Factors of 1275 are the list of integers that we can split evenly into 1275. There are overall 12 factors of 1275 among which 1275 is the biggest factor and its prime factors are 3, 5, 17. The sum of all factors of 1275 is 2232.

• All Factors of 1275: 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425 and 1275
• Prime Factors of 1275: 3, 5, 17
• Prime Factorization of 1275: 3¹ × 5² × 17¹
• Sum of Factors of 1275: 2232

1.	What Are the Factors of 1275?
2.	Factors of 1275 by Prime Factorization
3.	Factors of 1275 in Pairs
4.	FAQs on Factors of 1275

Factors of 1275 are pairs of those numbers whose products result in 1275. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1275?

To find the factors of 1275, we will have to find the list of numbers that would divide 1275 without leaving any remainder.

• 1275/255 = 5; therefore, 255 is a factor of 1275 and 5 is also a factor of 1275.
• 1275/3 = 425; therefore, 3 is a factor of 1275 and 425 is also a factor of 1275.

Similarly we can find other factors. Hence, the factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275.

☛ Also Check:

• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 7 - The factors of 7 are 1, 7
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 26 - The factors of 26 are 1, 2, 13, 26

The number 1275 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1275. The first step is to divide the number 1275 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 1275 ÷ 3 = 425

Further dividing 425 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 425 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 1275 can be written as 3¹ × 5² × 17¹ where 3, 5, 17 are prime.

Pair factors of 1275 are the pairs of numbers that when multiplied give the product 1275. The factors of 1275 in pairs are:

• 1 × 1275 = (1, 1275)
• 3 × 425 = (3, 425)
• 5 × 255 = (5, 255)
• 15 × 85 = (15, 85)
• 17 × 75 = (17, 75)
• 25 × 51 = (25, 51)

Negative pair factors of 1275 are:

• -1 × -1275 = (-1, -1275)
• -3 × -425 = (-3, -425)
• -5 × -255 = (-5, -255)
• -15 × -85 = (-15, -85)
• -17 × -75 = (-17, -75)
• -25 × -51 = (-25, -51)

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