# What are all the factors, the prime factorization, and factor pairs of 1752?

To find the factors of 1752, divide 1752 by each number starting with 1 and working up to 1752

## 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 1752 ?

To calculate the factors of 1752 , you can use the division method.

1. Begin by dividing 1752 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 1752.

3. Continue dividing 1752 by larger numbers until you find an odd number that does not divide evenly into 1752 .

4. The numbers that divide evenly into 1752 are the factors of 1752 .

Now let us find how to calculate all the factors of One thousand seven hundred fifty-two :

1752 ÷ 1 = 1752
1752 ÷ 2 = 876
1752 ÷ 3 = 584
1752 ÷ 4 = 438
1752 ÷ 6 = 292
1752 ÷ 8 = 219
1752 ÷ 12 = 146
1752 ÷ 24 = 73
1752 ÷ 73 = 24
1752 ÷ 146 = 12
1752 ÷ 219 = 8
1752 ÷ 292 = 6
1752 ÷ 438 = 4
1752 ÷ 584 = 3
1752 ÷ 876 = 2
1752 ÷ 1752 = 1

As you can see, the factors of 1752 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 73 , 146 , 219 , 292 , 438 , 584 , 876 and 1752 .

## How many factors of 1752 are there ?

The factors of 1752 are the numbers that can evenly divide 1752 . These numbers are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 73 , 146 , 219 , 292 , 438 , 584 , 876 and 1752.

Thus, there are a total of 16 factors of 1752

## What are the factor pairs of 1752 ?

Factor Pairs of 1752 are combinations of two factors that when multiplied together equal 1752. There are many ways to calculate the factor pairs of 1752 .

One easy way is to list out the factors of 1752 :
1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 73 , 146 , 219 , 292 , 438 , 584 , 876 , 1752

Then, pair up the factors:
(1,1752),(2,876),(3,584),(4,438),(6,292),(8,219),(12,146) and (24,73) These are the factor pairs of 1752 .

## Prime Factorisation of 1752

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 1752 using a factor tree, we would start by writing 1752 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 1752 would be 2 x 2 x 2 x 3 x 73.

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 1752 using this method, we keep dividing until it gives a non-zero remainder.

1752 ÷ 2 = 876
876 ÷ 2 = 438
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1

So the prime factors of 1752 are 2 x 2 x 2 x 3 x 73.

## Frequently Asked Questions on Factors

### What are all the factors of 1752 ?

The factors of 1752 are 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 73 , 146 , 219 , 292 , 438 , 584 , 876 and 1752.

### What is the prime factorization of 1752 ?

The prime factorization of 1752 is 2 x 2 x 2 x 3 x 73 or 23 x 31 x 731, where 2 , 3 , 73 are the prime numbers .

### What are the prime factors of 1752 ?

The prime factors of 1752 are 2 , 3 , 73 .

### Is 1752 a prime number ?

A prime number is a number that has only two factors 1 and itself.
1752 it is not a prime number because it has the factors 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 73 , 146 , 219 , 292 , 438 , 584 , 876 and 1752.