Factors of 7500

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Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, and 7500

How to find factors of a number

1. Steps to find factors of 7500 using Division Method

Find all the numbers which can divide 7500 without leaving any remainder, starting from number 1 upto 3750 (half of 7500). The number 1 and the number (7500) itself are always factors of the given number (7500).
Note down all such number. All of those numbers are factors of 7500.

Example: Find factors of 7500

Divide 7500 by 1: 7500 ÷ 1 : Remainder = 0
Divide 7500 by 2: 7500 ÷ 2 : Remainder = 0
Divide 7500 by 3: 7500 ÷ 3 : Remainder = 0
Divide 7500 by 4: 7500 ÷ 4 : Remainder = 0
Divide 7500 by 5: 7500 ÷ 5 : Remainder = 0
Divide 7500 by 6: 7500 ÷ 6 : Remainder = 0
Divide 7500 by 10: 7500 ÷ 10 : Remainder = 0
Divide 7500 by 12: 7500 ÷ 12 : Remainder = 0
Divide 7500 by 15: 7500 ÷ 15 : Remainder = 0
Divide 7500 by 20: 7500 ÷ 20 : Remainder = 0
Divide 7500 by 25: 7500 ÷ 25 : Remainder = 0
Divide 7500 by 30: 7500 ÷ 30 : Remainder = 0
Divide 7500 by 50: 7500 ÷ 50 : Remainder = 0
Divide 7500 by 60: 7500 ÷ 60 : Remainder = 0
Divide 7500 by 75: 7500 ÷ 75 : Remainder = 0
Divide 7500 by 100: 7500 ÷ 100 : Remainder = 0
Divide 7500 by 125: 7500 ÷ 125 : Remainder = 0
Divide 7500 by 150: 7500 ÷ 150 : Remainder = 0
Divide 7500 by 250: 7500 ÷ 250 : Remainder = 0
Divide 7500 by 300: 7500 ÷ 300 : Remainder = 0
Divide 7500 by 375: 7500 ÷ 375 : Remainder = 0
Divide 7500 by 500: 7500 ÷ 500 : Remainder = 0
Divide 7500 by 625: 7500 ÷ 625 : Remainder = 0
Divide 7500 by 750: 7500 ÷ 750 : Remainder = 0
Divide 7500 by 1250: 7500 ÷ 1250 : Remainder = 0
Divide 7500 by 1500: 7500 ÷ 1500 : Remainder = 0
Divide 7500 by 1875: 7500 ÷ 1875 : Remainder = 0
Divide 7500 by 2500: 7500 ÷ 2500 : Remainder = 0
Divide 7500 by 3750: 7500 ÷ 3750 : Remainder = 0
Divide 7500 by 7500: 7500 ÷ 7500 : Remainder = 0

Hence, Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, and 7500

2. Steps to find factors of 7500 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 7500 using the division method, follow these steps:

Step 1. Start dividing 7500 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 7500, which is 2. Divide 7500 by 2 to obtain the quotient (3750).
7500 ÷ 2 = 3750
Step 3. Repeat step 1 with the obtained quotient (3750).
3750 ÷ 2 = 1875

1875 ÷ 3 = 625

625 ÷ 5 = 125

125 ÷ 5 = 25

25 ÷ 5 = 5

5 ÷ 5 = 1

So, the prime factorization of 7500 is, 7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7500 as shown below:

So, the prime factorization of 7500 is, 7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5.

3. Find factors of 7500 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 7500 would be the two numbers which, when multiplied, give 7500 as the result.

The following table represents the calculation of factors of 7500 in pairs:

Factor Pair	Pair Factorization
1 and 7500	1 x 7500 = 7500
2 and 3750	2 x 3750 = 7500
3 and 2500	3 x 2500 = 7500
4 and 1875	4 x 1875 = 7500
5 and 1500	5 x 1500 = 7500
6 and 1250	6 x 1250 = 7500
10 and 750	10 x 750 = 7500
12 and 625	12 x 625 = 7500
15 and 500	15 x 500 = 7500
20 and 375	20 x 375 = 7500
25 and 300	25 x 300 = 7500
30 and 250	30 x 250 = 7500
50 and 150	50 x 150 = 7500
60 and 125	60 x 125 = 7500
75 and 100	75 x 100 = 7500

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 7500. They are called negative pair factors.

Hence, the negative pairs of 7500 would be ( -1 , -7500 ) , ( -2 , -3750 ) , ( -3 , -2500 ) , ( -4 , -1875 ) , ( -5 , -1500 ) , ( -6 , -1250 ) , ( -10 , -750 ) , ( -12 , -625 ) , ( -15 , -500 ) , ( -20 , -375 ) , ( -25 , -300 ) , ( -30 , -250 ) , ( -50 , -150 ) , ( -60 , -125 ) and ( -75 , -100 ) .

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. 7500 is a factor of itself.
1 is a factor of every number. Eg. 1 is a factor of 7500.
Every number is a factor of zero (0), since 7500 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, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500 are exact divisors of 7500.
Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. Each factor divides 7500 without leaving a remainder.
Every factor of a number is less than or equal to the number, eg. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500 are all less than or equal to 7500.

Frequently Asked Questions

What are the prime factors of 7500?
The factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
Prime factors of 7500 are 2, 2, 3, 5, 5, 5, 5.
What two numbers make 7500?
Two numbers that make 7500 are 2 and 3750.
What is the greatest prime factors of 7500?
The greatest prime factor of 7500 is 5.
What are factors of 7500?
Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
How do you find factors of a negative number? ( eg. -7500 )?
Factors of -7500 are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -25, -30, -50, -60, -75, -100, -125, -150, -250, -300, -375, -500, -625, -750, -1250, -1500, -1875, -2500, -3750, -7500.
What are five multiples of 7500?
First five multiples of 7500 are 15000, 22500, 30000, 37500, 45000.
Write some multiples of 7500?
First five multiples of 7500 are 15000, 22500, 30000, 37500.
Is 7500 a perfect square?
No 7500 is not a perfect square.
What two numbers make 7500?
Two numbers that make 7500 are 2 and 3750.

Examples of Factors

What is prime factorization of 7500?

Prime factorization of 7500 is 2 x 2 x 3 x 5 x 5 x 5 x 5 = 2² x 3 x 5⁴.

Sammy is puzzled while calculating the prime factors of 7500. Can you help him find them?

Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
Prime factors of 7500 are 2, 2, 3, 5, 5, 5, 5

Kevin has been asked to write 29 factor(s) of 7500. Can you predict the answer?

29 factor(s) of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750.

Joey wants to write all the prime factors of 7500 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7500 are 2, 2, 3, 5, 5, 5, 5.
So in exponential form it can be written as 2² x 3 x 5⁴.

How many factors are there for 7500?

Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
So there are in total 30 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7500? Help her in writing all the factors.

Positive factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
Negative factors are -1, -2, -3, -4, -5, -6, -10, -12, -15, -20, -25, -30, -50, -60, -75, -100, -125, -150, -250, -300, -375, -500, -625, -750, -1250, -1500, -1875, -2500, -3750, -7500.

Can you help Rubel to find out the product of the even factors of 7500?

Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500.
Even factors of 7500 are 2, 4, 6, 10, 12, 20, 30, 50, 60, 100, 150, 250, 300, 500, 750, 1250, 1500, 2500, 3750, 7500.
Hence, product of even factors of 7500 is; 2 x 4 x 6 x 10 x 12 x 20 x 30 x 50 x 60 x 100 x 150 x 250 x 300 x 500 x 750 x 1250 x 1500 x 2500 x 3750 x 7500 = 5.76650390625e+41.