# What are all the factors, the prime factorization, and factor pairs of 149500?

To find the factors of 149500, divide 149500 by each number starting with 1 and working up to 149500

## 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 149500 ?

To calculate the factors of 149500 , you can use the division method.

1. Begin by dividing 149500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 149500.

3. Continue dividing 149500 by larger numbers until you find an odd number that does not divide evenly into 149500 .

4. The numbers that divide evenly into 149500 are the factors of 149500 .

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

149500 ÷ 1 = 149500
149500 ÷ 2 = 74750
149500 ÷ 4 = 37375
149500 ÷ 5 = 29900
149500 ÷ 10 = 14950
149500 ÷ 13 = 11500
149500 ÷ 20 = 7475
149500 ÷ 23 = 6500
149500 ÷ 25 = 5980
149500 ÷ 26 = 5750
149500 ÷ 46 = 3250
149500 ÷ 50 = 2990
149500 ÷ 52 = 2875
149500 ÷ 65 = 2300
149500 ÷ 92 = 1625
149500 ÷ 100 = 1495
149500 ÷ 115 = 1300
149500 ÷ 125 = 1196
149500 ÷ 130 = 1150
149500 ÷ 230 = 650
149500 ÷ 250 = 598
149500 ÷ 260 = 575
149500 ÷ 299 = 500
149500 ÷ 325 = 460
149500 ÷ 460 = 325
149500 ÷ 500 = 299
149500 ÷ 575 = 260
149500 ÷ 598 = 250
149500 ÷ 650 = 230
149500 ÷ 1150 = 130
149500 ÷ 1196 = 125
149500 ÷ 1300 = 115
149500 ÷ 1495 = 100
149500 ÷ 1625 = 92
149500 ÷ 2300 = 65
149500 ÷ 2875 = 52
149500 ÷ 2990 = 50
149500 ÷ 3250 = 46
149500 ÷ 5750 = 26
149500 ÷ 5980 = 25
149500 ÷ 6500 = 23
149500 ÷ 7475 = 20
149500 ÷ 11500 = 13
149500 ÷ 14950 = 10
149500 ÷ 29900 = 5
149500 ÷ 37375 = 4
149500 ÷ 74750 = 2
149500 ÷ 149500 = 1

As you can see, the factors of 149500 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 23 , 25 , 26 , 46 , 50 , 52 , 65 , 92 , 100 , 115 , 125 , 130 , 230 , 250 , 260 , 299 , 325 , 460 , 500 , 575 , 598 , 650 , 1150 , 1196 , 1300 , 1495 , 1625 , 2300 , 2875 , 2990 , 3250 , 5750 , 5980 , 6500 , 7475 , 11500 , 14950 , 29900 , 37375 , 74750 and 149500 .

## How many factors of 149500 are there ?

The factors of 149500 are the numbers that can evenly divide 149500 . These numbers are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 23 , 25 , 26 , 46 , 50 , 52 , 65 , 92 , 100 , 115 , 125 , 130 , 230 , 250 , 260 , 299 , 325 , 460 , 500 , 575 , 598 , 650 , 1150 , 1196 , 1300 , 1495 , 1625 , 2300 , 2875 , 2990 , 3250 , 5750 , 5980 , 6500 , 7475 , 11500 , 14950 , 29900 , 37375 , 74750 and 149500.

Thus, there are a total of 48 factors of 149500

## What are the factor pairs of 149500 ?

Factor Pairs of 149500 are combinations of two factors that when multiplied together equal 149500. There are many ways to calculate the factor pairs of 149500 .

One easy way is to list out the factors of 149500 :
1 , 2 , 4 , 5 , 10 , 13 , 20 , 23 , 25 , 26 , 46 , 50 , 52 , 65 , 92 , 100 , 115 , 125 , 130 , 230 , 250 , 260 , 299 , 325 , 460 , 500 , 575 , 598 , 650 , 1150 , 1196 , 1300 , 1495 , 1625 , 2300 , 2875 , 2990 , 3250 , 5750 , 5980 , 6500 , 7475 , 11500 , 14950 , 29900 , 37375 , 74750 , 149500

Then, pair up the factors:
(1,149500),(2,74750),(4,37375),(5,29900),(10,14950),(13,11500),(20,7475),(23,6500),(25,5980),(26,5750),(46,3250),(50,2990),(52,2875),(65,2300),(92,1625),(100,1495),(115,1300),(125,1196),(130,1150),(230,650),(250,598),(260,575),(299,500) and (325,460) These are the factor pairs of 149500 .

## Prime Factorisation of 149500

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 149500 using a factor tree, we would start by writing 149500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 149500 would be 2 x 2 x 5 x 5 x 5 x 13 x 23.

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 149500 using this method, we keep dividing until it gives a non-zero remainder.

149500 ÷ 2 = 74750
74750 ÷ 2 = 37375
37375 ÷ 5 = 7475
7475 ÷ 5 = 1495
1495 ÷ 5 = 299
299 ÷ 13 = 23
23 ÷ 23 = 1

So the prime factors of 149500 are 2 x 2 x 5 x 5 x 5 x 13 x 23.

## Frequently Asked Questions on Factors

### What are all the factors of 149500 ?

The factors of 149500 are 1 , 2 , 4 , 5 , 10 , 13 , 20 , 23 , 25 , 26 , 46 , 50 , 52 , 65 , 92 , 100 , 115 , 125 , 130 , 230 , 250 , 260 , 299 , 325 , 460 , 500 , 575 , 598 , 650 , 1150 , 1196 , 1300 , 1495 , 1625 , 2300 , 2875 , 2990 , 3250 , 5750 , 5980 , 6500 , 7475 , 11500 , 14950 , 29900 , 37375 , 74750 and 149500.

### What is the prime factorization of 149500 ?

The prime factorization of 149500 is 2 x 2 x 5 x 5 x 5 x 13 x 23 or 22 x 53 x 131 x 231, where 2 , 5 , 13 , 23 are the prime numbers .

### What are the prime factors of 149500 ?

The prime factors of 149500 are 2 , 5 , 13 , 23 .

### Is 149500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
149500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 10 , 13 , 20 , 23 , 25 , 26 , 46 , 50 , 52 , 65 , 92 , 100 , 115 , 125 , 130 , 230 , 250 , 260 , 299 , 325 , 460 , 500 , 575 , 598 , 650 , 1150 , 1196 , 1300 , 1495 , 1625 , 2300 , 2875 , 2990 , 3250 , 5750 , 5980 , 6500 , 7475 , 11500 , 14950 , 29900 , 37375 , 74750 and 149500.