# What are all the factors, the prime factorization, and factor pairs of 33500?

To find the factors of 33500, divide 33500 by each number starting with 1 and working up to 33500

## 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 33500 ?

To calculate the factors of 33500 , you can use the division method.

1. Begin by dividing 33500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 33500.

3. Continue dividing 33500 by larger numbers until you find an odd number that does not divide evenly into 33500 .

4. The numbers that divide evenly into 33500 are the factors of 33500 .

Now let us find how to calculate all the factors of Thirty-three thousand five hundred :

33500 ÷ 1 = 33500
33500 ÷ 2 = 16750
33500 ÷ 4 = 8375
33500 ÷ 5 = 6700
33500 ÷ 10 = 3350
33500 ÷ 20 = 1675
33500 ÷ 25 = 1340
33500 ÷ 50 = 670
33500 ÷ 67 = 500
33500 ÷ 100 = 335
33500 ÷ 125 = 268
33500 ÷ 134 = 250
33500 ÷ 250 = 134
33500 ÷ 268 = 125
33500 ÷ 335 = 100
33500 ÷ 500 = 67
33500 ÷ 670 = 50
33500 ÷ 1340 = 25
33500 ÷ 1675 = 20
33500 ÷ 3350 = 10
33500 ÷ 6700 = 5
33500 ÷ 8375 = 4
33500 ÷ 16750 = 2
33500 ÷ 33500 = 1

As you can see, the factors of 33500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 670 , 1340 , 1675 , 3350 , 6700 , 8375 , 16750 and 33500 .

## How many factors of 33500 are there ?

The factors of 33500 are the numbers that can evenly divide 33500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 670 , 1340 , 1675 , 3350 , 6700 , 8375 , 16750 and 33500.

Thus, there are a total of 24 factors of 33500

## What are the factor pairs of 33500 ?

Factor Pairs of 33500 are combinations of two factors that when multiplied together equal 33500. There are many ways to calculate the factor pairs of 33500 .

One easy way is to list out the factors of 33500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 670 , 1340 , 1675 , 3350 , 6700 , 8375 , 16750 , 33500

Then, pair up the factors:
(1,33500),(2,16750),(4,8375),(5,6700),(10,3350),(20,1675),(25,1340),(50,670),(67,500),(100,335),(125,268) and (134,250) These are the factor pairs of 33500 .

## Prime Factorisation of 33500

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 33500 using a factor tree, we would start by writing 33500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 33500 would be 2 x 2 x 5 x 5 x 5 x 67.

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 33500 using this method, we keep dividing until it gives a non-zero remainder.

33500 ÷ 2 = 16750
16750 ÷ 2 = 8375
8375 ÷ 5 = 1675
1675 ÷ 5 = 335
335 ÷ 5 = 67
67 ÷ 67 = 1

So the prime factors of 33500 are 2 x 2 x 5 x 5 x 5 x 67.

## Frequently Asked Questions on Factors

### What are all the factors of 33500 ?

The factors of 33500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 670 , 1340 , 1675 , 3350 , 6700 , 8375 , 16750 and 33500.

### What is the prime factorization of 33500 ?

The prime factorization of 33500 is 2 x 2 x 5 x 5 x 5 x 67 or 22 x 53 x 671, where 2 , 5 , 67 are the prime numbers .

### What are the prime factors of 33500 ?

The prime factors of 33500 are 2 , 5 , 67 .

### Is 33500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
33500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 670 , 1340 , 1675 , 3350 , 6700 , 8375 , 16750 and 33500.