Factors of 629 are numbers that, when multiplied in pairs give the product as 629. It has a total of 4 factors of which 629 is the biggest factor and the positive factors of 629 are 1, 17, 37, 629. The sum of all factors of 629 is 684. Its Prime Factors are 17 × 37 and (1, 629), (17, 37) are Pair Factors.

• All Factors of 629: 1, 17, 37 and 629
• Negative Factors of 629: -1, -17, -37 and -629
• Prime Factors of 629: 17, 37
• Prime Factorization of 629: 17¹ × 37¹
• Sum of Factors of 629: 684

1.	What Are the Factors of 629?
2.	Factors of 629 by Prime Factorization
3.	Factors of 629 in Pairs
4.	FAQs on Factors of 629

Factors of 629 are pairs of those numbers whose products result in 629. These factors are either prime numbers or composite numbers.

How to Find the Factors of 629?

To find the factors of 629, we will have to find the list of numbers that would divide 629 without leaving any remainder.

• 629/37 = 17; therefore, 37 is a factor of 629 and 17 is also a factor of 629.
• 629/629 = 1; therefore, 629 is a factor of 629 and 1 is also a factor of 629.

Similarly we can find other factors. Hence, the factors of 629 are 1, 17, 37, 629.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 9 - The factors of 9 are 1, 3, 9

The number 629 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 629. The first step is to divide the number 629 with the smallest prime factor, here it is 17. We keep dividing until it gives a non-zero remainder.

• 629 ÷ 17 = 37

Further dividing 37 by 17 gives a non-zero remainder. So we stop the process and continue dividing the number 37 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 629 can be written as 17¹ × 37¹ where 17, 37 are prime.

Pair factors of 629 are the pairs of numbers that when multiplied give the product 629. The factors of 629 in pairs are:

• 1 × 629 = (1, 629)
• 17 × 37 = (17, 37)

Negative pair factors of 629 are:

• -1 × -629 = (-1, -629)
• -17 × -37 = (-17, -37)

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