Factors of 987 are the list of integers that we can split evenly into 987. There are overall 8 factors of 987 among which 987 is the biggest factor and 1, 3, 7, 21, 47, 141, 329, 987 are positive factors. The Pair Factors of 987 are (1, 987), (3, 329), (7, 141), (21, 47) and its Prime Factors are 3 × 7 × 47.

• All Factors of 987: 1, 3, 7, 21, 47, 141, 329 and 987
• Negative Factors of 987: -1, -3, -7, -21, -47, -141, -329 and -987
• Prime Factors of 987: 3, 7, 47
• Prime Factorization of 987: 3¹ × 7¹ × 47¹
• Sum of Factors of 987: 1536

1.	What Are the Factors of 987?
2.	Factors of 987 by Prime Factorization
3.	Factors of 987 in Pairs
4.	FAQs on Factors of 987

Factors of 987 are pairs of those numbers whose products result in 987. These factors are either prime numbers or composite numbers.

How to Find the Factors of 987?

To find the factors of 987, we will have to find the list of numbers that would divide 987 without leaving any remainder.

• 987/3 = 329; therefore, 3 is a factor of 987 and 329 is also a factor of 987.
• 987/141 = 7; therefore, 141 is a factor of 987 and 7 is also a factor of 987.

Similarly we can find other factors. Hence, the factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987.

☛ Also Check:

• Factors of 4 - The factors of 4 are 1, 2, 4
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 6 - The factors of 6 are 1, 2, 3, 6
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81

The number 987 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 987. The first step is to divide the number 987 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 987 ÷ 3 = 329

Further dividing 329 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 329 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 987 can be written as 3¹ × 7¹ × 47¹ where 3, 7, 47 are prime.

Pair factors of 987 are the pairs of numbers that when multiplied give the product 987. The factors of 987 in pairs are:

• 1 × 987 = (1, 987)
• 3 × 329 = (3, 329)
• 7 × 141 = (7, 141)
• 21 × 47 = (21, 47)

Negative pair factors of 987 are:

• -1 × -987 = (-1, -987)
• -3 × -329 = (-3, -329)
• -7 × -141 = (-7, -141)
• -21 × -47 = (-21, -47)

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