Q: What are the factors or divisors of the number 21,948?

How do I find the factors or divisors of the number 21,948?

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 21,948, 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

21,948

Next, we take the number 21,948 and divide it by 2.

In this case, 21,948 ÷ 2 = 10,974

If the quotient is a whole number, then 2 and 10,974 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Now, we try dividing 21,948 by 3.

21,948 ÷ 3 = 7,316

If the quotient is a whole number, then 3 and 7,316 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:

Let's try dividing by 4.

21,948 ÷ 4 = 5,487

If the quotient is a whole number, then 4 and 5,487 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:

We keep dividing by the next largest number, in this case the number 5. If the quotient of 21,948 ÷ 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:

All of the numbers in the table above can be evenly divided into the number 21,948.

Finally, for your reference, here are all of the divisor combinations of the number 21,948:

1 x 219482 x 109743 x 73164 x 54876 x 365812 x 182931 x 70859 x 37262 x 35493 x 236118 x 186124 x 177

More Examples

Here are some more numbers to try:

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