Factors of 7500 are the list of integers that we can split evenly into 7500. There are overall 30 factors of 7500 among which 7500 is the biggest factor and its prime factors are 2, 3, 5. The Prime Factorization of 7500 is 2² × 3¹ × 5⁴.

• All Factors of 7500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750 and 7500
• Prime Factors of 7500: 2, 3, 5
• Prime Factorization of 7500: 2² × 3¹ × 5⁴
• Sum of Factors of 7500: 21868

1.	What Are the Factors of 7500?
2.	Factors of 7500 by Prime Factorization
3.	Factors of 7500 in Pairs
4.	FAQs on Factors of 7500

Factors of 7500 are pairs of those numbers whose products result in 7500. These factors are either prime numbers or composite numbers.

How to Find the Factors of 7500?

To find the factors of 7500, we will have to find the list of numbers that would divide 7500 without leaving any remainder.

• 7500/4 = 1875; therefore, 4 is a factor of 7500 and 1875 is also a factor of 7500.
• 7500/1500 = 5; therefore, 1500 is a factor of 7500 and 5 is also a factor of 7500.

Similarly we can find other factors. Hence, the factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.

☛ Also Check:

• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 29 - The factors of 29 are 1, 29
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 38 - The factors of 38 are 1, 2, 19, 38

The number 7500 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 7500. The first step is to divide the number 7500 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 7500 ÷ 2 = 3750
• 3750 ÷ 2 = 1875

Further dividing 1875 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 1875 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 7500 can be written as 2² × 3¹ × 5⁴ where 2, 3, 5 are prime.

Pair factors of 7500 are the pairs of numbers that when multiplied give the product 7500. The factors of 7500 in pairs are:

• 1 × 7500 = (1, 7500)
• 2 × 3750 = (2, 3750)
• 3 × 2500 = (3, 2500)
• 4 × 1875 = (4, 1875)
• 5 × 1500 = (5, 1500)
• 6 × 1250 = (6, 1250)
• 10 × 750 = (10, 750)
• 12 × 625 = (12, 625)
• 15 × 500 = (15, 500)
• 20 × 375 = (20, 375)
• 25 × 300 = (25, 300)
• 30 × 250 = (30, 250)
• 50 × 150 = (50, 150)
• 60 × 125 = (60, 125)
• 75 × 100 = (75, 100)

Negative pair factors of 7500 are:

• -1 × -7500 = (-1, -7500)
• -2 × -3750 = (-2, -3750)
• -3 × -2500 = (-3, -2500)
• -4 × -1875 = (-4, -1875)
• -5 × -1500 = (-5, -1500)
• -6 × -1250 = (-6, -1250)
• -10 × -750 = (-10, -750)
• -12 × -625 = (-12, -625)
• -15 × -500 = (-15, -500)
• -20 × -375 = (-20, -375)
• -25 × -300 = (-25, -300)
• -30 × -250 = (-30, -250)
• -50 × -150 = (-50, -150)
• -60 × -125 = (-60, -125)
• -75 × -100 = (-75, -100)

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