Factors of 5760 are the list of integers that we can split evenly into 5760. There are overall 48 factors of 5760 among which 5760 is the biggest factor and its prime factors are 2, 3, 5. The sum of all factors of 5760 is 19890.

• All Factors of 5760: 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, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880 and 5760
• Prime Factors of 5760: 2, 3, 5
• Prime Factorization of 5760: 2⁷ × 3² × 5¹
• Sum of Factors of 5760: 19890

1.	What Are the Factors of 5760?
2.	Factors of 5760 by Prime Factorization
3.	Factors of 5760 in Pairs
4.	FAQs on Factors of 5760

Factors of 5760 are pairs of those numbers whose products result in 5760. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5760?

To find the factors of 5760, we will have to find the list of numbers that would divide 5760 without leaving any remainder.

• 5760/128 = 45; therefore, 128 is a factor of 5760 and 45 is also a factor of 5760.
• 5760/320 = 18; therefore, 320 is a factor of 5760 and 18 is also a factor of 5760.

Similarly we can find other factors. Hence, the factors of 5760 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, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760.

☛ Also Check:

• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 37 - The factors of 37 are 1, 37
• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

The number 5760 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5760. The first step is to divide the number 5760 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 5760 ÷ 2 = 2880
• 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 5760 can be written as 2⁷ × 3² × 5¹ where 2, 3, 5 are prime.

Pair factors of 5760 are the pairs of numbers that when multiplied give the product 5760. The factors of 5760 in pairs are:

• 1 × 5760 = (1, 5760)
• 2 × 2880 = (2, 2880)
• 3 × 1920 = (3, 1920)
• 4 × 1440 = (4, 1440)
• 5 × 1152 = (5, 1152)
• 6 × 960 = (6, 960)
• 8 × 720 = (8, 720)
• 9 × 640 = (9, 640)
• 10 × 576 = (10, 576)
• 12 × 480 = (12, 480)
• 15 × 384 = (15, 384)
• 16 × 360 = (16, 360)
• 18 × 320 = (18, 320)
• 20 × 288 = (20, 288)
• 24 × 240 = (24, 240)
• 30 × 192 = (30, 192)
• 32 × 180 = (32, 180)
• 36 × 160 = (36, 160)
• 40 × 144 = (40, 144)
• 45 × 128 = (45, 128)
• 48 × 120 = (48, 120)
• 60 × 96 = (60, 96)
• 64 × 90 = (64, 90)
• 72 × 80 = (72, 80)

Negative pair factors of 5760 are:

• -1 × -5760 = (-1, -5760)
• -2 × -2880 = (-2, -2880)
• -3 × -1920 = (-3, -1920)
• -4 × -1440 = (-4, -1440)
• -5 × -1152 = (-5, -1152)
• -6 × -960 = (-6, -960)
• -8 × -720 = (-8, -720)
• -9 × -640 = (-9, -640)
• -10 × -576 = (-10, -576)
• -12 × -480 = (-12, -480)
• -15 × -384 = (-15, -384)
• -16 × -360 = (-16, -360)
• -18 × -320 = (-18, -320)
• -20 × -288 = (-20, -288)
• -24 × -240 = (-24, -240)
• -30 × -192 = (-30, -192)
• -32 × -180 = (-32, -180)
• -36 × -160 = (-36, -160)
• -40 × -144 = (-40, -144)
• -45 × -128 = (-45, -128)
• -48 × -120 = (-48, -120)
• -60 × -96 = (-60, -96)
• -64 × -90 = (-64, -90)
• -72 × -80 = (-72, -80)

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