Factors of 4800 are the list of integers that can be evenly divided into 4800. There are overall 42 factors of 4800 among which 4800 is the biggest factor and its prime factors are 2, 3, 5. The Prime Factorization of 4800 is 2⁶ × 3¹ × 5².

• All Factors of 4800: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400 and 4800
• Prime Factors of 4800: 2, 3, 5
• Prime Factorization of 4800: 2⁶ × 3¹ × 5²
• Sum of Factors of 4800: 15748

1.	What Are the Factors of 4800?
2.	Factors of 4800 by Prime Factorization
3.	Factors of 4800 in Pairs
4.	FAQs on Factors of 4800

Factors of 4800 are pairs of those numbers whose products result in 4800. These factors are either prime numbers or composite numbers.

How to Find the Factors of 4800?

To find the factors of 4800, we will have to find the list of numbers that would divide 4800 without leaving any remainder.

• 4800/120 = 40; therefore, 120 is a factor of 4800 and 40 is also a factor of 4800.
• 4800/25 = 192; therefore, 25 is a factor of 4800 and 192 is also a factor of 4800.

Similarly we can find other factors. Hence, the factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 39 - The factors of 39 are 1, 3, 13, 39
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 34 - The factors of 34 are 1, 2, 17, 34
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40

The number 4800 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 4800. The first step is to divide the number 4800 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 4800 ÷ 2 = 2400
• 2400 ÷ 2 = 1200
• 1200 ÷ 2 = 600
• 600 ÷ 2 = 300
• 300 ÷ 2 = 150
• 150 ÷ 2 = 75

Further dividing 75 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 75 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 4800 can be written as 2⁶ × 3¹ × 5² where 2, 3, 5 are prime.

Pair factors of 4800 are the pairs of numbers that when multiplied give the product 4800. The factors of 4800 in pairs are:

• 1 × 4800 = (1, 4800)
• 2 × 2400 = (2, 2400)
• 3 × 1600 = (3, 1600)
• 4 × 1200 = (4, 1200)
• 5 × 960 = (5, 960)
• 6 × 800 = (6, 800)
• 8 × 600 = (8, 600)
• 10 × 480 = (10, 480)
• 12 × 400 = (12, 400)
• 15 × 320 = (15, 320)
• 16 × 300 = (16, 300)
• 20 × 240 = (20, 240)
• 24 × 200 = (24, 200)
• 25 × 192 = (25, 192)
• 30 × 160 = (30, 160)
• 32 × 150 = (32, 150)
• 40 × 120 = (40, 120)
• 48 × 100 = (48, 100)
• 50 × 96 = (50, 96)
• 60 × 80 = (60, 80)
• 64 × 75 = (64, 75)

Negative pair factors of 4800 are:

• -1 × -4800 = (-1, -4800)
• -2 × -2400 = (-2, -2400)
• -3 × -1600 = (-3, -1600)
• -4 × -1200 = (-4, -1200)
• -5 × -960 = (-5, -960)
• -6 × -800 = (-6, -800)
• -8 × -600 = (-8, -600)
• -10 × -480 = (-10, -480)
• -12 × -400 = (-12, -400)
• -15 × -320 = (-15, -320)
• -16 × -300 = (-16, -300)
• -20 × -240 = (-20, -240)
• -24 × -200 = (-24, -200)
• -25 × -192 = (-25, -192)
• -30 × -160 = (-30, -160)
• -32 × -150 = (-32, -150)
• -40 × -120 = (-40, -120)
• -48 × -100 = (-48, -100)
• -50 × -96 = (-50, -96)
• -60 × -80 = (-60, -80)
• -64 × -75 = (-64, -75)

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