Factors of 279
Factors of 279 are the list of integers that can be evenly divided into 279. It has a total of 6 factors of which 279 is the biggest factor and the positive factors of 279 are 1, 3, 9, 31, 93, 279. The sum of all factors of 279 is 416. Its Prime Factors are 3 × 31 and (1, 279), (3, 93), (9, 31) are Pair Factors.
- All Factors of 279: 1, 3, 9, 31, 93 and 279
- Negative Factors of 279: -1, -3, -9, -31, -93 and -279
- Prime Factors of 279: 3, 31
- Prime Factorization of 279: 32 × 311
- Sum of Factors of 279: 416
1. | What Are the Factors of 279? |
2. | Factors of 279 by Prime Factorization |
3. | Factors of 279 in Pairs |
4. | FAQs on Factors of 279 |

What are Factors of 279?
Factors of 279 are pairs of those numbers whose products result in 279. These factors are either prime numbers or composite numbers.
How to Find the Factors of 279?
To find the factors of 279, we will have to find the list of numbers that would divide 279 without leaving any remainder.
- 279/3 = 93; therefore, 3 is a factor of 279 and 93 is also a factor of 279.
- 279/31 = 9; therefore, 31 is a factor of 279 and 9 is also a factor of 279.
☛ Also Check:
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- Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
- Factors of 11 - The factors of 11 are 1, 11
- Factors of 10 - The factors of 10 are 1, 2, 5, 10
- Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 279 by Prime Factorization
- 279 ÷ 3 = 93
- 93 ÷ 3 = 31
Further dividing 31 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 31 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 279 can be written as 32 × 311 where 3, 31 are prime.
Factors of 279 in Pairs
Pair factors of 279 are the pairs of numbers that when multiplied give the product 279. The factors of 279 in pairs are:
- 1 × 279 = (1, 279)
- 3 × 93 = (3, 93)
- 9 × 31 = (9, 31)
Negative pair factors of 279 are:
- -1 × -279 = (-1, -279)
- -3 × -93 = (-3, -93)
- -9 × -31 = (-9, -31)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 279 Solved Examples
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Example 1: How many factors are there for 279?
Solution:
The factors of 279 are 1, 3, 9, 31, 93, 279. Therefore, 279 has 6 factors.
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Example 2: Find the Least Common Multiple (LCM) and Greatest Common Divisor (GCD) of 279 and 176.
Solution:
The factors of 279 are 1, 3, 9, 31, 93, 279 and factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176.
Therefore, the Least Common Multiple (LCM) of 279 and 176 is 49104 and Greatest Common Divisor (GCD) of 279 and 176 is 1. -
Example 3: Find if 9, 93, 167 and 279 are factors of 279.
Solution:
When we divide 279 by 167 it leaves a remainder. Therefore, the number 167 is not a factor of 279. All numbers except 167 are factors of 279.
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Example 4: Find the product of all the prime factors of 279.
Solution:
Since, the prime factors of 279 are 3, 31. Therefore, the product of prime factors = 3 × 31 = 93.
FAQs on Factors of 279
What are the Factors of 279?
The factors of 279 are 1, 3, 9, 31, 93, 279 and its negative factors are -1, -3, -9, -31, -93, -279.
What is the Sum of all Factors of 279?
Since, all factors of 279 are 1, 3, 9, 31, 93, 279 therefore, the sum of its factors is 1 + 3 + 9 + 31 + 93 + 279 = 416.
What are the Pair Factors of 279?
The pair factors of 279 are (1, 279), (3, 93), (9, 31).
What is the Greatest Common Factor of 279 and 189?
The factors of 279 and 189 are 1, 3, 9, 31, 93, 279 and 1, 3, 7, 9, 21, 27, 63, 189 respectively.
Common factors of 279 and 189 are [1, 3, 9].
Hence, the GCF of 279 and 189 is 9.
How Many Factors of 279 are also common to the Factors of 275?
Since, the factors of 279 are 1, 3, 9, 31, 93, 279 and factors of 275 are 1, 5, 11, 25, 55, 275. Hence, 279 and 275 have only one common factor which is 1. Therefore, 279 and 275 are co-prime.
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