Factors of 9972 are integers that can be divided evenly into 9972. There are overall 18 factors of 9972 among which 9972 is the biggest factor and 2, 3, 277 are its prime factors. The sum of all factors of 9972 is 25298.

• All Factors of 9972: 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986 and 9972
• Prime Factors of 9972: 2, 3, 277
• Prime Factorization of 9972: 2² × 3² × 277¹
• Sum of Factors of 9972: 25298

1.	What Are the Factors of 9972?
2.	Factors of 9972 by Prime Factorization
3.	Factors of 9972 in Pairs
4.	FAQs on Factors of 9972

Factors of 9972 are pairs of those numbers whose products result in 9972. These factors are either prime numbers or composite numbers.

How to Find the Factors of 9972?

To find the factors of 9972, we will have to find the list of numbers that would divide 9972 without leaving any remainder.

• 9972/2493 = 4; therefore, 2493 is a factor of 9972 and 4 is also a factor of 9972.
• 9972/277 = 36; therefore, 277 is a factor of 9972 and 36 is also a factor of 9972.

Similarly we can find other factors. Hence, the factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 34 - The factors of 34 are 1, 2, 17, 34

The number 9972 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 9972. The first step is to divide the number 9972 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 9972 ÷ 2 = 4986
• 4986 ÷ 2 = 2493

Further dividing 2493 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 2493 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 9972 can be written as 2² × 3² × 277¹ where 2, 3, 277 are prime.

Pair factors of 9972 are the pairs of numbers that when multiplied give the product 9972. The factors of 9972 in pairs are:

• 1 × 9972 = (1, 9972)
• 2 × 4986 = (2, 4986)
• 3 × 3324 = (3, 3324)
• 4 × 2493 = (4, 2493)
• 6 × 1662 = (6, 1662)
• 9 × 1108 = (9, 1108)
• 12 × 831 = (12, 831)
• 18 × 554 = (18, 554)
• 36 × 277 = (36, 277)

Negative pair factors of 9972 are:

• -1 × -9972 = (-1, -9972)
• -2 × -4986 = (-2, -4986)
• -3 × -3324 = (-3, -3324)
• -4 × -2493 = (-4, -2493)
• -6 × -1662 = (-6, -1662)
• -9 × -1108 = (-9, -1108)
• -12 × -831 = (-12, -831)
• -18 × -554 = (-18, -554)
• -36 × -277 = (-36, -277)

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