Q: What are the factors or divisors of the number 48,388?

 A: 124120972419448388

How do I find the factors or divisors of the number 48,388?

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 48,388, 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 48,388

Next, we take the number 48,388 and divide it by 2.

In this case, 48,388 ÷ 2 = 24,194

If the quotient is a whole number, then 2 and 24,194 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 24,194 48,388

Now, we try dividing 48,388 by 3.

48,388 ÷ 3 = 16,129.3333

If the quotient is a whole number, then 3 and 16,129.3333 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 24,194 48,388

Let's try dividing by 4.

48,388 ÷ 4 = 12,097

If the quotient is a whole number, then 4 and 12,097 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 4 12,097 24,194 48,388

We keep dividing by the next largest number, in this case the number 5. If the quotient of 48,388 ÷ 5 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:

12412,09724,19448,388

All of the numbers in the table above can be evenly divided into the number 48,388.

Finally, for your reference, here are all of the divisor combinations of the number 48,388:

1 x 48388
2 x 24194
4 x 12097


More Examples

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