Factors of 5280 are the list of integers that we can split evenly into 5280. There are 48 factors of 5280, of which the following are its prime factors 2, 3, 5, 11. The sum of all factors of 5280 is 18144.

• All Factors of 5280: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640 and 5280
• Prime Factors of 5280: 2, 3, 5, 11
• Prime Factorization of 5280: 2⁵ × 3¹ × 5¹ × 11¹
• Sum of Factors of 5280: 18144

1.	What Are the Factors of 5280?
2.	Factors of 5280 by Prime Factorization
3.	Factors of 5280 in Pairs
4.	FAQs on Factors of 5280

Factors of 5280 are pairs of those numbers whose products result in 5280. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5280?

To find the factors of 5280, we will have to find the list of numbers that would divide 5280 without leaving any remainder.

• 5280/4 = 1320; therefore, 4 is a factor of 5280 and 1320 is also a factor of 5280.
• 5280/96 = 55; therefore, 96 is a factor of 5280 and 55 is also a factor of 5280.

Similarly we can find other factors. Hence, the factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 55 - The factors of 55 are 1, 5, 11, 55

The number 5280 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5280. The first step is to divide the number 5280 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 5280 ÷ 2 = 2640
• 2640 ÷ 2 = 1320
• 1320 ÷ 2 = 660
• 660 ÷ 2 = 330
• 330 ÷ 2 = 165

Further dividing 165 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 165 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 5280 can be written as 2⁵ × 3¹ × 5¹ × 11¹ where 2, 3, 5, 11 are prime.

Pair factors of 5280 are the pairs of numbers that when multiplied give the product 5280. The factors of 5280 in pairs are:

• 1 × 5280 = (1, 5280)
• 2 × 2640 = (2, 2640)
• 3 × 1760 = (3, 1760)
• 4 × 1320 = (4, 1320)
• 5 × 1056 = (5, 1056)
• 6 × 880 = (6, 880)
• 8 × 660 = (8, 660)
• 10 × 528 = (10, 528)
• 11 × 480 = (11, 480)
• 12 × 440 = (12, 440)
• 15 × 352 = (15, 352)
• 16 × 330 = (16, 330)
• 20 × 264 = (20, 264)
• 22 × 240 = (22, 240)
• 24 × 220 = (24, 220)
• 30 × 176 = (30, 176)
• 32 × 165 = (32, 165)
• 33 × 160 = (33, 160)
• 40 × 132 = (40, 132)
• 44 × 120 = (44, 120)
• 48 × 110 = (48, 110)
• 55 × 96 = (55, 96)
• 60 × 88 = (60, 88)
• 66 × 80 = (66, 80)

Negative pair factors of 5280 are:

• -1 × -5280 = (-1, -5280)
• -2 × -2640 = (-2, -2640)
• -3 × -1760 = (-3, -1760)
• -4 × -1320 = (-4, -1320)
• -5 × -1056 = (-5, -1056)
• -6 × -880 = (-6, -880)
• -8 × -660 = (-8, -660)
• -10 × -528 = (-10, -528)
• -11 × -480 = (-11, -480)
• -12 × -440 = (-12, -440)
• -15 × -352 = (-15, -352)
• -16 × -330 = (-16, -330)
• -20 × -264 = (-20, -264)
• -22 × -240 = (-22, -240)
• -24 × -220 = (-24, -220)
• -30 × -176 = (-30, -176)
• -32 × -165 = (-32, -165)
• -33 × -160 = (-33, -160)
• -40 × -132 = (-40, -132)
• -44 × -120 = (-44, -120)
• -48 × -110 = (-48, -110)
• -55 × -96 = (-55, -96)
• -60 × -88 = (-60, -88)
• -66 × -80 = (-66, -80)

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