Factors of 5040 are the list of integers that we can split evenly into 5040. There are overall 60 factors of 5040 among which 5040 is the biggest factor and 2, 3, 5, 7 are its prime factors. The Prime Factorization of 5040 is 2⁴ × 3² × 5¹ × 7¹.

• All Factors of 5040: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520 and 5040
• Prime Factors of 5040: 2, 3, 5, 7
• Prime Factorization of 5040: 2⁴ × 3² × 5¹ × 7¹
• Sum of Factors of 5040: 19344

1.	What Are the Factors of 5040?
2.	Factors of 5040 by Prime Factorization
3.	Factors of 5040 in Pairs
4.	FAQs on Factors of 5040

Factors of 5040 are pairs of those numbers whose products result in 5040. These factors are either prime numbers or composite numbers.

How to Find the Factors of 5040?

To find the factors of 5040, we will have to find the list of numbers that would divide 5040 without leaving any remainder.

• 5040/21 = 240; therefore, 21 is a factor of 5040 and 240 is also a factor of 5040.
• 5040/140 = 36; therefore, 140 is a factor of 5040 and 36 is also a factor of 5040.

Similarly we can find other factors. Hence, the factors of 5040 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520, 5040.

☛ Also Check:

• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100

The number 5040 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 5040. The first step is to divide the number 5040 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 5040 ÷ 2 = 2520
• 2520 ÷ 2 = 1260
• 1260 ÷ 2 = 630
• 630 ÷ 2 = 315

Further dividing 315 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 315 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 5040 can be written as 2⁴ × 3² × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 5040 are the pairs of numbers that when multiplied give the product 5040. The factors of 5040 in pairs are:

• 1 × 5040 = (1, 5040)
• 2 × 2520 = (2, 2520)
• 3 × 1680 = (3, 1680)
• 4 × 1260 = (4, 1260)
• 5 × 1008 = (5, 1008)
• 6 × 840 = (6, 840)
• 7 × 720 = (7, 720)
• 8 × 630 = (8, 630)
• 9 × 560 = (9, 560)
• 10 × 504 = (10, 504)
• 12 × 420 = (12, 420)
• 14 × 360 = (14, 360)
• 15 × 336 = (15, 336)
• 16 × 315 = (16, 315)
• 18 × 280 = (18, 280)
• 20 × 252 = (20, 252)
• 21 × 240 = (21, 240)
• 24 × 210 = (24, 210)
• 28 × 180 = (28, 180)
• 30 × 168 = (30, 168)
• 35 × 144 = (35, 144)
• 36 × 140 = (36, 140)
• 40 × 126 = (40, 126)
• 42 × 120 = (42, 120)
• 45 × 112 = (45, 112)
• 48 × 105 = (48, 105)
• 56 × 90 = (56, 90)
• 60 × 84 = (60, 84)
• 63 × 80 = (63, 80)
• 70 × 72 = (70, 72)

Negative pair factors of 5040 are:

• -1 × -5040 = (-1, -5040)
• -2 × -2520 = (-2, -2520)
• -3 × -1680 = (-3, -1680)
• -4 × -1260 = (-4, -1260)
• -5 × -1008 = (-5, -1008)
• -6 × -840 = (-6, -840)
• -7 × -720 = (-7, -720)
• -8 × -630 = (-8, -630)
• -9 × -560 = (-9, -560)
• -10 × -504 = (-10, -504)
• -12 × -420 = (-12, -420)
• -14 × -360 = (-14, -360)
• -15 × -336 = (-15, -336)
• -16 × -315 = (-16, -315)
• -18 × -280 = (-18, -280)
• -20 × -252 = (-20, -252)
• -21 × -240 = (-21, -240)
• -24 × -210 = (-24, -210)
• -28 × -180 = (-28, -180)
• -30 × -168 = (-30, -168)
• -35 × -144 = (-35, -144)
• -36 × -140 = (-36, -140)
• -40 × -126 = (-40, -126)
• -42 × -120 = (-42, -120)
• -45 × -112 = (-45, -112)
• -48 × -105 = (-48, -105)
• -56 × -90 = (-56, -90)
• -60 × -84 = (-60, -84)
• -63 × -80 = (-63, -80)
• -70 × -72 = (-70, -72)

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