Factors of 1331 are numbers that, when multiplied in pairs give the product as 1331. There are overall 4 factors of 1331 i.e. 1, 11, 121, 1331 where 1331 is the biggest factor. The sum of all factors of 1331 is 1464 and its factors in Pairs are (1, 1331), (11, 121).

• All Factors of 1331: 1, 11, 121 and 1331
• Negative Factors of 1331: -1, -11, -121 and -1331
• Prime Factors of 1331: 11
• Prime Factorization of 1331: 11³
• Sum of Factors of 1331: 1464

1.	What Are the Factors of 1331?
2.	Factors of 1331 by Prime Factorization
3.	Factors of 1331 in Pairs
4.	FAQs on Factors of 1331

Factors of 1331 are pairs of those numbers whose products result in 1331. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1331?

To find the factors of 1331, we will have to find the list of numbers that would divide 1331 without leaving any remainder.

• 1331/11 = 121; therefore, 11 is a factor of 1331 and 121 is also a factor of 1331.
• 1331/1 = 1331; therefore, 1 is a factor of 1331 and 1331 is also a factor of 1331.

Similarly we can find other factors. Hence, the factors of 1331 are 1, 11, 121, 1331.

☛ Also Check:

• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The number 1331 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1331. The first step is to divide the number 1331 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 1331 ÷ 11 = 121
• 121 ÷ 11 = 11
• 11 ÷ 11 = 1

Further dividing 1 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 1 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.

Since, we can't divide any further in this case so we stop.

So, the prime factorization of 1331 is 11³.

Pair factors of 1331 are the pairs of numbers that when multiplied give the product 1331. The factors of 1331 in pairs are:

• 1 × 1331 = (1, 1331)
• 11 × 121 = (11, 121)

Negative pair factors of 1331 are:

• -1 × -1331 = (-1, -1331)
• -11 × -121 = (-11, -121)

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