# What are all the factors, the prime factorization, and factor pairs of 42700?

To find the factors of 42700, divide 42700 by each number starting with 1 and working up to 42700

## 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 42700 ?

To calculate the factors of 42700 , you can use the division method.

1. Begin by dividing 42700 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 42700.

3. Continue dividing 42700 by larger numbers until you find an odd number that does not divide evenly into 42700 .

4. The numbers that divide evenly into 42700 are the factors of 42700 .

Now let us find how to calculate all the factors of Forty-two thousand seven hundred :

42700 ÷ 1 = 42700
42700 ÷ 2 = 21350
42700 ÷ 4 = 10675
42700 ÷ 5 = 8540
42700 ÷ 7 = 6100
42700 ÷ 10 = 4270
42700 ÷ 14 = 3050
42700 ÷ 20 = 2135
42700 ÷ 25 = 1708
42700 ÷ 28 = 1525
42700 ÷ 35 = 1220
42700 ÷ 50 = 854
42700 ÷ 61 = 700
42700 ÷ 70 = 610
42700 ÷ 100 = 427
42700 ÷ 122 = 350
42700 ÷ 140 = 305
42700 ÷ 175 = 244
42700 ÷ 244 = 175
42700 ÷ 305 = 140
42700 ÷ 350 = 122
42700 ÷ 427 = 100
42700 ÷ 610 = 70
42700 ÷ 700 = 61
42700 ÷ 854 = 50
42700 ÷ 1220 = 35
42700 ÷ 1525 = 28
42700 ÷ 1708 = 25
42700 ÷ 2135 = 20
42700 ÷ 3050 = 14
42700 ÷ 4270 = 10
42700 ÷ 6100 = 7
42700 ÷ 8540 = 5
42700 ÷ 10675 = 4
42700 ÷ 21350 = 2
42700 ÷ 42700 = 1

As you can see, the factors of 42700 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 61 , 70 , 100 , 122 , 140 , 175 , 244 , 305 , 350 , 427 , 610 , 700 , 854 , 1220 , 1525 , 1708 , 2135 , 3050 , 4270 , 6100 , 8540 , 10675 , 21350 and 42700 .

## How many factors of 42700 are there ?

The factors of 42700 are the numbers that can evenly divide 42700 . These numbers are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 61 , 70 , 100 , 122 , 140 , 175 , 244 , 305 , 350 , 427 , 610 , 700 , 854 , 1220 , 1525 , 1708 , 2135 , 3050 , 4270 , 6100 , 8540 , 10675 , 21350 and 42700.

Thus, there are a total of 36 factors of 42700

## What are the factor pairs of 42700 ?

Factor Pairs of 42700 are combinations of two factors that when multiplied together equal 42700. There are many ways to calculate the factor pairs of 42700 .

One easy way is to list out the factors of 42700 :
1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 61 , 70 , 100 , 122 , 140 , 175 , 244 , 305 , 350 , 427 , 610 , 700 , 854 , 1220 , 1525 , 1708 , 2135 , 3050 , 4270 , 6100 , 8540 , 10675 , 21350 , 42700

Then, pair up the factors:
(1,42700),(2,21350),(4,10675),(5,8540),(7,6100),(10,4270),(14,3050),(20,2135),(25,1708),(28,1525),(35,1220),(50,854),(61,700),(70,610),(100,427),(122,350),(140,305) and (175,244) These are the factor pairs of 42700 .

## Prime Factorisation of 42700

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 42700 using a factor tree, we would start by writing 42700 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 42700 would be 2 x 2 x 5 x 5 x 7 x 61.

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 42700 using this method, we keep dividing until it gives a non-zero remainder.

42700 ÷ 2 = 21350
21350 ÷ 2 = 10675
10675 ÷ 5 = 2135
2135 ÷ 5 = 427
427 ÷ 7 = 61
61 ÷ 61 = 1

So the prime factors of 42700 are 2 x 2 x 5 x 5 x 7 x 61.

## Frequently Asked Questions on Factors

### What are all the factors of 42700 ?

The factors of 42700 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 61 , 70 , 100 , 122 , 140 , 175 , 244 , 305 , 350 , 427 , 610 , 700 , 854 , 1220 , 1525 , 1708 , 2135 , 3050 , 4270 , 6100 , 8540 , 10675 , 21350 and 42700.

### What is the prime factorization of 42700 ?

The prime factorization of 42700 is 2 x 2 x 5 x 5 x 7 x 61 or 22 x 52 x 71 x 611, where 2 , 5 , 7 , 61 are the prime numbers .

### What are the prime factors of 42700 ?

The prime factors of 42700 are 2 , 5 , 7 , 61 .

### Is 42700 a prime number ?

A prime number is a number that has only two factors 1 and itself.
42700 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 61 , 70 , 100 , 122 , 140 , 175 , 244 , 305 , 350 , 427 , 610 , 700 , 854 , 1220 , 1525 , 1708 , 2135 , 3050 , 4270 , 6100 , 8540 , 10675 , 21350 and 42700.