Factors of 640
Factors of 640 are the list of integers that we can split evenly into 640. There are 16 factors of 640 of which 640 itself is the biggest factor and its prime factors are 2, 5 The sum of all factors of 640 is 1530.
 All Factors of 640: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320 and 640
 Prime Factors of 640: 2, 5
 Prime Factorization of 640: 2^{7} × 5^{1}
 Sum of Factors of 640: 1530
1.  What Are the Factors of 640? 
2.  Factors of 640 by Prime Factorization 
3.  Factors of 640 in Pairs 
4.  FAQs on Factors of 640 
What are Factors of 640?
Factors of 640 are pairs of those numbers whose products result in 640. These factors are either prime numbers or composite numbers.
How to Find the Factors of 640?
To find the factors of 640, we will have to find the list of numbers that would divide 640 without leaving any remainder.
 640/320 = 2; therefore, 320 is a factor of 640 and 2 is also a factor of 640.
 640/64 = 10; therefore, 64 is a factor of 640 and 10 is also a factor of 640.
☛ Also Check:
 Factors of 11  The factors of 11 are 1, 11
 Factors of 8  The factors of 8 are 1, 2, 4, 8
 Factors of 65  The factors of 65 are 1, 5, 13, 65
 Factors of 33  The factors of 33 are 1, 3, 11, 33
 Factors of 49  The factors of 49 are 1, 7, 49
Factors of 640 by Prime Factorization
 640 ÷ 2 = 320
 320 ÷ 2 = 160
 160 ÷ 2 = 80
 80 ÷ 2 = 40
 40 ÷ 2 = 20
 20 ÷ 2 = 10
 10 ÷ 2 = 5
Further dividing 5 by 2 gives a nonzero remainder. So we stop the process and continue dividing the number 5 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 640 can be written as 2^{7} × 5^{1} where 2, 5 are prime.
Factors of 640 in Pairs
Pair factors of 640 are the pairs of numbers that when multiplied give the product 640. The factors of 640 in pairs are:
 1 × 640 = (1, 640)
 2 × 320 = (2, 320)
 4 × 160 = (4, 160)
 5 × 128 = (5, 128)
 8 × 80 = (8, 80)
 10 × 64 = (10, 64)
 16 × 40 = (16, 40)
 20 × 32 = (20, 32)
Negative pair factors of 640 are:
 1 × 640 = (1, 640)
 2 × 320 = (2, 320)
 4 × 160 = (4, 160)
 5 × 128 = (5, 128)
 8 × 80 = (8, 80)
 10 × 64 = (10, 64)
 16 × 40 = (16, 40)
 20 × 32 = (20, 32)
NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.
Factors of 640 Solved Examples

Example 1: How many factors are there for 640?
Solution:
The factors of 640 are too many, therefore if we can find the prime factorization of 640, then the total number of factors can be calculated using the formula shown below.
If the prime factorization of the number is a^{x} × b^{y} × c^{z} where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).
Prime Factorization of 640 = 2^{7} × 5^{1}
Therefore, the total number of factors are (7 + 1) × (1 + 1) = 8 × 2 = 16 
Example 2: Find the Least Common Multiple and Highest Common Factor (HCF) of 640 and 124.
Solution:
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640 and factors of 124 are 1, 2, 4, 31, 62, 124.
Therefore, the Least Common Multiple of 640 and 124 is 19840 and Highest Common Factor (HCF) of 640 and 124 is 4. 
Example 3: Find if 2, 4, 5, 10, 64, 80, 128 and 202 are factors of 640.
Solution:
When we divide 640 by 202 it leaves a remainder. Therefore, the number 202 is not a factor of 640. All numbers except 202 are factors of 640.

Example 4: Find the product of all the prime factors of 640.
Solution:
Since, the prime factors of 640 are 2, 5. Therefore, the product of prime factors = 2 × 5 = 10.
FAQs on Factors of 640
What are the Factors of 640?
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640 and its negative factors are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640.
What is the Sum of all Factors of 640?
Sum of all factors of 640 = (2^{7 + 1}  1)/(2  1) × (5^{1 + 1}  1)/(5  1) = 1530
What are Prime Factors of 640?
The prime factors of 640 are 2, 5.
What is the Greatest Common Factor of 640 and 452?
The factors of 640 and 452 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640 and 1, 2, 4, 113, 226, 452 respectively.
Common factors of 640 and 452 are [1, 2, 4].
Hence, the GCF of 640 and 452 is 4.
How Many Factors of 68 are also common to the Factors of 640?
Since, the factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640 and the factors of 68 are 1, 2, 4, 17, 34, 68.
Hence, [1, 2, 4] are the common factors of 640 and 68.
visual curriculum