Factors of 2241 are the list of integers that we can split evenly into 2241. There are 8 factors of 2241 of which 2241 itself is the biggest factor and its positive factors are 1, 3, 9, 27, 83, 249, 747, 2241. The Prime Factors and Pair Factors of 2241 are 3 × 83 and (1, 2241), (3, 747), (9, 249), (27, 83) respectively.

• All Factors of 2241: 1, 3, 9, 27, 83, 249, 747 and 2241
• Negative Factors of 2241: -1, -3, -9, -27, -83, -249, -747 and -2241
• Prime Factors of 2241: 3, 83
• Prime Factorization of 2241: 3³ × 83¹
• Sum of Factors of 2241: 3360

1.	What Are the Factors of 2241?
2.	Factors of 2241 by Prime Factorization
3.	Factors of 2241 in Pairs
4.	FAQs on Factors of 2241

Factors of 2241 are pairs of those numbers whose products result in 2241. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2241?

To find the factors of 2241, we will have to find the list of numbers that would divide 2241 without leaving any remainder.

• 2241/1 = 2241; therefore, 1 is a factor of 2241.
• 2241/27 = 83; therefore, 27 is a factor of 2241.

Similarly we can find other factors. Hence, the factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241.

☛ Also Check:

• Factors of 5 - The factors of 5 are 1, 5
• Factors of 38 - The factors of 38 are 1, 2, 19, 38
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• 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

The number 2241 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2241. The first step is to divide the number 2241 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 2241 ÷ 3 = 747
• 747 ÷ 3 = 249
• 249 ÷ 3 = 83

Further dividing 83 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 83 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 2241 can be written as 3³ × 83¹ where 3, 83 are prime.

Pair factors of 2241 are the pairs of numbers that when multiplied give the product 2241. The factors of 2241 in pairs are:

• 1 × 2241 = (1, 2241)
• 3 × 747 = (3, 747)
• 9 × 249 = (9, 249)
• 27 × 83 = (27, 83)

Negative pair factors of 2241 are:

• -1 × -2241 = (-1, -2241)
• -3 × -747 = (-3, -747)
• -9 × -249 = (-9, -249)
• -27 × -83 = (-27, -83)

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