Factors of 689 are the list of integers that we can split evenly into 689. There are overall 4 factors of 689 among which 689 is the biggest factor and its positive factors are 1, 13, 53, 689. The sum of all factors of 689 is 756. Its Prime Factors are 13 × 53 and (1, 689), (13, 53) are Pair Factors.

• All Factors of 689: 1, 13, 53 and 689
• Negative Factors of 689: -1, -13, -53 and -689
• Prime Factors of 689: 13, 53
• Prime Factorization of 689: 13¹ × 53¹
• Sum of Factors of 689: 756

1.	What Are the Factors of 689?
2.	Factors of 689 by Prime Factorization
3.	Factors of 689 in Pairs
4.	FAQs on Factors of 689

Factors of 689 are pairs of those numbers whose products result in 689. These factors are either prime numbers or composite numbers.

How to Find the Factors of 689?

To find the factors of 689, we will have to find the list of numbers that would divide 689 without leaving any remainder.

• 689/53 = 13; therefore, 53 is a factor of 689 and 13 is also a factor of 689.
• 689/1 = 689; therefore, 1 is a factor of 689 and 689 is also a factor of 689.

Similarly we can find other factors. Hence, the factors of 689 are 1, 13, 53, 689.

☛ Also Check:

• Factors of 5 - The factors of 5 are 1, 5
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The number 689 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 689. The first step is to divide the number 689 with the smallest prime factor, here it is 13. We keep dividing until it gives a non-zero remainder.

• 689 ÷ 13 = 53

Further dividing 53 by 13 gives a non-zero remainder. So we stop the process and continue dividing the number 53 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 689 can be written as 13¹ × 53¹ where 13, 53 are prime.

Pair factors of 689 are the pairs of numbers that when multiplied give the product 689. The factors of 689 in pairs are:

• 1 × 689 = (1, 689)
• 13 × 53 = (13, 53)

Negative pair factors of 689 are:

• -1 × -689 = (-1, -689)
• -13 × -53 = (-13, -53)

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