Factors of 931
Factors of 931 are the list of integers that can be evenly divided into 931. There are overall 6 factors of 931 i.e. 1, 7, 19, 49, 133, 931 where 931 is the biggest factor. The Prime Factors of 931 are 7 × 19 and its Factors in Pairs are (1, 931), (7, 133), (19, 49).
- All Factors of 931: 1, 7, 19, 49, 133 and 931
- Negative Factors of 931: -1, -7, -19, -49, -133 and -931
- Prime Factors of 931: 7, 19
- Prime Factorization of 931: 72 × 191
- Sum of Factors of 931: 1140
1. | What Are the Factors of 931? |
2. | Factors of 931 by Prime Factorization |
3. | Factors of 931 in Pairs |
4. | FAQs on Factors of 931 |
What are Factors of 931?
Factors of 931 are pairs of those numbers whose products result in 931. These factors are either prime numbers or composite numbers.
How to Find the Factors of 931?
To find the factors of 931, we will have to find the list of numbers that would divide 931 without leaving any remainder.
- 931/7 = 133; therefore, 7 is a factor of 931 and 133 is also a factor of 931.
- 931/19 = 49; therefore, 19 is a factor of 931 and 49 is also a factor of 931.
☛ Also Check:
- Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
- Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
Factors of 931 by Prime Factorization
- 931 ÷ 7 = 133
- 133 ÷ 7 = 19
Further dividing 19 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 19 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 931 can be written as 72 × 191 where 7, 19 are prime.
Factors of 931 in Pairs
Pair factors of 931 are the pairs of numbers that when multiplied give the product 931. The factors of 931 in pairs are:
- 1 × 931 = (1, 931)
- 7 × 133 = (7, 133)
- 19 × 49 = (19, 49)
Negative pair factors of 931 are:
- -1 × -931 = (-1, -931)
- -7 × -133 = (-7, -133)
- -19 × -49 = (-19, -49)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 931 Solved Examples
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Example 1: How many factors are there for 931?
Solution:
The factors of 931 are 1, 7, 19, 49, 133, 931. Therefore, 931 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 931 and 743.
Solution:
The factors of 931 are 1, 7, 19, 49, 133, 931 and factors of 743 are 1, 743.
Therefore, the Lowest Common Multiple (LCM) of 931 and 743 is 691733 and Greatest Common Factor (GCF) of 931 and 743 is 1. -
Example 3: Find if 49, 133, 515 and 931 are factors of 931.
Solution:
When we divide 931 by 515 it leaves a remainder. Therefore, the number 515 is not a factor of 931. All numbers except 515 are factors of 931.
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Example 4: Find the product of all the prime factors of 931.
Solution:
Since, the prime factors of 931 are 7, 19. Therefore, the product of prime factors = 7 × 19 = 133.
FAQs on Factors of 931
What are the Factors of 931?
The factors of 931 are 1, 7, 19, 49, 133, 931 and its negative factors are -1, -7, -19, -49, -133, -931.
What is the Sum of all the Factors of 931?
Since, all factors of 931 are 1, 7, 19, 49, 133, 931 therefore, the sum of its factors is 1 + 7 + 19 + 49 + 133 + 931 = 1140.
What are the Pair Factors of 931?
The pair factors of 931 are (1, 931), (7, 133), (19, 49).
What is the Greatest Common Factor of 931 and 296?
The factors of 931 are 1, 7, 19, 49, 133, 931 and the factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296. 931 and 296 have only one common factor which is 1. This implies that 931 and 296 are co-prime.
Hence, the Greatest Common Factor (GCF) of 931 and 296 is 1.
How Many Factors of 174 are also common to the Factors of 931?
Since, the factors of 931 are 1, 7, 19, 49, 133, 931 and factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. Hence, 931 and 174 have only one common factor which is 1. Therefore, 931 and 174 are co-prime.
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