Factors of 297 are the list of integers that we can split evenly into 297. There are 8 factors of 297, which are 1, 3, 9, 11, 27, 33, 99, 297. Here, 297 is the biggest factor. The Prime Factors and Pair Factors of 297 are 3 × 11 and (1, 297), (3, 99), (9, 33), (11, 27) respectively.

• All Factors of 297: 1, 3, 9, 11, 27, 33, 99 and 297
• Negative Factors of 297: -1, -3, -9, -11, -27, -33, -99 and -297
• Prime Factors of 297: 3, 11
• Prime Factorization of 297: 3³ × 11¹
• Sum of Factors of 297: 480

1.	What Are the Factors of 297?
2.	Factors of 297 by Prime Factorization
3.	Factors of 297 in Pairs
4.	FAQs on Factors of 297

Factors of 297 are pairs of those numbers whose products result in 297. These factors are either prime numbers or composite numbers.

How to Find the Factors of 297?

To find the factors of 297, we will have to find the list of numbers that would divide 297 without leaving any remainder.

• 297/1 = 297; therefore, 1 is a factor of 297.
• 297/11 = 27; therefore, 11 is a factor of 297.

Similarly we can find other factors. Hence, the factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297.

☛ Also Check:

• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The number 297 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 297. The first step is to divide the number 297 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 297 ÷ 3 = 99
• 99 ÷ 3 = 33
• 33 ÷ 3 = 11

Further dividing 11 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 297 can be written as 3³ × 11¹ where 3, 11 are prime.

Pair factors of 297 are the pairs of numbers that when multiplied give the product 297. The factors of 297 in pairs are:

• 1 × 297 = (1, 297)
• 3 × 99 = (3, 99)
• 9 × 33 = (9, 33)
• 11 × 27 = (11, 27)

Negative pair factors of 297 are:

• -1 × -297 = (-1, -297)
• -3 × -99 = (-3, -99)
• -9 × -33 = (-9, -33)
• -11 × -27 = (-11, -27)

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