Factors of 7200 are integers that can be divided evenly into 7200. It has total 54 factors of which 7200 is the biggest factor and the prime factors of 7200 are 2, 3, 5. The Prime Factorization of 7200 is 2⁵ × 3² × 5².

• All Factors of 7200: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600 and 7200
• Prime Factors of 7200: 2, 3, 5
• Prime Factorization of 7200: 2⁵ × 3² × 5²
• Sum of Factors of 7200: 25389

1.	What Are the Factors of 7200?
2.	Factors of 7200 by Prime Factorization
3.	Factors of 7200 in Pairs
4.	FAQs on Factors of 7200

Factors of 7200 are pairs of those numbers whose products result in 7200. These factors are either prime numbers or composite numbers.

How to Find the Factors of 7200?

To find the factors of 7200, we will have to find the list of numbers that would divide 7200 without leaving any remainder.

• 7200/300 = 24; therefore, 300 is a factor of 7200 and 24 is also a factor of 7200.
• 7200/30 = 240; therefore, 30 is a factor of 7200 and 240 is also a factor of 7200.

Similarly we can find other factors. Hence, the factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200.

☛ Also Check:

• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

The number 7200 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 7200. The first step is to divide the number 7200 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 7200 ÷ 2 = 3600
• 3600 ÷ 2 = 1800
• 1800 ÷ 2 = 900
• 900 ÷ 2 = 450
• 450 ÷ 2 = 225

Further dividing 225 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 225 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 7200 can be written as 2⁵ × 3² × 5² where 2, 3, 5 are prime.

Pair factors of 7200 are the pairs of numbers that when multiplied give the product 7200. The factors of 7200 in pairs are:

• 1 × 7200 = (1, 7200)
• 2 × 3600 = (2, 3600)
• 3 × 2400 = (3, 2400)
• 4 × 1800 = (4, 1800)
• 5 × 1440 = (5, 1440)
• 6 × 1200 = (6, 1200)
• 8 × 900 = (8, 900)
• 9 × 800 = (9, 800)
• 10 × 720 = (10, 720)
• 12 × 600 = (12, 600)
• 15 × 480 = (15, 480)
• 16 × 450 = (16, 450)
• 18 × 400 = (18, 400)
• 20 × 360 = (20, 360)
• 24 × 300 = (24, 300)
• 25 × 288 = (25, 288)
• 30 × 240 = (30, 240)
• 32 × 225 = (32, 225)
• 36 × 200 = (36, 200)
• 40 × 180 = (40, 180)
• 45 × 160 = (45, 160)
• 48 × 150 = (48, 150)
• 50 × 144 = (50, 144)
• 60 × 120 = (60, 120)
• 72 × 100 = (72, 100)
• 75 × 96 = (75, 96)
• 80 × 90 = (80, 90)

Negative pair factors of 7200 are:

• -1 × -7200 = (-1, -7200)
• -2 × -3600 = (-2, -3600)
• -3 × -2400 = (-3, -2400)
• -4 × -1800 = (-4, -1800)
• -5 × -1440 = (-5, -1440)
• -6 × -1200 = (-6, -1200)
• -8 × -900 = (-8, -900)
• -9 × -800 = (-9, -800)
• -10 × -720 = (-10, -720)
• -12 × -600 = (-12, -600)
• -15 × -480 = (-15, -480)
• -16 × -450 = (-16, -450)
• -18 × -400 = (-18, -400)
• -20 × -360 = (-20, -360)
• -24 × -300 = (-24, -300)
• -25 × -288 = (-25, -288)
• -30 × -240 = (-30, -240)
• -32 × -225 = (-32, -225)
• -36 × -200 = (-36, -200)
• -40 × -180 = (-40, -180)
• -45 × -160 = (-45, -160)
• -48 × -150 = (-48, -150)
• -50 × -144 = (-50, -144)
• -60 × -120 = (-60, -120)
• -72 × -100 = (-72, -100)
• -75 × -96 = (-75, -96)
• -80 × -90 = (-80, -90)

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