Factors of 248 are integers that can be divided evenly into 248. There are overall 8 factors of 248 i.e. 1, 2, 4, 8, 31, 62, 124, 248 where 248 is the biggest factor. The sum of all factors of 248 is 480. Its Prime Factors are 2 × 31 and (1, 248), (2, 124), (4, 62), (8, 31) are Pair Factors.

• All Factors of 248: 1, 2, 4, 8, 31, 62, 124 and 248
• Negative Factors of 248: -1, -2, -4, -8, -31, -62, -124 and -248
• Prime Factors of 248: 2, 31
• Prime Factorization of 248: 2³ × 31¹
• Sum of Factors of 248: 480

1.	What Are the Factors of 248?
2.	Factors of 248 by Prime Factorization
3.	Factors of 248 in Pairs
4.	FAQs on Factors of 248

Factors of 248 are pairs of those numbers whose products result in 248. These factors are either prime numbers or composite numbers.

How to Find the Factors of 248?

To find the factors of 248, we will have to find the list of numbers that would divide 248 without leaving any remainder.

• 248/31 = 8; therefore, 31 is a factor of 248 and 8 is also a factor of 248.
• 248/2 = 124; therefore, 2 is a factor of 248 and 124 is also a factor of 248.

Similarly we can find other factors. Hence, the factors of 248 are 1, 2, 4, 8, 31, 62, 124, 248.

☛ Also Check:

• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 7 - The factors of 7 are 1, 7

The number 248 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 248. The first step is to divide the number 248 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 248 ÷ 2 = 124
• 124 ÷ 2 = 62
• 62 ÷ 2 = 31

Further dividing 31 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 31 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 248 can be written as 2³ × 31¹ where 2, 31 are prime.

Pair factors of 248 are the pairs of numbers that when multiplied give the product 248. The factors of 248 in pairs are:

• 1 × 248 = (1, 248)
• 2 × 124 = (2, 124)
• 4 × 62 = (4, 62)
• 8 × 31 = (8, 31)

Negative pair factors of 248 are:

• -1 × -248 = (-1, -248)
• -2 × -124 = (-2, -124)
• -4 × -62 = (-4, -62)
• -8 × -31 = (-8, -31)

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