Factors of 646
Factors of 646 are the list of integers that can be evenly divided into 646. There are total 8 factors of 646 i.e. 1, 2, 17, 19, 34, 38, 323, 646. The Pair Factors of 646 are (1, 646), (2, 323), (17, 38), (19, 34) and its Prime Factors are 2 × 17 × 19.
- All Factors of 646: 1, 2, 17, 19, 34, 38, 323 and 646
- Negative Factors of 646: -1, -2, -17, -19, -34, -38, -323 and -646
- Prime Factors of 646: 2, 17, 19
- Prime Factorization of 646: 21 × 171 × 191
- Sum of Factors of 646: 1080
1. | What Are the Factors of 646? |
2. | Factors of 646 by Prime Factorization |
3. | Factors of 646 in Pairs |
4. | FAQs on Factors of 646 |

What are Factors of 646?
Factors of 646 are pairs of those numbers whose products result in 646. These factors are either prime numbers or composite numbers.
How to Find the Factors of 646?
To find the factors of 646, we will have to find the list of numbers that would divide 646 without leaving any remainder.
- 646/17 = 38; therefore, 17 is a factor of 646 and 38 is also a factor of 646.
- 646/34 = 19; therefore, 34 is a factor of 646 and 19 is also a factor of 646.
☛ Also Check:
- Factors of 121 - The factors of 121 are 1, 11, 121
- Factors of 51 - The factors of 51 are 1, 3, 17, 51
- Factors of 4 - The factors of 4 are 1, 2, 4
- Factors of 14 - The factors of 14 are 1, 2, 7, 14
- Factors of 39 - The factors of 39 are 1, 3, 13, 39
Factors of 646 by Prime Factorization
- 646 ÷ 2 = 323
Further dividing 323 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 323 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 646 can be written as 21 × 171 × 191 where 2, 17, 19 are prime.
Factors of 646 in Pairs
Pair factors of 646 are the pairs of numbers that when multiplied give the product 646. The factors of 646 in pairs are:
- 1 × 646 = (1, 646)
- 2 × 323 = (2, 323)
- 17 × 38 = (17, 38)
- 19 × 34 = (19, 34)
Negative pair factors of 646 are:
- -1 × -646 = (-1, -646)
- -2 × -323 = (-2, -323)
- -17 × -38 = (-17, -38)
- -19 × -34 = (-19, -34)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 646 Solved Examples
-
Example 1: How many factors are there for 646?
Solution:
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. Therefore, 646 has 8 factors.
-
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 646 and 479.
Solution:
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646 and factors of 479 are 1, 479.
Therefore, the Least Common Multiple of 646 and 479 is 309434 and Greatest Common Factor (GCF) of 646 and 479 is 1. -
Example 3: Find if 1, 11, 19, 323 and 646 are factors of 646.
Solution:
When we divide 646 by 11 it leaves a remainder. Therefore, the number 11 is not a factor of 646. All numbers except 11 are factors of 646.
-
Example 4: Find the product of all the prime factors of 646.
Solution:
Since, the prime factors of 646 are 2, 17, 19. Therefore, the product of prime factors = 2 × 17 × 19 = 646.
FAQs on Factors of 646
What are the Factors of 646?
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646 and its negative factors are -1, -2, -17, -19, -34, -38, -323, -646.
What is the Sum of the Factors of 646?
Sum of all factors of 646 = (21 + 1 - 1)/(2 - 1) × (171 + 1 - 1)/(17 - 1) × (191 + 1 - 1)/(19 - 1) = 1080
What are Pair Factors of 646?
The pair factors of 646 are (1, 646), (2, 323), (17, 38), (19, 34).
What is the Greatest Common Factor of 646 and 35?
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646 and the factors of 35 are 1, 5, 7, 35. 646 and 35 have only one common factor which is 1. This implies that 646 and 35 are co-prime.
Hence, the Greatest Common Factor (GCF) of 646 and 35 is 1.
How Many Factors of 646 are also Factors of 135?
Since, the factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646 and factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135. Hence, 646 and 135 have only one common factor which is 1. Therefore, 646 and 135 are co-prime.
visual curriculum