Factors of 253 are the list of integers that we can split evenly into 253. There are 4 factors of 253, which are 1, 11, 23, 253. Here, 253 is the biggest factor. The sum of all factors of 253 is 288. Its Prime Factors are 11 × 23 and (1, 253), (11, 23) are Pair Factors.

• All Factors of 253: 1, 11, 23 and 253
• Negative Factors of 253: -1, -11, -23 and -253
• Prime Factors of 253: 11, 23
• Prime Factorization of 253: 11¹ × 23¹
• Sum of Factors of 253: 288

1.	What Are the Factors of 253?
2.	Factors of 253 by Prime Factorization
3.	Factors of 253 in Pairs
4.	FAQs on Factors of 253

Factors of 253 are pairs of those numbers whose products result in 253. These factors are either prime numbers or composite numbers.

How to Find the Factors of 253?

To find the factors of 253, we will have to find the list of numbers that would divide 253 without leaving any remainder.

• 253/23 = 11; therefore, 23 is a factor of 253 and 11 is also a factor of 253.
• 253/1 = 253; therefore, 1 is a factor of 253 and 253 is also a factor of 253.

Similarly we can find other factors. Hence, the factors of 253 are 1, 11, 23, 253.

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The number 253 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 253. The first step is to divide the number 253 with the smallest prime factor, here it is 11. We keep dividing until it gives a non-zero remainder.

• 253 ÷ 11 = 23

Further dividing 23 by 11 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 253 can be written as 11¹ × 23¹ where 11, 23 are prime.

Pair factors of 253 are the pairs of numbers that when multiplied give the product 253. The factors of 253 in pairs are:

• 1 × 253 = (1, 253)
• 11 × 23 = (11, 23)

Negative pair factors of 253 are:

• -1 × -253 = (-1, -253)
• -11 × -23 = (-11, -23)

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