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, and 7200

How to find factors of a number

1. Steps to find factors of 7200 using Division Method

Example: Find factors of 7200

  • Divide 7200 by 1: 7200 ÷ 1 : Remainder = 0
  • Divide 7200 by 2: 7200 ÷ 2 : Remainder = 0
  • Divide 7200 by 3: 7200 ÷ 3 : Remainder = 0
  • Divide 7200 by 4: 7200 ÷ 4 : Remainder = 0
  • Divide 7200 by 5: 7200 ÷ 5 : Remainder = 0
  • Divide 7200 by 6: 7200 ÷ 6 : Remainder = 0
  • Divide 7200 by 8: 7200 ÷ 8 : Remainder = 0
  • Divide 7200 by 9: 7200 ÷ 9 : Remainder = 0
  • Divide 7200 by 10: 7200 ÷ 10 : Remainder = 0
  • Divide 7200 by 12: 7200 ÷ 12 : Remainder = 0
  • Divide 7200 by 15: 7200 ÷ 15 : Remainder = 0
  • Divide 7200 by 16: 7200 ÷ 16 : Remainder = 0
  • Divide 7200 by 18: 7200 ÷ 18 : Remainder = 0
  • Divide 7200 by 20: 7200 ÷ 20 : Remainder = 0
  • Divide 7200 by 24: 7200 ÷ 24 : Remainder = 0
  • Divide 7200 by 25: 7200 ÷ 25 : Remainder = 0
  • Divide 7200 by 30: 7200 ÷ 30 : Remainder = 0
  • Divide 7200 by 32: 7200 ÷ 32 : Remainder = 0
  • Divide 7200 by 36: 7200 ÷ 36 : Remainder = 0
  • Divide 7200 by 40: 7200 ÷ 40 : Remainder = 0
  • Divide 7200 by 45: 7200 ÷ 45 : Remainder = 0
  • Divide 7200 by 48: 7200 ÷ 48 : Remainder = 0
  • Divide 7200 by 50: 7200 ÷ 50 : Remainder = 0
  • Divide 7200 by 60: 7200 ÷ 60 : Remainder = 0
  • Divide 7200 by 72: 7200 ÷ 72 : Remainder = 0
  • Divide 7200 by 75: 7200 ÷ 75 : Remainder = 0
  • Divide 7200 by 80: 7200 ÷ 80 : Remainder = 0
  • Divide 7200 by 90: 7200 ÷ 90 : Remainder = 0
  • Divide 7200 by 96: 7200 ÷ 96 : Remainder = 0
  • Divide 7200 by 100: 7200 ÷ 100 : Remainder = 0
  • Divide 7200 by 120: 7200 ÷ 120 : Remainder = 0
  • Divide 7200 by 144: 7200 ÷ 144 : Remainder = 0
  • Divide 7200 by 150: 7200 ÷ 150 : Remainder = 0
  • Divide 7200 by 160: 7200 ÷ 160 : Remainder = 0
  • Divide 7200 by 180: 7200 ÷ 180 : Remainder = 0
  • Divide 7200 by 200: 7200 ÷ 200 : Remainder = 0
  • Divide 7200 by 225: 7200 ÷ 225 : Remainder = 0
  • Divide 7200 by 240: 7200 ÷ 240 : Remainder = 0
  • Divide 7200 by 288: 7200 ÷ 288 : Remainder = 0
  • Divide 7200 by 300: 7200 ÷ 300 : Remainder = 0
  • Divide 7200 by 360: 7200 ÷ 360 : Remainder = 0
  • Divide 7200 by 400: 7200 ÷ 400 : Remainder = 0
  • Divide 7200 by 450: 7200 ÷ 450 : Remainder = 0
  • Divide 7200 by 480: 7200 ÷ 480 : Remainder = 0
  • Divide 7200 by 600: 7200 ÷ 600 : Remainder = 0
  • Divide 7200 by 720: 7200 ÷ 720 : Remainder = 0
  • Divide 7200 by 800: 7200 ÷ 800 : Remainder = 0
  • Divide 7200 by 900: 7200 ÷ 900 : Remainder = 0
  • Divide 7200 by 1200: 7200 ÷ 1200 : Remainder = 0
  • Divide 7200 by 1440: 7200 ÷ 1440 : Remainder = 0
  • Divide 7200 by 1800: 7200 ÷ 1800 : Remainder = 0
  • Divide 7200 by 2400: 7200 ÷ 2400 : Remainder = 0
  • Divide 7200 by 3600: 7200 ÷ 3600 : Remainder = 0
  • Divide 7200 by 7200: 7200 ÷ 7200 : Remainder = 0

