Factors of 2600 are the list of integers that we can split evenly into 2600. There are overall 24 factors of 2600 among which 2600 is the biggest factor and 2, 5, 13 are its prime factors. The sum of all factors of 2600 is 6510.

• All Factors of 2600: 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300 and 2600
• Prime Factors of 2600: 2, 5, 13
• Prime Factorization of 2600: 2³ × 5² × 13¹
• Sum of Factors of 2600: 6510

1.	What Are the Factors of 2600?
2.	Factors of 2600 by Prime Factorization
3.	Factors of 2600 in Pairs
4.	FAQs on Factors of 2600

Factors of 2600 are pairs of those numbers whose products result in 2600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2600?

To find the factors of 2600, we will have to find the list of numbers that would divide 2600 without leaving any remainder.

• 2600/5 = 520; therefore, 5 is a factor of 2600 and 520 is also a factor of 2600.
• 2600/1300 = 2; therefore, 1300 is a factor of 2600 and 2 is also a factor of 2600.

Similarly we can find other factors. Hence, the factors of 2600 are 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 40, 50, 52, 65, 100, 104, 130, 200, 260, 325, 520, 650, 1300, 2600.

☛ Also Check:

• Factors of 17 - The factors of 17 are 1, 17
• Factors of 15 - The factors of 15 are 1, 3, 5, 15
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 27 - The factors of 27 are 1, 3, 9, 27

The number 2600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2600. The first step is to divide the number 2600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2600 ÷ 2 = 1300
• 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 2600 can be written as 2³ × 5² × 13¹ where 2, 5, 13 are prime.

Pair factors of 2600 are the pairs of numbers that when multiplied give the product 2600. The factors of 2600 in pairs are:

• 1 × 2600 = (1, 2600)
• 2 × 1300 = (2, 1300)
• 4 × 650 = (4, 650)
• 5 × 520 = (5, 520)
• 8 × 325 = (8, 325)
• 10 × 260 = (10, 260)
• 13 × 200 = (13, 200)
• 20 × 130 = (20, 130)
• 25 × 104 = (25, 104)
• 26 × 100 = (26, 100)
• 40 × 65 = (40, 65)
• 50 × 52 = (50, 52)

Negative pair factors of 2600 are:

• -1 × -2600 = (-1, -2600)
• -2 × -1300 = (-2, -1300)
• -4 × -650 = (-4, -650)
• -5 × -520 = (-5, -520)
• -8 × -325 = (-8, -325)
• -10 × -260 = (-10, -260)
• -13 × -200 = (-13, -200)
• -20 × -130 = (-20, -130)
• -25 × -104 = (-25, -104)
• -26 × -100 = (-26, -100)
• -40 × -65 = (-40, -65)
• -50 × -52 = (-50, -52)

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