# What are all the factors, the prime factorization, and factor pairs of 88400?

To find the factors of 88400, divide 88400 by each number starting with 1 and working up to 88400

## 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 88400 ?

To calculate the factors of 88400 , you can use the division method.

1. Begin by dividing 88400 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 88400.

3. Continue dividing 88400 by larger numbers until you find an odd number that does not divide evenly into 88400 .

4. The numbers that divide evenly into 88400 are the factors of 88400 .

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

88400 ÷ 1 = 88400
88400 ÷ 2 = 44200
88400 ÷ 4 = 22100
88400 ÷ 5 = 17680
88400 ÷ 8 = 11050
88400 ÷ 10 = 8840
88400 ÷ 13 = 6800
88400 ÷ 16 = 5525
88400 ÷ 17 = 5200
88400 ÷ 20 = 4420
88400 ÷ 25 = 3536
88400 ÷ 26 = 3400
88400 ÷ 34 = 2600
88400 ÷ 40 = 2210
88400 ÷ 50 = 1768
88400 ÷ 52 = 1700
88400 ÷ 65 = 1360
88400 ÷ 68 = 1300
88400 ÷ 80 = 1105
88400 ÷ 85 = 1040
88400 ÷ 100 = 884
88400 ÷ 104 = 850
88400 ÷ 130 = 680
88400 ÷ 136 = 650
88400 ÷ 170 = 520
88400 ÷ 200 = 442
88400 ÷ 208 = 425
88400 ÷ 221 = 400
88400 ÷ 260 = 340
88400 ÷ 272 = 325
88400 ÷ 325 = 272
88400 ÷ 340 = 260
88400 ÷ 400 = 221
88400 ÷ 425 = 208
88400 ÷ 442 = 200
88400 ÷ 520 = 170
88400 ÷ 650 = 136
88400 ÷ 680 = 130
88400 ÷ 850 = 104
88400 ÷ 884 = 100
88400 ÷ 1040 = 85
88400 ÷ 1105 = 80
88400 ÷ 1300 = 68
88400 ÷ 1360 = 65
88400 ÷ 1700 = 52
88400 ÷ 1768 = 50
88400 ÷ 2210 = 40
88400 ÷ 2600 = 34
88400 ÷ 3400 = 26
88400 ÷ 3536 = 25
88400 ÷ 4420 = 20
88400 ÷ 5200 = 17
88400 ÷ 5525 = 16
88400 ÷ 6800 = 13
88400 ÷ 8840 = 10
88400 ÷ 11050 = 8
88400 ÷ 17680 = 5
88400 ÷ 22100 = 4
88400 ÷ 44200 = 2
88400 ÷ 88400 = 1

As you can see, the factors of 88400 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 17 , 20 , 25 , 26 , 34 , 40 , 50 , 52 , 65 , 68 , 80 , 85 , 100 , 104 , 130 , 136 , 170 , 200 , 208 , 221 , 260 , 272 , 325 , 340 , 400 , 425 , 442 , 520 , 650 , 680 , 850 , 884 , 1040 , 1105 , 1300 , 1360 , 1700 , 1768 , 2210 , 2600 , 3400 , 3536 , 4420 , 5200 , 5525 , 6800 , 8840 , 11050 , 17680 , 22100 , 44200 and 88400 .

## How many factors of 88400 are there ?

The factors of 88400 are the numbers that can evenly divide 88400 . These numbers are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 17 , 20 , 25 , 26 , 34 , 40 , 50 , 52 , 65 , 68 , 80 , 85 , 100 , 104 , 130 , 136 , 170 , 200 , 208 , 221 , 260 , 272 , 325 , 340 , 400 , 425 , 442 , 520 , 650 , 680 , 850 , 884 , 1040 , 1105 , 1300 , 1360 , 1700 , 1768 , 2210 , 2600 , 3400 , 3536 , 4420 , 5200 , 5525 , 6800 , 8840 , 11050 , 17680 , 22100 , 44200 and 88400.

