Factors of 711
Factors of 711 are the list of integers that can be evenly divided into 711. There are overall 6 factors of 711 i.e. 1, 3, 9, 79, 237, 711 where 711 is the biggest factor. The Prime Factors of 711 are 3 × 79 and its Factors in Pairs are (1, 711), (3, 237), (9, 79).
- All Factors of 711: 1, 3, 9, 79, 237 and 711
- Negative Factors of 711: -1, -3, -9, -79, -237 and -711
- Prime Factors of 711: 3, 79
- Prime Factorization of 711: 32 × 791
- Sum of Factors of 711: 1040
1. | What Are the Factors of 711? |
2. | Factors of 711 by Prime Factorization |
3. | Factors of 711 in Pairs |
4. | FAQs on Factors of 711 |
What are Factors of 711?
Factors of 711 are pairs of those numbers whose products result in 711. These factors are either prime numbers or composite numbers.
How to Find the Factors of 711?
To find the factors of 711, we will have to find the list of numbers that would divide 711 without leaving any remainder.
- 711/3 = 237; therefore, 3 is a factor of 711 and 237 is also a factor of 711.
- 711/9 = 79; therefore, 9 is a factor of 711 and 79 is also a factor of 711.
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- Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
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- Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
- Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
Factors of 711 by Prime Factorization
- 711 ÷ 3 = 237
- 237 ÷ 3 = 79
Further dividing 79 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 79 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 711 can be written as 32 × 791 where 3, 79 are prime.
Factors of 711 in Pairs
Pair factors of 711 are the pairs of numbers that when multiplied give the product 711. The factors of 711 in pairs are:
- 1 × 711 = (1, 711)
- 3 × 237 = (3, 237)
- 9 × 79 = (9, 79)
Negative pair factors of 711 are:
- -1 × -711 = (-1, -711)
- -3 × -237 = (-3, -237)
- -9 × -79 = (-9, -79)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 711 Solved Examples
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Example 1: How many factors are there for 711?
Solution:
The factors of 711 are 1, 3, 9, 79, 237, 711. Therefore, 711 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 711 and 369.
Solution:
The factors of 711 are 1, 3, 9, 79, 237, 711 and factors of 369 are 1, 3, 9, 41, 123, 369.
Therefore, the Lowest Common Multiple (LCM) of 711 and 369 is 29151 and Greatest Common Factor (GCF) of 711 and 369 is 9. -
Example 3: Find if 9, 237, 672 and 711 are factors of 711.
Solution:
When we divide 711 by 672 it leaves a remainder. Therefore, the number 672 is not a factor of 711. All numbers except 672 are factors of 711.
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Example 4: Find the product of all the prime factors of 711.
Solution:
Since, the prime factors of 711 are 3, 79. Therefore, the product of prime factors = 3 × 79 = 237.
FAQs on Factors of 711
What are the Factors of 711?
The factors of 711 are 1, 3, 9, 79, 237, 711 and its negative factors are -1, -3, -9, -79, -237, -711.
What is the Sum of the Factors of 711?
Since, all factors of 711 are 1, 3, 9, 79, 237, 711 therefore, the sum of its factors is 1 + 3 + 9 + 79 + 237 + 711 = 1040.
What are the Pair Factors of 711?
The pair factors of 711 are (1, 711), (3, 237), (9, 79).
What is the Greatest Common Factor of 711 and 622?
The factors of 711 are 1, 3, 9, 79, 237, 711 and the factors of 622 are 1, 2, 311, 622. 711 and 622 have only one common factor which is 1. This implies that 711 and 622 are co-prime.
Hence, the Greatest Common Factor (GCF) of 711 and 622 is 1.
What are the Common Factors of 711 and 194?
Since, the factors of 711 are 1, 3, 9, 79, 237, 711 and factors of 194 are 1, 2, 97, 194. Hence, 711 and 194 have only one common factor which is 1. Therefore, 711 and 194 are co-prime.
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