Factors of 682 are integers that can be divided evenly into 682. There are overall 8 factors of 682 i.e. 1, 2, 11, 22, 31, 62, 341, 682 where 682 is the biggest factor. The Pair Factors of 682 are (1, 682), (2, 341), (11, 62), (22, 31) and its Prime Factors are 2 × 11 × 31.

• All Factors of 682: 1, 2, 11, 22, 31, 62, 341 and 682
• Negative Factors of 682: -1, -2, -11, -22, -31, -62, -341 and -682
• Prime Factors of 682: 2, 11, 31
• Prime Factorization of 682: 2¹ × 11¹ × 31¹
• Sum of Factors of 682: 1152

1.	What Are the Factors of 682?
2.	Factors of 682 by Prime Factorization
3.	Factors of 682 in Pairs
4.	FAQs on Factors of 682

Factors of 682 are pairs of those numbers whose products result in 682. These factors are either prime numbers or composite numbers.

How to Find the Factors of 682?

To find the factors of 682, we will have to find the list of numbers that would divide 682 without leaving any remainder.

• 682/1 = 682; therefore, 1 is a factor of 682.
• 682/31 = 22; therefore, 31 is a factor of 682.

Similarly we can find other factors. Hence, the factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682.

☛ Also Check:

• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 54 - The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 22 - The factors of 22 are 1, 2, 11, 22

The number 682 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 682. The first step is to divide the number 682 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 682 ÷ 2 = 341

Further dividing 341 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 341 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 682 can be written as 2¹ × 11¹ × 31¹ where 2, 11, 31 are prime.

Pair factors of 682 are the pairs of numbers that when multiplied give the product 682. The factors of 682 in pairs are:

• 1 × 682 = (1, 682)
• 2 × 341 = (2, 341)
• 11 × 62 = (11, 62)
• 22 × 31 = (22, 31)

Negative pair factors of 682 are:

• -1 × -682 = (-1, -682)
• -2 × -341 = (-2, -341)
• -11 × -62 = (-11, -62)
• -22 × -31 = (-22, -31)

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