Thus, there are a total of 60 factors of 88400

## What are the factor pairs of 88400 ?

Factor Pairs of 88400 are combinations of two factors that when multiplied together equal 88400. There are many ways to calculate the factor pairs of 88400 .

One easy way is to list out the factors of 88400 :
1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 17 , 20 , 25 , 26 , 34 , 40 , 50 , 52 , 65 , 68 , 80 , 85 , 100 , 104 , 130 , 136 , 170 , 200 , 208 , 221 , 260 , 272 , 325 , 340 , 400 , 425 , 442 , 520 , 650 , 680 , 850 , 884 , 1040 , 1105 , 1300 , 1360 , 1700 , 1768 , 2210 , 2600 , 3400 , 3536 , 4420 , 5200 , 5525 , 6800 , 8840 , 11050 , 17680 , 22100 , 44200 , 88400

Then, pair up the factors:
(1,88400),(2,44200),(4,22100),(5,17680),(8,11050),(10,8840),(13,6800),(16,5525),(17,5200),(20,4420),(25,3536),(26,3400),(34,2600),(40,2210),(50,1768),(52,1700),(65,1360),(68,1300),(80,1105),(85,1040),(100,884),(104,850),(130,680),(136,650),(170,520),(200,442),(208,425),(221,400),(260,340) and (272,325) These are the factor pairs of 88400 .

## Prime Factorisation of 88400

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 88400 using a factor tree, we would start by writing 88400 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 88400 would be 2 x 2 x 2 x 2 x 5 x 5 x 13 x 17.

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 88400 using this method, we keep dividing until it gives a non-zero remainder.

88400 ÷ 2 = 44200
44200 ÷ 2 = 22100
22100 ÷ 2 = 11050
11050 ÷ 2 = 5525
5525 ÷ 5 = 1105
1105 ÷ 5 = 221
221 ÷ 13 = 17
17 ÷ 17 = 1

So the prime factors of 88400 are 2 x 2 x 2 x 2 x 5 x 5 x 13 x 17.

## Frequently Asked Questions on Factors

### What are all the factors of 88400 ?

The factors of 88400 are 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 17 , 20 , 25 , 26 , 34 , 40 , 50 , 52 , 65 , 68 , 80 , 85 , 100 , 104 , 130 , 136 , 170 , 200 , 208 , 221 , 260 , 272 , 325 , 340 , 400 , 425 , 442 , 520 , 650 , 680 , 850 , 884 , 1040 , 1105 , 1300 , 1360 , 1700 , 1768 , 2210 , 2600 , 3400 , 3536 , 4420 , 5200 , 5525 , 6800 , 8840 , 11050 , 17680 , 22100 , 44200 and 88400.

### What is the prime factorization of 88400 ?

The prime factorization of 88400 is 2 x 2 x 2 x 2 x 5 x 5 x 13 x 17 or 24 x 52 x 131 x 171, where 2 , 5 , 13 , 17 are the prime numbers .

### What are the prime factors of 88400 ?

The prime factors of 88400 are 2 , 5 , 13 , 17 .

### Is 88400 a prime number ?

A prime number is a number that has only two factors 1 and itself.
88400 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 8 , 10 , 13 , 16 , 17 , 20 , 25 , 26 , 34 , 40 , 50 , 52 , 65 , 68 , 80 , 85 , 100 , 104 , 130 , 136 , 170 , 200 , 208 , 221 , 260 , 272 , 325 , 340 , 400 , 425 , 442 , 520 , 650 , 680 , 850 , 884 , 1040 , 1105 , 1300 , 1360 , 1700 , 1768 , 2210 , 2600 , 3400 , 3536 , 4420 , 5200 , 5525 , 6800 , 8840 , 11050 , 17680 , 22100 , 44200 and 88400.