# What are all the factors, the prime factorization, and factor pairs of 748990?

To find the factors of 748990, divide 748990 by each number starting with 1 and working up to 748990

## 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 748990 ?

To calculate the factors of 748990 , you can use the division method.

1. Begin by dividing 748990 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 748990.

3. Continue dividing 748990 by larger numbers until you find an odd number that does not divide evenly into 748990 .

4. The numbers that divide evenly into 748990 are the factors of 748990 .

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

748990 ÷ 1 = 748990
748990 ÷ 2 = 374495
748990 ÷ 5 = 149798
748990 ÷ 10 = 74899
748990 ÷ 11 = 68090
748990 ÷ 22 = 34045
748990 ÷ 55 = 13618
748990 ÷ 110 = 6809
748990 ÷ 121 = 6190
748990 ÷ 242 = 3095
748990 ÷ 605 = 1238
748990 ÷ 619 = 1210
748990 ÷ 1210 = 619
748990 ÷ 1238 = 605
748990 ÷ 3095 = 242
748990 ÷ 6190 = 121
748990 ÷ 6809 = 110
748990 ÷ 13618 = 55
748990 ÷ 34045 = 22
748990 ÷ 68090 = 11
748990 ÷ 74899 = 10
748990 ÷ 149798 = 5
748990 ÷ 374495 = 2
748990 ÷ 748990 = 1

As you can see, the factors of 748990 are 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 , 121 , 242 , 605 , 619 , 1210 , 1238 , 3095 , 6190 , 6809 , 13618 , 34045 , 68090 , 74899 , 149798 , 374495 and 748990 .

## How many factors of 748990 are there ?

The factors of 748990 are the numbers that can evenly divide 748990 . These numbers are 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 , 121 , 242 , 605 , 619 , 1210 , 1238 , 3095 , 6190 , 6809 , 13618 , 34045 , 68090 , 74899 , 149798 , 374495 and 748990.

Thus, there are a total of 24 factors of 748990

## What are the factor pairs of 748990 ?

Factor Pairs of 748990 are combinations of two factors that when multiplied together equal 748990. There are many ways to calculate the factor pairs of 748990 .

One easy way is to list out the factors of 748990 :
1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 , 121 , 242 , 605 , 619 , 1210 , 1238 , 3095 , 6190 , 6809 , 13618 , 34045 , 68090 , 74899 , 149798 , 374495 , 748990

Then, pair up the factors:
(1,748990),(2,374495),(5,149798),(10,74899),(11,68090),(22,34045),(55,13618),(110,6809),(121,6190),(242,3095),(605,1238) and (619,1210) These are the factor pairs of 748990 .

## Prime Factorisation of 748990

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 748990 using a factor tree, we would start by writing 748990 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 748990 would be 2 x 5 x 11 x 11 x 619.

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 748990 using this method, we keep dividing until it gives a non-zero remainder.

748990 ÷ 2 = 374495
374495 ÷ 5 = 74899
74899 ÷ 11 = 6809
6809 ÷ 11 = 619
619 ÷ 619 = 1

So the prime factors of 748990 are 2 x 5 x 11 x 11 x 619.

## Frequently Asked Questions on Factors

### What are all the factors of 748990 ?

The factors of 748990 are 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 , 121 , 242 , 605 , 619 , 1210 , 1238 , 3095 , 6190 , 6809 , 13618 , 34045 , 68090 , 74899 , 149798 , 374495 and 748990.

### What is the prime factorization of 748990 ?

The prime factorization of 748990 is 2 x 5 x 11 x 11 x 619 or 21 x 51 x 112 x 6191, where 2 , 5 , 11 , 619 are the prime numbers .

### What are the prime factors of 748990 ?

The prime factors of 748990 are 2 , 5 , 11 , 619 .

### Is 748990 a prime number ?

A prime number is a number that has only two factors 1 and itself.
748990 it is not a prime number because it has the factors 1 , 2 , 5 , 10 , 11 , 22 , 55 , 110 , 121 , 242 , 605 , 619 , 1210 , 1238 , 3095 , 6190 , 6809 , 13618 , 34045 , 68090 , 74899 , 149798 , 374495 and 748990.