Factors of 261 are numbers that, when multiplied in pairs give the product as 261. It has a total of 6 factors of which 261 is the biggest factor and the positive factors of 261 are 1, 3, 9, 29, 87, 261. The Prime Factors of 261 are 3 × 29 and its Factors in Pairs are (1, 261), (3, 87), (9, 29).

• All Factors of 261: 1, 3, 9, 29, 87 and 261
• Negative Factors of 261: -1, -3, -9, -29, -87 and -261
• Prime Factors of 261: 3, 29
• Prime Factorization of 261: 3² × 29¹
• Sum of Factors of 261: 390

1.	What Are the Factors of 261?
2.	Factors of 261 by Prime Factorization
3.	Factors of 261 in Pairs
4.	FAQs on Factors of 261

Factors of 261 are pairs of those numbers whose products result in 261. These factors are either prime numbers or composite numbers.

How to Find the Factors of 261?

To find the factors of 261, we will have to find the list of numbers that would divide 261 without leaving any remainder.

• 261/1 = 261; therefore, 1 is a factor of 261.
• 261/87 = 3; therefore, 87 is a factor of 261.

Similarly we can find other factors. Hence, the factors of 261 are 1, 3, 9, 29, 87, 261.

☛ Also Check:

• Factors of 17 - The factors of 17 are 1, 17
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 10 - The factors of 10 are 1, 2, 5, 10

The number 261 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 261. The first step is to divide the number 261 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 261 ÷ 3 = 87
• 87 ÷ 3 = 29

Further dividing 29 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 29 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 261 can be written as 3² × 29¹ where 3, 29 are prime.

Pair factors of 261 are the pairs of numbers that when multiplied give the product 261. The factors of 261 in pairs are:

• 1 × 261 = (1, 261)
• 3 × 87 = (3, 87)
• 9 × 29 = (9, 29)

Negative pair factors of 261 are:

• -1 × -261 = (-1, -261)
• -3 × -87 = (-3, -87)
• -9 × -29 = (-9, -29)

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