# What are all the factors, the prime factorization, and factor pairs of 3500?

To find the factors of 3500, divide 3500 by each number starting with 1 and working up to 3500

## 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 3500 ?

To calculate the factors of 3500 , you can use the division method.

1. Begin by dividing 3500 by the smallest possible number, which is 2.

2. If the division is even, then 2 is a factor of 3500.

3. Continue dividing 3500 by larger numbers until you find an odd number that does not divide evenly into 3500 .

4. The numbers that divide evenly into 3500 are the factors of 3500 .

Now let us find how to calculate all the factors of Three thousand five hundred :

3500 ÷ 1 = 3500
3500 ÷ 2 = 1750
3500 ÷ 4 = 875
3500 ÷ 5 = 700
3500 ÷ 7 = 500
3500 ÷ 10 = 350
3500 ÷ 14 = 250
3500 ÷ 20 = 175
3500 ÷ 25 = 140
3500 ÷ 28 = 125
3500 ÷ 35 = 100
3500 ÷ 50 = 70
3500 ÷ 70 = 50
3500 ÷ 100 = 35
3500 ÷ 125 = 28
3500 ÷ 140 = 25
3500 ÷ 175 = 20
3500 ÷ 250 = 14
3500 ÷ 350 = 10
3500 ÷ 500 = 7
3500 ÷ 700 = 5
3500 ÷ 875 = 4
3500 ÷ 1750 = 2
3500 ÷ 3500 = 1

As you can see, the factors of 3500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 and 3500 .

## How many factors of 3500 are there ?

The factors of 3500 are the numbers that can evenly divide 3500 . These numbers are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 and 3500.

Thus, there are a total of 24 factors of 3500

## What are the factor pairs of 3500 ?

Factor Pairs of 3500 are combinations of two factors that when multiplied together equal 3500. There are many ways to calculate the factor pairs of 3500 .

One easy way is to list out the factors of 3500 :
1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 , 3500

Then, pair up the factors:
(1,3500),(2,1750),(4,875),(5,700),(7,500),(10,350),(14,250),(20,175),(25,140),(28,125),(35,100) and (50,70) These are the factor pairs of 3500 .

## Prime Factorisation of 3500

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 3500 using a factor tree, we would start by writing 3500 on a piece of paper. Then, we would draw a line under it and begin finding factors.

The final prime factorization of 3500 would be 2 x 2 x 5 x 5 x 5 x 7.

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 3500 using this method, we keep dividing until it gives a non-zero remainder.

3500 ÷ 2 = 1750
1750 ÷ 2 = 875
875 ÷ 5 = 175
175 ÷ 5 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So the prime factors of 3500 are 2 x 2 x 5 x 5 x 5 x 7.

## Frequently Asked Questions on Factors

### What are all the factors of 3500 ?

The factors of 3500 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 and 3500.

### What is the prime factorization of 3500 ?

The prime factorization of 3500 is 2 x 2 x 5 x 5 x 5 x 7 or 22 x 53 x 71, where 2 , 5 , 7 are the prime numbers .

### What are the prime factors of 3500 ?

The prime factors of 3500 are 2 , 5 , 7 .

### Is 3500 a prime number ?

A prime number is a number that has only two factors 1 and itself.
3500 it is not a prime number because it has the factors 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 25 , 28 , 35 , 50 , 70 , 100 , 125 , 140 , 175 , 250 , 350 , 500 , 700 , 875 , 1750 and 3500.