Factors of 7560 are the list of integers that can be evenly divided into 7560. There are overall 64 factors of 7560 among which 7560 is the biggest factor and its prime factors are 2, 3, 5, 7. The Prime Factorization of 7560 is 2³ × 3³ × 5¹ × 7¹.

• All Factors of 7560: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780 and 7560
• Prime Factors of 7560: 2, 3, 5, 7
• Prime Factorization of 7560: 2³ × 3³ × 5¹ × 7¹
• Sum of Factors of 7560: 28800

1.	What Are the Factors of 7560?
2.	Factors of 7560 by Prime Factorization
3.	Factors of 7560 in Pairs
4.	FAQs on Factors of 7560

Factors of 7560 are pairs of those numbers whose products result in 7560. These factors are either prime numbers or composite numbers.

How to Find the Factors of 7560?

To find the factors of 7560, we will have to find the list of numbers that would divide 7560 without leaving any remainder.

• 7560/12 = 630; therefore, 12 is a factor of 7560 and 630 is also a factor of 7560.
• 7560/189 = 40; therefore, 189 is a factor of 7560 and 40 is also a factor of 7560.

Similarly we can find other factors. Hence, the factors of 7560 are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 54, 56, 60, 63, 70, 72, 84, 90, 105, 108, 120, 126, 135, 140, 168, 180, 189, 210, 216, 252, 270, 280, 315, 360, 378, 420, 504, 540, 630, 756, 840, 945, 1080, 1260, 1512, 1890, 2520, 3780, 7560.

☛ Also Check:

• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 56 - The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The number 7560 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 7560. The first step is to divide the number 7560 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 7560 ÷ 2 = 3780
• 3780 ÷ 2 = 1890
• 1890 ÷ 2 = 945

Further dividing 945 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 945 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 7560 can be written as 2³ × 3³ × 5¹ × 7¹ where 2, 3, 5, 7 are prime.

Pair factors of 7560 are the pairs of numbers that when multiplied give the product 7560. The factors of 7560 in pairs are:

• 1 × 7560 = (1, 7560)
• 2 × 3780 = (2, 3780)
• 3 × 2520 = (3, 2520)
• 4 × 1890 = (4, 1890)
• 5 × 1512 = (5, 1512)
• 6 × 1260 = (6, 1260)
• 7 × 1080 = (7, 1080)
• 8 × 945 = (8, 945)
• 9 × 840 = (9, 840)
• 10 × 756 = (10, 756)
• 12 × 630 = (12, 630)
• 14 × 540 = (14, 540)
• 15 × 504 = (15, 504)
• 18 × 420 = (18, 420)
• 20 × 378 = (20, 378)
• 21 × 360 = (21, 360)
• 24 × 315 = (24, 315)
• 27 × 280 = (27, 280)
• 28 × 270 = (28, 270)
• 30 × 252 = (30, 252)
• 35 × 216 = (35, 216)
• 36 × 210 = (36, 210)
• 40 × 189 = (40, 189)
• 42 × 180 = (42, 180)
• 45 × 168 = (45, 168)
• 54 × 140 = (54, 140)
• 56 × 135 = (56, 135)
• 60 × 126 = (60, 126)
• 63 × 120 = (63, 120)
• 70 × 108 = (70, 108)
• 72 × 105 = (72, 105)
• 84 × 90 = (84, 90)

Negative pair factors of 7560 are:

• -1 × -7560 = (-1, -7560)
• -2 × -3780 = (-2, -3780)
• -3 × -2520 = (-3, -2520)
• -4 × -1890 = (-4, -1890)
• -5 × -1512 = (-5, -1512)
• -6 × -1260 = (-6, -1260)
• -7 × -1080 = (-7, -1080)
• -8 × -945 = (-8, -945)
• -9 × -840 = (-9, -840)
• -10 × -756 = (-10, -756)
• -12 × -630 = (-12, -630)
• -14 × -540 = (-14, -540)
• -15 × -504 = (-15, -504)
• -18 × -420 = (-18, -420)
• -20 × -378 = (-20, -378)
• -21 × -360 = (-21, -360)
• -24 × -315 = (-24, -315)
• -27 × -280 = (-27, -280)
• -28 × -270 = (-28, -270)
• -30 × -252 = (-30, -252)
• -35 × -216 = (-35, -216)
• -36 × -210 = (-36, -210)
• -40 × -189 = (-40, -189)
• -42 × -180 = (-42, -180)
• -45 × -168 = (-45, -168)
• -54 × -140 = (-54, -140)
• -56 × -135 = (-56, -135)
• -60 × -126 = (-60, -126)
• -63 × -120 = (-63, -120)
• -70 × -108 = (-70, -108)
• -72 × -105 = (-72, -105)
• -84 × -90 = (-84, -90)

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