Factors of 7920 are the list of integers that can be evenly divided into 7920. It has total 60 factors of which 7920 is the biggest factor and the prime factors of 7920 are 2, 3, 5, 11. The sum of all factors of 7920 is 29016.

• All Factors of 7920: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960 and 7920
• Prime Factors of 7920: 2, 3, 5, 11
• Prime Factorization of 7920: 2⁴ × 3² × 5¹ × 11¹
• Sum of Factors of 7920: 29016

1.	What Are the Factors of 7920?
2.	Factors of 7920 by Prime Factorization
3.	Factors of 7920 in Pairs
4.	FAQs on Factors of 7920

Factors of 7920 are pairs of those numbers whose products result in 7920. These factors are either prime numbers or composite numbers.

How to Find the Factors of 7920?

To find the factors of 7920, we will have to find the list of numbers that would divide 7920 without leaving any remainder.

• 7920/72 = 110; therefore, 72 is a factor of 7920 and 110 is also a factor of 7920.
• 7920/40 = 198; therefore, 40 is a factor of 7920 and 198 is also a factor of 7920.

Similarly we can find other factors. Hence, the factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920.

☛ Also Check:

• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 21 - The factors of 21 are 1, 3, 7, 21

The number 7920 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 7920. The first step is to divide the number 7920 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 7920 ÷ 2 = 3960
• 3960 ÷ 2 = 1980
• 1980 ÷ 2 = 990
• 990 ÷ 2 = 495

Further dividing 495 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 495 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 7920 can be written as 2⁴ × 3² × 5¹ × 11¹ where 2, 3, 5, 11 are prime.

Pair factors of 7920 are the pairs of numbers that when multiplied give the product 7920. The factors of 7920 in pairs are:

• 1 × 7920 = (1, 7920)
• 2 × 3960 = (2, 3960)
• 3 × 2640 = (3, 2640)
• 4 × 1980 = (4, 1980)
• 5 × 1584 = (5, 1584)
• 6 × 1320 = (6, 1320)
• 8 × 990 = (8, 990)
• 9 × 880 = (9, 880)
• 10 × 792 = (10, 792)
• 11 × 720 = (11, 720)
• 12 × 660 = (12, 660)
• 15 × 528 = (15, 528)
• 16 × 495 = (16, 495)
• 18 × 440 = (18, 440)
• 20 × 396 = (20, 396)
• 22 × 360 = (22, 360)
• 24 × 330 = (24, 330)
• 30 × 264 = (30, 264)
• 33 × 240 = (33, 240)
• 36 × 220 = (36, 220)
• 40 × 198 = (40, 198)
• 44 × 180 = (44, 180)
• 45 × 176 = (45, 176)
• 48 × 165 = (48, 165)
• 55 × 144 = (55, 144)
• 60 × 132 = (60, 132)
• 66 × 120 = (66, 120)
• 72 × 110 = (72, 110)
• 80 × 99 = (80, 99)
• 88 × 90 = (88, 90)

Negative pair factors of 7920 are:

• -1 × -7920 = (-1, -7920)
• -2 × -3960 = (-2, -3960)
• -3 × -2640 = (-3, -2640)
• -4 × -1980 = (-4, -1980)
• -5 × -1584 = (-5, -1584)
• -6 × -1320 = (-6, -1320)
• -8 × -990 = (-8, -990)
• -9 × -880 = (-9, -880)
• -10 × -792 = (-10, -792)
• -11 × -720 = (-11, -720)
• -12 × -660 = (-12, -660)
• -15 × -528 = (-15, -528)
• -16 × -495 = (-16, -495)
• -18 × -440 = (-18, -440)
• -20 × -396 = (-20, -396)
• -22 × -360 = (-22, -360)
• -24 × -330 = (-24, -330)
• -30 × -264 = (-30, -264)
• -33 × -240 = (-33, -240)
• -36 × -220 = (-36, -220)
• -40 × -198 = (-40, -198)
• -44 × -180 = (-44, -180)
• -45 × -176 = (-45, -176)
• -48 × -165 = (-48, -165)
• -55 × -144 = (-55, -144)
• -60 × -132 = (-60, -132)
• -66 × -120 = (-66, -120)
• -72 × -110 = (-72, -110)
• -80 × -99 = (-80, -99)
• -88 × -90 = (-88, -90)

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