556 is not a factor of 793. All numbers except 556 are factors of 793.
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Example 4: Find the product of all the prime factors of 793.
Solution:
Since, the prime factors of 793 are 13, 61. Therefore, the product of prime factors = 13 × 61 = 793.
FAQs on Factors of 793
What are the Factors of 793?
The factors of 793 are 1, 13, 61, 793 and its negative factors are -1, -13, -61, -793.
What is the Sum of the Factors of 793?
Since, all factors of 793 are 1, 13, 61, 793 therefore, the sum of its factors is 1 + 13 + 61 + 793 = 868.
What are the Pair Factors of 793?
The pair factors of 793 are (1, 793), (13, 61).
What is the Greatest Common Factor of 793 and 149?
The factors of 793 are 1, 13, 61, 793 and the factors of 149 are 1, 149. 793 and 149 have only one common factor which is 1. This implies that 793 and 149 are co-prime.
Hence, the Greatest Common Factor (GCF) of 793 and 149 is 1.
How Many Factors of 793 are also Factors of 237?
Since, the factors of 793 are 1, 13, 61, 793 and factors of 237 are 1, 3, 79, 237. Hence, 793 and 237 have only one common factor which is 1. Therefore, 793 and 237 are co-prime.
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