# What are all the factors, the prime factorization, and factor pairs of 167500?

To find the factors of 167500, divide 167500 by each number starting with 1 and working up to 167500

## 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 167500 ?

To calculate the factors of 167500 , you can use the division method.

1. Begin by dividing 167500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 167500.

3. Continue dividing 167500 by larger numbers until you find an odd number that does not divide evenly into 167500 .

4. The numbers that divide evenly into 167500 are the factors of 167500 .

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

167500 ÷ 1 = 167500
167500 ÷ 2 = 83750
167500 ÷ 4 = 41875
167500 ÷ 5 = 33500
167500 ÷ 10 = 16750
167500 ÷ 20 = 8375
167500 ÷ 25 = 6700
167500 ÷ 50 = 3350
167500 ÷ 67 = 2500
167500 ÷ 100 = 1675
167500 ÷ 125 = 1340
167500 ÷ 134 = 1250
167500 ÷ 250 = 670
167500 ÷ 268 = 625
167500 ÷ 335 = 500
167500 ÷ 500 = 335
167500 ÷ 625 = 268
167500 ÷ 670 = 250
167500 ÷ 1250 = 134
167500 ÷ 1340 = 125
167500 ÷ 1675 = 100
167500 ÷ 2500 = 67
167500 ÷ 3350 = 50
167500 ÷ 6700 = 25
167500 ÷ 8375 = 20
167500 ÷ 16750 = 10
167500 ÷ 33500 = 5
167500 ÷ 41875 = 4
167500 ÷ 83750 = 2
167500 ÷ 167500 = 1

As you can see, the factors of 167500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 625 , 670 , 1250 , 1340 , 1675 , 2500 , 3350 , 6700 , 8375 , 16750 , 33500 , 41875 , 83750 and 167500 .

## How many factors of 167500 are there ?

The factors of 167500 are the numbers that can evenly divide 167500 . These numbers are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 625 , 670 , 1250 , 1340 , 1675 , 2500 , 3350 , 6700 , 8375 , 16750 , 33500 , 41875 , 83750 and 167500.

Thus, there are a total of 30 factors of 167500

## What are the factor pairs of 167500 ?

Factor Pairs of 167500 are combinations of two factors that when multiplied together equal 167500. There are many ways to calculate the factor pairs of 167500 .

One easy way is to list out the factors of 167500 :
1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 625 , 670 , 1250 , 1340 , 1675 , 2500 , 3350 , 6700 , 8375 , 16750 , 33500 , 41875 , 83750 , 167500

Then, pair up the factors:
(1,167500),(2,83750),(4,41875),(5,33500),(10,16750),(20,8375),(25,6700),(50,3350),(67,2500),(100,1675),(125,1340),(134,1250),(250,670),(268,625) and (335,500) These are the factor pairs of 167500 .

## Prime Factorisation of 167500

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 167500 using a factor tree, we would start by writing 167500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 167500 would be 2 x 2 x 5 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 167500 using this method, we keep dividing until it gives a non-zero remainder.

167500 ÷ 2 = 83750
83750 ÷ 2 = 41875
41875 ÷ 5 = 8375
8375 ÷ 5 = 1675
1675 ÷ 5 = 335
335 ÷ 5 = 67
67 ÷ 67 = 1

So the prime factors of 167500 are 2 x 2 x 5 x 5 x 5 x 5 x 67.

## Frequently Asked Questions on Factors

### What are all the factors of 167500 ?

The factors of 167500 are 1 , 2 , 4 , 5 , 10 , 20 , 25 , 50 , 67 , 100 , 125 , 134 , 250 , 268 , 335 , 500 , 625 , 670 , 1250 , 1340 , 1675 , 2500 , 3350 , 6700 , 8375 , 16750 , 33500 , 41875 , 83750 and 167500.

### What is the prime factorization of 167500 ?

The prime factorization of 167500 is 2 x 2 x 5 x 5 x 5 x 5 x 67 or 22 x 54 x 671, where 2 , 5 , 67 are the prime numbers .

### What are the prime factors of 167500 ?

The prime factors of 167500 are 2 , 5 , 67 .

### Is 167500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
167500 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 , 625 , 670 , 1250 , 1340 , 1675 , 2500 , 3350 , 6700 , 8375 , 16750 , 33500 , 41875 , 83750 and 167500.