# What are all the factors, the prime factorization, and factor pairs of 36400?

To find the factors of 36400, divide 36400 by each number starting with 1 and working up to 36400

## 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 36400 ?

To calculate the factors of 36400 , you can use the division method.

1. Begin by dividing 36400 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 36400.

3. Continue dividing 36400 by larger numbers until you find an odd number that does not divide evenly into 36400 .

4. The numbers that divide evenly into 36400 are the factors of 36400 .

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

36400 ÷ 1 = 36400
36400 ÷ 2 = 18200
36400 ÷ 4 = 9100
36400 ÷ 5 = 7280
36400 ÷ 7 = 5200
36400 ÷ 8 = 4550
36400 ÷ 10 = 3640
36400 ÷ 13 = 2800
36400 ÷ 14 = 2600
36400 ÷ 16 = 2275
36400 ÷ 20 = 1820
36400 ÷ 25 = 1456
36400 ÷ 26 = 1400
36400 ÷ 28 = 1300
36400 ÷ 35 = 1040
36400 ÷ 40 = 910
36400 ÷ 50 = 728
36400 ÷ 52 = 700
36400 ÷ 56 = 650
36400 ÷ 65 = 560
36400 ÷ 70 = 520
36400 ÷ 80 = 455
36400 ÷ 91 = 400
36400 ÷ 100 = 364
36400 ÷ 104 = 350
36400 ÷ 112 = 325
36400 ÷ 130 = 280
36400 ÷ 140 = 260
36400 ÷ 175 = 208
36400 ÷ 182 = 200
36400 ÷ 200 = 182
36400 ÷ 208 = 175
36400 ÷ 260 = 140
36400 ÷ 280 = 130
36400 ÷ 325 = 112
36400 ÷ 350 = 104
36400 ÷ 364 = 100
36400 ÷ 400 = 91
36400 ÷ 455 = 80
36400 ÷ 520 = 70
36400 ÷ 560 = 65
36400 ÷ 650 = 56
36400 ÷ 700 = 52
36400 ÷ 728 = 50
36400 ÷ 910 = 40
36400 ÷ 1040 = 35
36400 ÷ 1300 = 28
36400 ÷ 1400 = 26
36400 ÷ 1456 = 25
36400 ÷ 1820 = 20
36400 ÷ 2275 = 16
36400 ÷ 2600 = 14
36400 ÷ 2800 = 13
36400 ÷ 3640 = 10
36400 ÷ 4550 = 8
36400 ÷ 5200 = 7
36400 ÷ 7280 = 5
36400 ÷ 9100 = 4
36400 ÷ 18200 = 2
36400 ÷ 36400 = 1

As you can see, the factors of 36400 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 130 , 140 , 175 , 182 , 200 , 208 , 260 , 280 , 325 , 350 , 364 , 400 , 455 , 520 , 560 , 650 , 700 , 728 , 910 , 1040 , 1300 , 1400 , 1456 , 1820 , 2275 , 2600 , 2800 , 3640 , 4550 , 5200 , 7280 , 9100 , 18200 and 36400 .

## How many factors of 36400 are there ?

The factors of 36400 are the numbers that can evenly divide 36400 . These numbers are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 130 , 140 , 175 , 182 , 200 , 208 , 260 , 280 , 325 , 350 , 364 , 400 , 455 , 520 , 560 , 650 , 700 , 728 , 910 , 1040 , 1300 , 1400 , 1456 , 1820 , 2275 , 2600 , 2800 , 3640 , 4550 , 5200 , 7280 , 9100 , 18200 and 36400.

Thus, there are a total of 60 factors of 36400

## What are the factor pairs of 36400 ?

Factor Pairs of 36400 are combinations of two factors that when multiplied together equal 36400. There are many ways to calculate the factor pairs of 36400 .

One easy way is to list out the factors of 36400 :
1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 130 , 140 , 175 , 182 , 200 , 208 , 260 , 280 , 325 , 350 , 364 , 400 , 455 , 520 , 560 , 650 , 700 , 728 , 910 , 1040 , 1300 , 1400 , 1456 , 1820 , 2275 , 2600 , 2800 , 3640 , 4550 , 5200 , 7280 , 9100 , 18200 , 36400

Then, pair up the factors:
(1,36400),(2,18200),(4,9100),(5,7280),(7,5200),(8,4550),(10,3640),(13,2800),(14,2600),(16,2275),(20,1820),(25,1456),(26,1400),(28,1300),(35,1040),(40,910),(50,728),(52,700),(56,650),(65,560),(70,520),(80,455),(91,400),(100,364),(104,350),(112,325),(130,280),(140,260),(175,208) and (182,200) These are the factor pairs of 36400 .

## Prime Factorisation of 36400

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 36400 using a factor tree, we would start by writing 36400 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 36400 would be 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13.

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 36400 using this method, we keep dividing until it gives a non-zero remainder.

36400 ÷ 2 = 18200
18200 ÷ 2 = 9100
9100 ÷ 2 = 4550
4550 ÷ 2 = 2275
2275 ÷ 5 = 455
455 ÷ 5 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1

So the prime factors of 36400 are 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13.

## Frequently Asked Questions on Factors

### What are all the factors of 36400 ?

The factors of 36400 are 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 130 , 140 , 175 , 182 , 200 , 208 , 260 , 280 , 325 , 350 , 364 , 400 , 455 , 520 , 560 , 650 , 700 , 728 , 910 , 1040 , 1300 , 1400 , 1456 , 1820 , 2275 , 2600 , 2800 , 3640 , 4550 , 5200 , 7280 , 9100 , 18200 and 36400.

### What is the prime factorization of 36400 ?

The prime factorization of 36400 is 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 or 24 x 52 x 71 x 131, where 2 , 5 , 7 , 13 are the prime numbers .

### What are the prime factors of 36400 ?

The prime factors of 36400 are 2 , 5 , 7 , 13 .

### Is 36400 a prime number ?

A prime number is a number that has only two factors 1 and itself.
36400 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 8 , 10 , 13 , 14 , 16 , 20 , 25 , 26 , 28 , 35 , 40 , 50 , 52 , 56 , 65 , 70 , 80 , 91 , 100 , 104 , 112 , 130 , 140 , 175 , 182 , 200 , 208 , 260 , 280 , 325 , 350 , 364 , 400 , 455 , 520 , 560 , 650 , 700 , 728 , 910 , 1040 , 1300 , 1400 , 1456 , 1820 , 2275 , 2600 , 2800 , 3640 , 4550 , 5200 , 7280 , 9100 , 18200 and 36400.