Question

Find number when dovisor is-324 and quotient is 18

Answer 1

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 324, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 324

Next, we take the number 324 and divide it by 2.

In this case, 2 ÷ 324 = 162

If the quotient is a whole number, then 2 and 162 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 162 324

Now, we try dividing 324 by 3.

324 ÷ 3 = 108

If the quotient is a whole number, then 3 and 108 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 108 162 324

Let's try dividing by 4.

324 ÷ 4 = 81

If the quotient is a whole number, then 4 and 81 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 2 3 4 81 108 162 324

We keep dividing by the next largest number, in this case the number 5. If the quotient of 5 ÷ 324 is a whole number, then 5 and your quotient are factors of the number.

Keep dividing by the next highest number until you cannot divide anymore.

What you will end up with is this table:

1 2 3 4 6 9 12 18 27 36 54 81 108 162 324

All of the numbers in the table above can be evenly divided into the number 324.

Finally, for your reference, here are all of the divisor combinations of the number 324:

1 x 324

2 x 162

3 x 108

4 x 81

6 x 54

9 x 36

12 x 27

18 x 18