Factors of 639
Factors of 639 are the list of integers that can be evenly divided into 639. It has a total of 6 factors of which 639 is the biggest factor and the positive factors of 639 are 1, 3, 9, 71, 213, 639. The Prime Factors of 639 are 3 × 71 and its Factors in Pairs are (1, 639), (3, 213), (9, 71).
- All Factors of 639: 1, 3, 9, 71, 213 and 639
- Negative Factors of 639: -1, -3, -9, -71, -213 and -639
- Prime Factors of 639: 3, 71
- Prime Factorization of 639: 32 × 711
- Sum of Factors of 639: 936
1. | What Are the Factors of 639? |
2. | Factors of 639 by Prime Factorization |
3. | Factors of 639 in Pairs |
4. | FAQs on Factors of 639 |
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What are Factors of 639?
Factors of 639 are pairs of those numbers whose products result in 639. These factors are either prime numbers or composite numbers.
How to Find the Factors of 639?
To find the factors of 639, we will have to find the list of numbers that would divide 639 without leaving any remainder.
- 639/71 = 9; therefore, 71 is a factor of 639 and 9 is also a factor of 639.
- 639/213 = 3; therefore, 213 is a factor of 639 and 3 is also a factor of 639.
☛ Also Check:
- Factors of 22 - The factors of 22 are 1, 2, 11, 22
- Factors of 17 - The factors of 17 are 1, 17
- Factors of 91 - The factors of 91 are 1, 7, 13, 91
- Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
- Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 639 by Prime Factorization
- 639 ÷ 3 = 213
- 213 ÷ 3 = 71
Further dividing 71 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 71 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 639 can be written as 32 × 711 where 3, 71 are prime.
Factors of 639 in Pairs
Pair factors of 639 are the pairs of numbers that when multiplied give the product 639. The factors of 639 in pairs are:
- 1 × 639 = (1, 639)
- 3 × 213 = (3, 213)
- 9 × 71 = (9, 71)
Negative pair factors of 639 are:
- -1 × -639 = (-1, -639)
- -3 × -213 = (-3, -213)
- -9 × -71 = (-9, -71)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 639 Solved Examples
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Example 1: How many factors are there for 639?
Solution:
The factors of 639 are 1, 3, 9, 71, 213, 639. Therefore, 639 has 6 factors.
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Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Factor (GCF) of 639 and 447.
Solution:
The factors of 639 are 1, 3, 9, 71, 213, 639 and factors of 447 are 1, 3, 149, 447.
Therefore, the Lowest Common Multiple (LCM) of 639 and 447 is 95211 and Greatest Common Factor (GCF) of 639 and 447 is 3. -
Example 3: Find if 1, 41, 71 and 639 are factors of 639.
Solution:
When we divide 639 by 41 it leaves a remainder. Therefore, the number 41 is not a factor of 639. All numbers except 41 are factors of 639.
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Example 4: Find the product of all the prime factors of 639.
Solution:
Since, the prime factors of 639 are 3, 71. Therefore, the product of prime factors = 3 × 71 = 213.
FAQs on Factors of 639
What are the Factors of 639?
The factors of 639 are 1, 3, 9, 71, 213, 639 and its negative factors are -1, -3, -9, -71, -213, -639.
What is the Sum of Factors of 639?
Factors of 639 are 1, 3, 9, 71, 213, 639 and, the sum of all these factors is 1 + 3 + 9 + 71 + 213 + 639 = 936
What are the Prime Factors of 639?
The prime factors of 639 are 3, 71.
What is the Greatest Common Factor of 639 and 391?
The factors of 639 are 1, 3, 9, 71, 213, 639 and the factors of 391 are 1, 17, 23, 391. 639 and 391 have only one common factor which is 1. This implies that 639 and 391 are co-prime.
Hence, the Greatest Common Factor (GCF) of 639 and 391 is 1.
How Many Factors of 130 are also common to the Factors of 639?
Since, the factors of 639 are 1, 3, 9, 71, 213, 639 and factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. Hence, 639 and 130 have only one common factor which is 1. Therefore, 639 and 130 are co-prime.
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