Factors of 3600

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How to find factors of a number

1. Steps to find factors of 3600 using Division Method

Find all the numbers which can divide 3600 without leaving any remainder, starting from number 1 upto 1800 (half of 3600). The number 1 and the number (3600) itself are always factors of the given number (3600).
Note down all such number. All of those numbers are factors of 3600.

Example: Find factors of 3600

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

Hence, Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, and 3600

2. Steps to find factors of 3600 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 3600 using the division method, follow these steps:

Step 1. Start dividing 3600 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 3600, which is 2. Divide 3600 by 2 to obtain the quotient (1800).
3600 ÷ 2 = 1800
Step 3. Repeat step 1 with the obtained quotient (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 3600 is, 3600 = 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 3600 as shown below:

So, the prime factorization of 3600 is, 3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.

3. Find factors of 3600 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 3600 would be the two numbers which, when multiplied, give 3600 as the result.

The following table represents the calculation of factors of 3600 in pairs:

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

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 3600. They are called negative pair factors.

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

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. 3600 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 3600.
Every number is a factor of zero (0), since 3600 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, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600 are exact divisors of 3600.
Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. Each factor divides 3600 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, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600 are all less than or equal to 3600.

Frequently Asked Questions

Which is the smallest prime factor of 3600?
Smallest prime factor of 3600 is 2.
Is 3600 a perfect square?
Yes 3600 is a perfect square.
What are five multiples of 3600?
First five multiples of 3600 are 7200, 10800, 14400, 18000, 21600.
What is prime factorization of 3600?
Prime factorization of 3600 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.
What are factors of 3600?
Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
How do you find factors of a negative number? ( eg. -3600 )?
Factors of -3600 are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -144, -150, -180, -200, -225, -240, -300, -360, -400, -450, -600, -720, -900, -1200, -1800, -3600.
Is 3600 a whole number?
Yes 3600 is a whole number.
Which is greatest factor of 3600?
The greatest factor of 3600 is 1800.
What are the prime factors of 3600?
The factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
Prime factors of 3600 are 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 3600. Can you help her?

Prime factors of 3600 are 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 3600?

Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
Even factors of 3600 are 2, 4, 6, 8, 10, 12, 16, 18, 20, 24, 30, 36, 40, 48, 50, 60, 72, 80, 90, 100, 120, 144, 150, 180, 200, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
Hence, product of even factors of 3600 is; 2 x 4 x 6 x 8 x 10 x 12 x 16 x 18 x 20 x 24 x 30 x 36 x 40 x 48 x 50 x 60 x 72 x 80 x 90 x 100 x 120 x 144 x 150 x 180 x 200 x 240 x 300 x 360 x 400 x 450 x 600 x 720 x 900 x 1200 x 1800 x 3600 = 2.7038645743755025e+69.

Joy wants to calculate mean of all the factors of 3600. Help him in finding the mean of 3600.

Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 3600 is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 144 + 150 + 180 + 200 + 225 + 240 + 300 + 360 + 400 + 450 + 600 + 720 + 900 + 1200 + 1800 + 3600 = 12493.
Hence, the mean of factors of 3600 is 12493 ÷ 45 = 277.62.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 3600? 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, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600.
Negative factors are -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -144, -150, -180, -200, -225, -240, -300, -360, -400, -450, -600, -720, -900, -1200, -1800, -3600.

How many factors are there for 3600?

Joey wants to write all the prime factors of 3600 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 3600 are 2, 2, 2, 2, 3, 3, 5, 5.
So in exponential form it can be written as 2⁴ x 3² x 5².

Kevin has been asked to write 44 factor(s) of 3600. Can you predict the answer?

44 factor(s) of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800.