Factors of 642
Factors of 642 are integers that can be divided evenly into 642. It has a total of 8 factors of which 642 is the biggest factor and the positive factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. The Pair Factors of 642 are (1, 642), (2, 321), (3, 214), (6, 107) and its Prime Factors are 2 × 3 × 107.
- All Factors of 642: 1, 2, 3, 6, 107, 214, 321 and 642
- Negative Factors of 642: -1, -2, -3, -6, -107, -214, -321 and -642
- Prime Factors of 642: 2, 3, 107
- Prime Factorization of 642: 21 × 31 × 1071
- Sum of Factors of 642: 1296
1. | What Are the Factors of 642? |
2. | Factors of 642 by Prime Factorization |
3. | Factors of 642 in Pairs |
4. | FAQs on Factors of 642 |

What are Factors of 642?
Factors of 642 are pairs of those numbers whose products result in 642. These factors are either prime numbers or composite numbers.
How to Find the Factors of 642?
To find the factors of 642, we will have to find the list of numbers that would divide 642 without leaving any remainder.
- 642/214 = 3; therefore, 214 is a factor of 642 and 3 is also a factor of 642.
- 642/107 = 6; therefore, 107 is a factor of 642 and 6 is also a factor of 642.
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- Factors of 38 - The factors of 38 are 1, 2, 19, 38
- Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 642 by Prime Factorization
- 642 ÷ 2 = 321
Further dividing 321 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 321 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 642 can be written as 21 × 31 × 1071 where 2, 3, 107 are prime.
Factors of 642 in Pairs
Pair factors of 642 are the pairs of numbers that when multiplied give the product 642. The factors of 642 in pairs are:
- 1 × 642 = (1, 642)
- 2 × 321 = (2, 321)
- 3 × 214 = (3, 214)
- 6 × 107 = (6, 107)
Negative pair factors of 642 are:
- -1 × -642 = (-1, -642)
- -2 × -321 = (-2, -321)
- -3 × -214 = (-3, -214)
- -6 × -107 = (-6, -107)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 642 Solved Examples
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Example 1: How many factors are there for 642?
Solution:
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. Therefore, 642 has 8 factors.
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Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 642 and 432.
Solution:
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642 and factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432.
Therefore, the Least Common Multiple (LCM) of 642 and 432 is 46224 and Highest Common Factor (HCF) of 642 and 432 is 6. -
Example 3: Find if 1, 2, 6, 107 and 136 are factors of 642.
Solution:
When we divide 642 by 136 it leaves a remainder. Therefore, the number 136 is not a factor of 642. All numbers except 136 are factors of 642.
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Example 4: Find the product of all the prime factors of 642.
Solution:
Since, the prime factors of 642 are 2, 3, 107. Therefore, the product of prime factors = 2 × 3 × 107 = 642.
FAQs on Factors of 642
What are the Factors of 642?
The factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642 and its negative factors are -1, -2, -3, -6, -107, -214, -321, -642.
What is the Sum of all the Factors of 642?
Sum of all factors of 642 = (21 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (1071 + 1 - 1)/(107 - 1) = 1296
What are the Prime Factors of 642?
The prime factors of 642 are 2, 3, 107.
What is the Greatest Common Factor of 642 and 214?
The factors of 642 and 214 are 1, 2, 3, 6, 107, 214, 321, 642 and 1, 2, 107, 214 respectively.
Common factors of 642 and 214 are [1, 2, 107, 214].
Hence, the GCF of 642 and 214 is 214.
How Many Factors of 489 are also common to the Factors of 642?
Since, the factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642 and the factors of 489 are 1, 3, 163, 489.
Hence, [1, 3] are the common factors of 642 and 489.
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