# What are all the factors, the prime factorization, and factor pairs of 748900?

To find the factors of 748900, divide 748900 by each number starting with 1 and working up to 748900

## What is a factor in math ?

Factors are the numbers you multiply together to get another number. For example, the factors of 15 are 3 and 5 because 3 × 5 = 15.

The factors of a number can be positive or negative, but they cannot be zero.

The factors of a number can be used to find out if the number is prime or not.

A prime number is a number that has only two factors: itself and 1. For example, the number 7 is prime because its only factors are 7 and 1.

## List all of the factors of 748900 ?

To calculate the factors of 748900 , you can use the division method.

1. Begin by dividing 748900 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 748900.

3. Continue dividing 748900 by larger numbers until you find an odd number that does not divide evenly into 748900 .

4. The numbers that divide evenly into 748900 are the factors of 748900 .

Now let us find how to calculate all the factors of Seven hundred forty-eight thousand nine hundred :

748900 ÷ 1 = 748900
748900 ÷ 2 = 374450
748900 ÷ 4 = 187225
748900 ÷ 5 = 149780
748900 ÷ 10 = 74890
748900 ÷ 20 = 37445
748900 ÷ 25 = 29956
748900 ÷ 50 = 14978
748900 ÷ 100 = 7489
748900 ÷ 7489 = 100
748900 ÷ 14978 = 50
748900 ÷ 29956 = 25
748900 ÷ 37445 = 20
748900 ÷ 74890 = 10
748900 ÷ 149780 = 5
748900 ÷ 187225 = 4
748900 ÷ 374450 = 2
748900 ÷ 748900 = 1

As you can see, the factors of 748900 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 7489 , 14978 , 29956 , 37445 , 74890 , 149780 , 187225 , 374450 and 748900 .

## How many factors of 748900 are there ?

The factors of 748900 are the numbers that can evenly divide 748900 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 7489 , 14978 , 29956 , 37445 , 74890 , 149780 , 187225 , 374450 and 748900.

Thus, there are a total of 18 factors of 748900

## What are the factor pairs of 748900 ?

Factor Pairs of 748900 are combinations of two factors that when multiplied together equal 748900. There are many ways to calculate the factor pairs of 748900 .

One easy way is to list out the factors of 748900 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 7489 , 14978 , 29956 , 37445 , 74890 , 149780 , 187225 , 374450 , 748900

Then, pair up the factors:
(1,748900),(2,374450),(4,187225),(5,149780),(10,74890),(20,37445),(25,29956),(50,14978) and (100,7489) These are the factor pairs of 748900 .

## Prime Factorisation of 748900

There are a few different methods that can be used to calculate the prime factorization of a number. Two of the most common methods are listed below.

1) Use a factor tree :

1. Take the number you want to find the prime factorization of and write it at the top of the page

2. Find the smallest number that goes into the number you are finding the prime factorization of evenly and write it next to the number you are finding the prime factorization of

3. Draw a line under the number you just wrote and the number you are finding the prime factorization of

4. Repeat step 2 with the number you just wrote until that number can no longer be divided evenly

5. The numbers written on the lines will be the prime factors of the number you started with

For example, to calculate the prime factorization of 748900 using a factor tree, we would start by writing 748900 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 748900 would be 2 x 2 x 5 x 5 x 7489.

2) Use a factorization method :

There are a few different factorization methods that can be used to calculate the prime factorization of a number.

One common method is to start by dividing the number by the smallest prime number that will divide evenly into it.

Then, continue dividing the number by successively larger prime numbers until the number has been fully factorised.

For example, to calculate the prime factorization of 748900 using this method, we keep dividing until it gives a non-zero remainder.

748900 ÷ 2 = 374450
374450 ÷ 2 = 187225
187225 ÷ 5 = 37445
37445 ÷ 5 = 7489
7489 ÷ 7489 = 1

So the prime factors of 748900 are 2 x 2 x 5 x 5 x 7489.

## Frequently Asked Questions on Factors

### What are all the factors of 748900 ?

The factors of 748900 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 7489 , 14978 , 29956 , 37445 , 74890 , 149780 , 187225 , 374450 and 748900.

### What is the prime factorization of 748900 ?

The prime factorization of 748900 is 2 x 2 x 5 x 5 x 7489 or 22 x 52 x 74891, where 2 , 5 , 7489 are the prime numbers .

### What are the prime factors of 748900 ?

The prime factors of 748900 are 2 , 5 , 7489 .

### Is 748900 a prime number ?

A prime number is a number that has only two factors 1 and itself.
748900 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 100 , 7489 , 14978 , 29956 , 37445 , 74890 , 149780 , 187225 , 374450 and 748900.