Factors of 2880 are the list of integers that we can split evenly into 2880. It has total 42 factors of which 2880 is the biggest factor and the prime factors of 2880 are 2, 3, 5. The sum of all factors of 2880 is 9906.

• All Factors of 2880: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440 and 2880
• Prime Factors of 2880: 2, 3, 5
• Prime Factorization of 2880: 2⁶ × 3² × 5¹
• Sum of Factors of 2880: 9906

1.	What Are the Factors of 2880?
2.	Factors of 2880 by Prime Factorization
3.	Factors of 2880 in Pairs
4.	FAQs on Factors of 2880

Factors of 2880 are pairs of those numbers whose products result in 2880. These factors are either prime numbers or composite numbers.

How to Find the Factors of 2880?

To find the factors of 2880, we will have to find the list of numbers that would divide 2880 without leaving any remainder.

• 2880/15 = 192; therefore, 15 is a factor of 2880 and 192 is also a factor of 2880.
• 2880/4 = 720; therefore, 4 is a factor of 2880 and 720 is also a factor of 2880.

Similarly we can find other factors. Hence, the factors of 2880 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, 2880.

☛ Also Check:

• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98

The number 2880 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 2880. The first step is to divide the number 2880 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 2880 ÷ 2 = 1440
• 1440 ÷ 2 = 720
• 720 ÷ 2 = 360
• 360 ÷ 2 = 180
• 180 ÷ 2 = 90
• 90 ÷ 2 = 45

Further dividing 45 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 45 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 2880 can be written as 2⁶ × 3² × 5¹ where 2, 3, 5 are prime.

Pair factors of 2880 are the pairs of numbers that when multiplied give the product 2880. The factors of 2880 in pairs are:

• 1 × 2880 = (1, 2880)
• 2 × 1440 = (2, 1440)
• 3 × 960 = (3, 960)
• 4 × 720 = (4, 720)
• 5 × 576 = (5, 576)
• 6 × 480 = (6, 480)
• 8 × 360 = (8, 360)
• 9 × 320 = (9, 320)
• 10 × 288 = (10, 288)
• 12 × 240 = (12, 240)
• 15 × 192 = (15, 192)
• 16 × 180 = (16, 180)
• 18 × 160 = (18, 160)
• 20 × 144 = (20, 144)
• 24 × 120 = (24, 120)
• 30 × 96 = (30, 96)
• 32 × 90 = (32, 90)
• 36 × 80 = (36, 80)
• 40 × 72 = (40, 72)
• 45 × 64 = (45, 64)
• 48 × 60 = (48, 60)

Negative pair factors of 2880 are:

• -1 × -2880 = (-1, -2880)
• -2 × -1440 = (-2, -1440)
• -3 × -960 = (-3, -960)
• -4 × -720 = (-4, -720)
• -5 × -576 = (-5, -576)
• -6 × -480 = (-6, -480)
• -8 × -360 = (-8, -360)
• -9 × -320 = (-9, -320)
• -10 × -288 = (-10, -288)
• -12 × -240 = (-12, -240)
• -15 × -192 = (-15, -192)
• -16 × -180 = (-16, -180)
• -18 × -160 = (-18, -160)
• -20 × -144 = (-20, -144)
• -24 × -120 = (-24, -120)
• -30 × -96 = (-30, -96)
• -32 × -90 = (-32, -90)
• -36 × -80 = (-36, -80)
• -40 × -72 = (-40, -72)
• -45 × -64 = (-45, -64)
• -48 × -60 = (-48, -60)

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