Factors of 644 are the list of integers that can be evenly divided into 644. It has total 12 factors of which 644 is the biggest factor and the prime factors of 644 are 2, 7, 23. The sum of all factors of 644 is 1344.

• All Factors of 644: 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322 and 644
• Prime Factors of 644: 2, 7, 23
• Prime Factorization of 644: 2² × 7¹ × 23¹
• Sum of Factors of 644: 1344

1.	What Are the Factors of 644?
2.	Factors of 644 by Prime Factorization
3.	Factors of 644 in Pairs
4.	FAQs on Factors of 644

Factors of 644 are pairs of those numbers whose products result in 644. These factors are either prime numbers or composite numbers.

How to Find the Factors of 644?

To find the factors of 644, we will have to find the list of numbers that would divide 644 without leaving any remainder.

• 644/322 = 2; therefore, 322 is a factor of 644 and 2 is also a factor of 644.
• 644/14 = 46; therefore, 14 is a factor of 644 and 46 is also a factor of 644.

Similarly we can find other factors. Hence, the factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644.

☛ Also Check:

• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 9 - The factors of 9 are 1, 3, 9
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 16 - The factors of 16 are 1, 2, 4, 8, 16
• Factors of 5 - The factors of 5 are 1, 5

The number 644 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 644. The first step is to divide the number 644 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 644 ÷ 2 = 322
• 322 ÷ 2 = 161

Further dividing 161 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 161 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 644 can be written as 2² × 7¹ × 23¹ where 2, 7, 23 are prime.

Pair factors of 644 are the pairs of numbers that when multiplied give the product 644. The factors of 644 in pairs are:

• 1 × 644 = (1, 644)
• 2 × 322 = (2, 322)
• 4 × 161 = (4, 161)
• 7 × 92 = (7, 92)
• 14 × 46 = (14, 46)
• 23 × 28 = (23, 28)

Negative pair factors of 644 are:

• -1 × -644 = (-1, -644)
• -2 × -322 = (-2, -322)
• -4 × -161 = (-4, -161)
• -7 × -92 = (-7, -92)
• -14 × -46 = (-14, -46)
• -23 × -28 = (-23, -28)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.