Factors of 5600 are the list of integers that can be evenly divided into 5600. There are 36 factors of 5600, of which the following are its prime factors 2, 5, 7. The Prime Factorization of 5600 is 2⁵ × 5² × 7¹.

• All Factors of 5600: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800 and 5600
• Prime Factors of 5600: 2, 5, 7
• Prime Factorization of 5600: 2⁵ × 5² × 7¹
• Sum of Factors of 5600: 15624

1.	What Are the Factors of 5600?
2.	Factors of 5600 by Prime Factorization
3.	Factors of 5600 in Pairs
4.	FAQs on Factors of 5600

Factors of 5600 are pairs of those numbers whose products result in 5600. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5600?

To find the factors of 5600, we will have to find the list of numbers that would divide 5600 without leaving any remainder.

• 5600/160 = 35; therefore, 160 is a factor of 5600 and 35 is also a factor of 5600.
• 5600/280 = 20; therefore, 280 is a factor of 5600 and 20 is also a factor of 5600.

Similarly we can find other factors. Hence, the factors of 5600 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 350, 400, 560, 700, 800, 1120, 1400, 2800, 5600.

☛ Also Check:

• Factors of 37 - The factors of 37 are 1, 37
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 25 - The factors of 25 are 1, 5, 25
• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 5600 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5600. The first step is to divide the number 5600 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 5600 ÷ 2 = 2800
• 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 5600 can be written as 2⁵ × 5² × 7¹ where 2, 5, 7 are prime.

Pair factors of 5600 are the pairs of numbers that when multiplied give the product 5600. The factors of 5600 in pairs are:

• 1 × 5600 = (1, 5600)
• 2 × 2800 = (2, 2800)
• 4 × 1400 = (4, 1400)
• 5 × 1120 = (5, 1120)
• 7 × 800 = (7, 800)
• 8 × 700 = (8, 700)
• 10 × 560 = (10, 560)
• 14 × 400 = (14, 400)
• 16 × 350 = (16, 350)
• 20 × 280 = (20, 280)
• 25 × 224 = (25, 224)
• 28 × 200 = (28, 200)
• 32 × 175 = (32, 175)
• 35 × 160 = (35, 160)
• 40 × 140 = (40, 140)
• 50 × 112 = (50, 112)
• 56 × 100 = (56, 100)
• 70 × 80 = (70, 80)

Negative pair factors of 5600 are:

• -1 × -5600 = (-1, -5600)
• -2 × -2800 = (-2, -2800)
• -4 × -1400 = (-4, -1400)
• -5 × -1120 = (-5, -1120)
• -7 × -800 = (-7, -800)
• -8 × -700 = (-8, -700)
• -10 × -560 = (-10, -560)
• -14 × -400 = (-14, -400)
• -16 × -350 = (-16, -350)
• -20 × -280 = (-20, -280)
• -25 × -224 = (-25, -224)
• -28 × -200 = (-28, -200)
• -32 × -175 = (-32, -175)
• -35 × -160 = (-35, -160)
• -40 × -140 = (-40, -140)
• -50 × -112 = (-50, -112)
• -56 × -100 = (-56, -100)
• -70 × -80 = (-70, -80)

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