Q: What are the factors or divisors of the number 242,164?

 A: 124132652465793141862860541121082242164

How do I find the factors or divisors of the number 242,164?

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 242,164, 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.

1 242,164

Next, we take the number 242,164 and divide it by 2.

In this case, 242,164 ÷ 2 = 121,082

If the quotient is a whole number, then 2 and 121,082 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 121,082 242,164

Now, we try dividing 242,164 by 3.

242,164 ÷ 3 = 80,721.3333

If the quotient is a whole number, then 3 and 80,721.3333 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 2 121,082 242,164

Let's try dividing by 4.

242,164 ÷ 4 = 60,541

If the quotient is a whole number, then 4 and 60,541 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 60,541 121,082 242,164

We keep dividing by the next largest number, in this case the number 5. If the quotient of 242,164 ÷ 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:

1241326524,6579,31418,62860,541121,082242,164

All of the numbers in the table above can be evenly divided into the number 242,164.

Finally, for your reference, here are all of the divisor combinations of the number 242,164:

1 x 242164
2 x 121082
4 x 60541
13 x 18628
26 x 9314
52 x 4657


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