Factors of 249 are the list of integers that we can split evenly into 249. It has a total of 4 factors of which 249 is the biggest factor and the positive factors of 249 are 1, 3, 83, 249. The Pair Factors of 249 are (1, 249), (3, 83) and its Prime Factors are 3 × 83.

• All Factors of 249: 1, 3, 83 and 249
• Negative Factors of 249: -1, -3, -83 and -249
• Prime Factors of 249: 3, 83
• Prime Factorization of 249: 3¹ × 83¹
• Sum of Factors of 249: 336

1.	What Are the Factors of 249?
2.	Factors of 249 by Prime Factorization
3.	Factors of 249 in Pairs
4.	FAQs on Factors of 249

Factors of 249 are pairs of those numbers whose products result in 249. These factors are either prime numbers or composite numbers.

How to Find the Factors of 249?

To find the factors of 249, we will have to find the list of numbers that would divide 249 without leaving any remainder.

• 249/83 = 3; therefore, 83 is a factor of 249 and 3 is also a factor of 249.
• 249/1 = 249; therefore, 1 is a factor of 249 and 249 is also a factor of 249.

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

☛ Also Check:

• 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 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32

The number 249 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 249. The first step is to divide the number 249 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 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 249 can be written as 3¹ × 83¹ where 3, 83 are prime.

Pair factors of 249 are the pairs of numbers that when multiplied give the product 249. The factors of 249 in pairs are:

• 1 × 249 = (1, 249)
• 3 × 83 = (3, 83)

Negative pair factors of 249 are:

• -1 × -249 = (-1, -249)
• -3 × -83 = (-3, -83)

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