Factors of 2800 are numbers that, when multiplied in pairs give the product as 2800. There are 30 factors of 2800, of which the following are its prime factors 2, 5, 7. The sum of all factors of 2800 is 7688.

• All Factors of 2800: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400 and 2800
• Prime Factors of 2800: 2, 5, 7
• Prime Factorization of 2800: 2⁴ × 5² × 7¹
• Sum of Factors of 2800: 7688

1.	What Are the Factors of 2800?
2.	Factors of 2800 by Prime Factorization
3.	Factors of 2800 in Pairs
4.	FAQs on Factors of 2800

Factors of 2800 are pairs of those numbers whose products result in 2800. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2800?

To find the factors of 2800, we will have to find the list of numbers that would divide 2800 without leaving any remainder.

• 2800/400 = 7; therefore, 400 is a factor of 2800 and 7 is also a factor of 2800.
• 2800/4 = 700; therefore, 4 is a factor of 2800 and 700 is also a factor of 2800.

Similarly we can find other factors. Hence, the factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800.

☛ Also Check:

• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 4 - The factors of 4 are 1, 2, 4

The number 2800 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2800. The first step is to divide the number 2800 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2800 ÷ 2 = 1400
• 1400 ÷ 2 = 700
• 700 ÷ 2 = 350
• 350 ÷ 2 = 175

Further dividing 175 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 175 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 2800 can be written as 2⁴ × 5² × 7¹ where 2, 5, 7 are prime.

Pair factors of 2800 are the pairs of numbers that when multiplied give the product 2800. The factors of 2800 in pairs are:

• 1 × 2800 = (1, 2800)
• 2 × 1400 = (2, 1400)
• 4 × 700 = (4, 700)
• 5 × 560 = (5, 560)
• 7 × 400 = (7, 400)
• 8 × 350 = (8, 350)
• 10 × 280 = (10, 280)
• 14 × 200 = (14, 200)
• 16 × 175 = (16, 175)
• 20 × 140 = (20, 140)
• 25 × 112 = (25, 112)
• 28 × 100 = (28, 100)
• 35 × 80 = (35, 80)
• 40 × 70 = (40, 70)
• 50 × 56 = (50, 56)

Negative pair factors of 2800 are:

• -1 × -2800 = (-1, -2800)
• -2 × -1400 = (-2, -1400)
• -4 × -700 = (-4, -700)
• -5 × -560 = (-5, -560)
• -7 × -400 = (-7, -400)
• -8 × -350 = (-8, -350)
• -10 × -280 = (-10, -280)
• -14 × -200 = (-14, -200)
• -16 × -175 = (-16, -175)
• -20 × -140 = (-20, -140)
• -25 × -112 = (-25, -112)
• -28 × -100 = (-28, -100)
• -35 × -80 = (-35, -80)
• -40 × -70 = (-40, -70)
• -50 × -56 = (-50, -56)

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