# Factors of 750

Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750

#### How to find factors of a number

 1.   Find factors of 750 using Division Method 2.   Find factors of 750 using Prime Factorization 3.   Find factors of 750 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 750

• Divide 750 by 1: 750 ÷ 1 : Remainder = 0
• Divide 750 by 2: 750 ÷ 2 : Remainder = 0
• Divide 750 by 3: 750 ÷ 3 : Remainder = 0
• Divide 750 by 5: 750 ÷ 5 : Remainder = 0
• Divide 750 by 6: 750 ÷ 6 : Remainder = 0
• Divide 750 by 10: 750 ÷ 10 : Remainder = 0
• Divide 750 by 15: 750 ÷ 15 : Remainder = 0
• Divide 750 by 25: 750 ÷ 25 : Remainder = 0
• Divide 750 by 30: 750 ÷ 30 : Remainder = 0
• Divide 750 by 50: 750 ÷ 50 : Remainder = 0
• Divide 750 by 75: 750 ÷ 75 : Remainder = 0
• Divide 750 by 125: 750 ÷ 125 : Remainder = 0
• Divide 750 by 150: 750 ÷ 150 : Remainder = 0
• Divide 750 by 250: 750 ÷ 250 : Remainder = 0
• Divide 750 by 375: 750 ÷ 375 : Remainder = 0
• Divide 750 by 750: 750 ÷ 750 : Remainder = 0

Hence, Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, and 750

#### 2. Steps to find factors of 750 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 750 using the division method, follow these steps:

• Step 1. Start dividing 750 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 750, which is 2. Divide 750 by 2 to obtain the quotient (375).
750 ÷ 2 = 375
• Step 3. Repeat step 1 with the obtained quotient (375).
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1

So, the prime factorization of 750 is, 750 = 2 x 3 x 5 x 5 x 5.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 750 as shown below:

So, the prime factorization of 750 is, 750 = 2 x 3 x 5 x 5 x 5.

#### 3. Find factors of 750 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 750 would be the two numbers which, when multiplied, give 750 as the result.

The following table represents the calculation of factors of 750 in pairs:

Factor Pair Pair Factorization
1 and 750 1 x 750 = 750
2 and 375 2 x 375 = 750
3 and 250 3 x 250 = 750
5 and 150 5 x 150 = 750
6 and 125 6 x 125 = 750
10 and 75 10 x 75 = 750
15 and 50 15 x 50 = 750
25 and 30 25 x 30 = 750

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 750. They are called negative pair factors.

Hence, the negative pairs of 750 would be ( -1 , -750 ) , ( -2 , -375 ) , ( -3 , -250 ) , ( -5 , -150 ) , ( -6 , -125 ) , ( -10 , -75 ) , ( -15 , -50 ) and ( -25 , -30 ) .

#### 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. 750 is a factor of itself.
• 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, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750 are exact divisors of 750.
• 1 is a factor of every number. Eg. 1 is a factor of 750.
• Every number is a factor of zero (0), since 750 x 0 = 0.

• What are the prime factors of 750?

The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
Prime factors of 750 are 2, 3, 5, 5, 5.

• What two numbers make 750?

Two numbers that make 750 are 2 and 375.

• What is the greatest prime factors of 750?

The greatest prime factor of 750 is 5.

• What are factors of 750?

Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.

• How do you find factors of a negative number? ( eg. -750 )?

Factors of -750 are -1, -2, -3, -5, -6, -10, -15, -25, -30, -50, -75, -125, -150, -250, -375, -750.

• What are five multiples of 750?

First five multiples of 750 are 1500, 2250, 3000, 3750, 4500.

• Write some multiples of 750?

First five multiples of 750 are 1500, 2250, 3000, 3750.

• Is 750 a perfect square?

No 750 is not a perfect square.

• What two numbers make 750?

Two numbers that make 750 are 2 and 375.

#### Examples of Factors

What is prime factorization of 750?

Prime factorization of 750 is 2 x 3 x 5 x 5 x 5 = 2 x 3 x 53.

Sammy is puzzled while calculating the prime factors of 750. Can you help him find them?

Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
Prime factors of 750 are 2, 3, 5, 5, 5

Kevin has been asked to write 15 factor(s) of 750. Can you predict the answer?

15 factor(s) of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375.

Joey wants to write all the prime factors of 750 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 750 are 2, 3, 5, 5, 5.
So in exponential form it can be written as 2 x 3 x 53.

How many factors are there for 750?

Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
So there are in total 16 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 750? Help her in writing all the factors.

Positive factors are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
Negative factors are -1, -2, -3, -5, -6, -10, -15, -25, -30, -50, -75, -125, -150, -250, -375, -750.

Can you help Rubel to find out the product of the even factors of 750?

Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750.
Even factors of 750 are 2, 6, 10, 30, 50, 150, 250, 750.
Hence, product of even factors of 750 is; 2 x 6 x 10 x 30 x 50 x 150 x 250 x 750 = 5062500000000.