Factors of 973
Factors of 973 are the list of integers that can be evenly divided into 973. There are overall 4 factors of 973 among which 973 is the biggest factor and its positive factors are 1, 7, 139, 973. The sum of all factors of 973 is 1120 and its factors in Pairs are (1, 973), (7, 139).
- All Factors of 973: 1, 7, 139 and 973
- Negative Factors of 973: -1, -7, -139 and -973
- Prime Factors of 973: 7, 139
- Prime Factorization of 973: 71 × 1391
- Sum of Factors of 973: 1120
1. | What Are the Factors of 973? |
2. | Factors of 973 by Prime Factorization |
3. | Factors of 973 in Pairs |
4. | FAQs on Factors of 973 |

What are Factors of 973?
Factors of 973 are pairs of those numbers whose products result in 973. These factors are either prime numbers or composite numbers.
How to Find the Factors of 973?
To find the factors of 973, we will have to find the list of numbers that would divide 973 without leaving any remainder.
- 973/139 = 7; therefore, 139 is a factor of 973 and 7 is also a factor of 973.
- 973/973 = 1; therefore, 973 is a factor of 973 and 1 is also a factor of 973.
☛ Also Check:
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 23 - The factors of 23 are 1, 23
- Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
Factors of 973 by Prime Factorization
- 973 ÷ 7 = 139
Further dividing 139 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 139 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 973 can be written as 71 × 1391 where 7, 139 are prime.
Factors of 973 in Pairs
Pair factors of 973 are the pairs of numbers that when multiplied give the product 973. The factors of 973 in pairs are:
- 1 × 973 = (1, 973)
- 7 × 139 = (7, 139)
Negative pair factors of 973 are:
- -1 × -973 = (-1, -973)
- -7 × -139 = (-7, -139)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 973 Solved Examples
-
Example 1: How many factors are there for 973?
Solution:
The factors of 973 are 1, 7, 139, 973. Therefore, 973 has 4 factors.
-
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 973 and 293.
Solution:
The factors of 973 are 1, 7, 139, 973 and factors of 293 are 1, 293.
Therefore, the Least Common Multiple of 973 and 293 is 285089 and Highest Common Factor (HCF) of 973 and 293 is 1. -
Example 3: Find if 1, 7 and 918 are factors of 973.
Solution:
When we divide 973 by 918 it leaves a remainder. Therefore, the number 918 is not a factor of 973. All numbers except 918 are factors of 973.
-
Example 4: Find the product of all the prime factors of 973.
Solution:
Since, the prime factors of 973 are 7, 139. Therefore, the product of prime factors = 7 × 139 = 973.
FAQs on Factors of 973
What are the Factors of 973?
The factors of 973 are 1, 7, 139, 973 and its negative factors are -1, -7, -139, -973.
What is the Sum of all the Factors of 973?
All the Factors of 973 are 1, 7, 139, 973 and therefore the sum of all these factors is 1 + 7 + 139 + 973 = 1120
What are the Pair Factors of 973?
The pair factors of 973 are (1, 973), (7, 139).
What is the Greatest Common Factor of 973 and 358?
The factors of 973 are 1, 7, 139, 973 and the factors of 358 are 1, 2, 179, 358. 973 and 358 have only one common factor which is 1. This implies that 973 and 358 are co-prime.
Hence, the Greatest Common Factor (GCF) of 973 and 358 is 1.
How Many Factors of 593 are also common to the Factors of 973?
Since, the factors of 973 are 1, 7, 139, 973 and factors of 593 are 1, 593. Hence, 973 and 593 have only one common factor which is 1. Therefore, 973 and 593 are co-prime.
visual curriculum