Factors of 1300 are the list of integers that can be evenly divided into 1300. It has total 18 factors of which 1300 is the biggest factor and the prime factors of 1300 are 2, 5, 13. The sum of all factors of 1300 is 3038.

• All Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650 and 1300
• Prime Factors of 1300: 2, 5, 13
• Prime Factorization of 1300: 2² × 5² × 13¹
• Sum of Factors of 1300: 3038

1.	What Are the Factors of 1300?
2.	Factors of 1300 by Prime Factorization
3.	Factors of 1300 in Pairs
4.	FAQs on Factors of 1300

Factors of 1300 are pairs of those numbers whose products result in 1300. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1300?

To find the factors of 1300, we will have to find the list of numbers that would divide 1300 without leaving any remainder.

• 1300/5 = 260; therefore, 5 is a factor of 1300 and 260 is also a factor of 1300.
• 1300/50 = 26; therefore, 50 is a factor of 1300 and 26 is also a factor of 1300.

Similarly we can find other factors. Hence, the factors of 1300 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325, 650, 1300.

☛ Also Check:

• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 7 - The factors of 7 are 1, 7

The number 1300 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1300. The first step is to divide the number 1300 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1300 ÷ 2 = 650
• 650 ÷ 2 = 325

Further dividing 325 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 325 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 1300 can be written as 2² × 5² × 13¹ where 2, 5, 13 are prime.

Pair factors of 1300 are the pairs of numbers that when multiplied give the product 1300. The factors of 1300 in pairs are:

• 1 × 1300 = (1, 1300)
• 2 × 650 = (2, 650)
• 4 × 325 = (4, 325)
• 5 × 260 = (5, 260)
• 10 × 130 = (10, 130)
• 13 × 100 = (13, 100)
• 20 × 65 = (20, 65)
• 25 × 52 = (25, 52)
• 26 × 50 = (26, 50)

Negative pair factors of 1300 are:

• -1 × -1300 = (-1, -1300)
• -2 × -650 = (-2, -650)
• -4 × -325 = (-4, -325)
• -5 × -260 = (-5, -260)
• -10 × -130 = (-10, -130)
• -13 × -100 = (-13, -100)
• -20 × -65 = (-20, -65)
• -25 × -52 = (-25, -52)
• -26 × -50 = (-26, -50)

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