Factors of 1248 are the list of integers that we can split evenly into 1248. It has total 24 factors of which 1248 is the biggest factor and the prime factors of 1248 are 2, 3, 13. The sum of all factors of 1248 is 3528.

• All Factors of 1248: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624 and 1248
• Prime Factors of 1248: 2, 3, 13
• Prime Factorization of 1248: 2⁵ × 3¹ × 13¹
• Sum of Factors of 1248: 3528

1.	What Are the Factors of 1248?
2.	Factors of 1248 by Prime Factorization
3.	Factors of 1248 in Pairs
4.	FAQs on Factors of 1248

Factors of 1248 are pairs of those numbers whose products result in 1248. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1248?

To find the factors of 1248, we will have to find the list of numbers that would divide 1248 without leaving any remainder.

• 1248/26 = 48; therefore, 26 is a factor of 1248 and 48 is also a factor of 1248.
• 1248/96 = 13; therefore, 96 is a factor of 1248 and 13 is also a factor of 1248.

Similarly we can find other factors. Hence, the factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248.

☛ Also Check:

• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 13 - The factors of 13 are 1, 13
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 9 - The factors of 9 are 1, 3, 9

The number 1248 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1248. The first step is to divide the number 1248 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1248 ÷ 2 = 624
• 624 ÷ 2 = 312
• 312 ÷ 2 = 156
• 156 ÷ 2 = 78
• 78 ÷ 2 = 39

Further dividing 39 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 39 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 1248 can be written as 2⁵ × 3¹ × 13¹ where 2, 3, 13 are prime.

Pair factors of 1248 are the pairs of numbers that when multiplied give the product 1248. The factors of 1248 in pairs are:

• 1 × 1248 = (1, 1248)
• 2 × 624 = (2, 624)
• 3 × 416 = (3, 416)
• 4 × 312 = (4, 312)
• 6 × 208 = (6, 208)
• 8 × 156 = (8, 156)
• 12 × 104 = (12, 104)
• 13 × 96 = (13, 96)
• 16 × 78 = (16, 78)
• 24 × 52 = (24, 52)
• 26 × 48 = (26, 48)
• 32 × 39 = (32, 39)

Negative pair factors of 1248 are:

• -1 × -1248 = (-1, -1248)
• -2 × -624 = (-2, -624)
• -3 × -416 = (-3, -416)
• -4 × -312 = (-4, -312)
• -6 × -208 = (-6, -208)
• -8 × -156 = (-8, -156)
• -12 × -104 = (-12, -104)
• -13 × -96 = (-13, -96)
• -16 × -78 = (-16, -78)
• -24 × -52 = (-24, -52)
• -26 × -48 = (-26, -48)
• -32 × -39 = (-32, -39)

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