Hence, 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, and 7200

2. Steps to find factors of 7200 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

Method 1: Division Method

To find the primefactors of 7200 using the division method, follow these steps:

  • Step 1. Start dividing 7200 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
  • Step 2. After finding the smallest prime factor of the number 7200, which is 2. Divide 7200 by 2 to obtain the quotient (3600).
    7200 ÷ 2 = 3600
  • Step 3. Repeat step 1 with the obtained quotient (3600).
    3600 ÷ 2 = 1800
    1800 ÷ 2 = 900
    900 ÷ 2 = 450
    450 ÷ 2 = 225
    225 ÷ 3 = 75
    75 ÷ 3 = 25
    25 ÷ 5 = 5
    5 ÷ 5 = 1

So, the prime factorization of 7200 is, 7200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7200 as shown below:

So, the prime factorization of 7200 is, 7200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.

3. Find factors of 7200 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 7200 would be the two numbers which, when multiplied, give 7200 as the result.

The following table represents the calculation of factors of 7200 in pairs:

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

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 7200. They are called negative pair factors.

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

What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

Properties of factors

  • Each number is a factor of itself. Eg. 7200 is a factor of itself.
  • 1 is a factor of every number. Eg. 1 is a factor of 7200.
  • Every number is a factor of zero (0), since 7200 x 0 = 0.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Every factor of a number is an exact divisor of that number, example 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 are exact divisors of 7200.
  • 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. Each factor divides 7200 without leaving a remainder.
  • Every factor of a number is less than or equal to the number, eg. 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 are all less than or equal to 7200.

Frequently Asked Questions

  • Which is the smallest prime factor of 7200?

    Smallest prime factor of 7200 is 2.

  • Is 7200 a perfect square?

    No 7200 is not a perfect square.

  • What are five multiples of 7200?

    First five multiples of 7200 are 14400, 21600, 28800, 36000, 43200.

  • What is prime factorization of 7200?

    Prime factorization of 7200 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.

  • What are factors of 7200?

    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.

  • How do you find factors of a negative number? ( eg. -7200 )?

    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.

  • Is 7200 a whole number?

    Yes 7200 is a whole number.

  • Which is greatest factor of 7200?

    The greatest factor of 7200 is 3600.

  • What are the prime factors of 7200?

    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.
    Prime factors of 7200 are 2, 2, 2, 2, 2, 3, 3, 5, 5.

Examples of Factors

Ariel has been assigned the task to find the product of all the prime factors of 7200. Can you help her?

Prime factors of 7200 are 2, 2, 2, 2, 2, 3, 3, 5, 5.
Hence, the product of prime factors of 30.

Can you help Rubel to find out the product of the even factors of 7200?

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.
Even factors of 7200 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 32, 36, 40, 48, 50, 60, 72, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200.
Hence, product of even factors of 7200 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 24 x 30 x 32 x 36 x 40 x 48 x 50 x 60 x 72 x 80 x 90 x 96 x 100 x 120 x 144 x 150 x 160 x 180 x 200 x 240 x 288 x 300 x 360 x 400 x 450 x 480 x 600 x 720 x 800 x 900 x 1200 x 1440 x 1800 x 2400 x 3600 x 7200 = 3.6572619880088372e+93.

Joy wants to calculate mean of all the factors of 7200. Help him in finding the mean of 7200.

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.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 7200 is 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 = 25389.
Hence, the mean of factors of 7200 is 25389 ÷ 54 = 470.17.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7200? Help her in writing all the factors.

Positive factors 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.
Negative factors 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.

How many factors are there for 7200?

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.
So there are in total 54 factors.

Joey wants to write all the prime factors of 7200 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7200 are 2, 2, 2, 2, 2, 3, 3, 5, 5.
So in exponential form it can be written as 25 x 32 x 52.

Kevin has been asked to write 53 factor(s) of 7200. Can you predict the answer?

53 factor(s) 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.