Factors of 984 are the list of integers that we can split evenly into 984. There are overall 16 factors of 984 among which 984 is the biggest factor and its prime factors are 2, 3, 41. The Prime Factorization of 984 is 2³ × 3¹ × 41¹.

• All Factors of 984: 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492 and 984
• Prime Factors of 984: 2, 3, 41
• Prime Factorization of 984: 2³ × 3¹ × 41¹
• Sum of Factors of 984: 2520

1.	What Are the Factors of 984?
2.	Factors of 984 by Prime Factorization
3.	Factors of 984 in Pairs
4.	FAQs on Factors of 984

Factors of 984 are pairs of those numbers whose products result in 984. These factors are either prime numbers or composite numbers.

How to Find the Factors of 984?

To find the factors of 984, we will have to find the list of numbers that would divide 984 without leaving any remainder.

• 984/24 = 41; therefore, 24 is a factor of 984 and 41 is also a factor of 984.
• 984/246 = 4; therefore, 246 is a factor of 984 and 4 is also a factor of 984.

Similarly we can find other factors. Hence, the factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984.

☛ Also Check:

• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 57 - The factors of 57 are 1, 3, 19, 57

The number 984 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 984. The first step is to divide the number 984 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 984 ÷ 2 = 492
• 492 ÷ 2 = 246
• 246 ÷ 2 = 123

Further dividing 123 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 123 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 984 can be written as 2³ × 3¹ × 41¹ where 2, 3, 41 are prime.

Pair factors of 984 are the pairs of numbers that when multiplied give the product 984. The factors of 984 in pairs are:

• 1 × 984 = (1, 984)
• 2 × 492 = (2, 492)
• 3 × 328 = (3, 328)
• 4 × 246 = (4, 246)
• 6 × 164 = (6, 164)
• 8 × 123 = (8, 123)
• 12 × 82 = (12, 82)
• 24 × 41 = (24, 41)

Negative pair factors of 984 are:

• -1 × -984 = (-1, -984)
• -2 × -492 = (-2, -492)
• -3 × -328 = (-3, -328)
• -4 × -246 = (-4, -246)
• -6 × -164 = (-6, -164)
• -8 × -123 = (-8, -123)
• -12 × -82 = (-12, -82)
• -24 × -41 = (-24, -41)

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