Factors of 986 are the list of integers that we can split evenly into 986. There are 8 factors of 986 of which 986 itself is the biggest factor and its positive factors are 1, 2, 17, 29, 34, 58, 493, 986. The sum of all factors of 986 is 1620 and its factors in Pairs are (1, 986), (2, 493), (17, 58), (29, 34).

• All Factors of 986: 1, 2, 17, 29, 34, 58, 493 and 986
• Negative Factors of 986: -1, -2, -17, -29, -34, -58, -493 and -986
• Prime Factors of 986: 2, 17, 29
• Prime Factorization of 986: 2¹ × 17¹ × 29¹
• Sum of Factors of 986: 1620

1.	What Are the Factors of 986?
2.	Factors of 986 by Prime Factorization
3.	Factors of 986 in Pairs
4.	FAQs on Factors of 986

Factors of 986 are pairs of those numbers whose products result in 986. These factors are either prime numbers or composite numbers.

How to Find the Factors of 986?

To find the factors of 986, we will have to find the list of numbers that would divide 986 without leaving any remainder.

• 986/1 = 986; therefore, 1 is a factor of 986.
• 986/17 = 58; therefore, 17 is a factor of 986.

Similarly we can find other factors. Hence, the factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986.

☛ Also Check:

• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

The number 986 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 986. The first step is to divide the number 986 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 986 ÷ 2 = 493

Further dividing 493 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 493 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 986 can be written as 2¹ × 17¹ × 29¹ where 2, 17, 29 are prime.

Pair factors of 986 are the pairs of numbers that when multiplied give the product 986. The factors of 986 in pairs are:

• 1 × 986 = (1, 986)
• 2 × 493 = (2, 493)
• 17 × 58 = (17, 58)
• 29 × 34 = (29, 34)

Negative pair factors of 986 are:

• -1 × -986 = (-1, -986)
• -2 × -493 = (-2, -493)
• -17 × -58 = (-17, -58)
• -29 × -34 = (-29, -34)

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