Q: What are the factor combinations of the number 622,392?

 A:
Positive:   1 x 6223922 x 3111963 x 2074644 x 1555986 x 1037328 x 7779912 x 5186624 x 25933
Negative: -1 x -622392-2 x -311196-3 x -207464-4 x -155598-6 x -103732-8 x -77799-12 x -51866-24 x -25933


How do I find the factor combinations of the number 622,392?

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 divisors of larger numbers. To find the factor combinations of the number 622,392, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 622,392
-1 -622,392

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 622,392.

Example:
1 x 622,392 = 622,392
and
-1 x -622,392 = 622,392
Notice both answers equal 622,392

With that explanation out of the way, let's continue. Next, we take the number 622,392 and divide it by 2:

622,392 ÷ 2 = 311,196

If the quotient is a whole number, then 2 and 311,196 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 311,196 622,392
-1 -2 -311,196 -622,392

Now, we try dividing 622,392 by 3:

622,392 ÷ 3 = 207,464

If the quotient is a whole number, then 3 and 207,464 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 207,464 311,196 622,392
-1 -2 -3 -207,464 -311,196 -622,392

Let's try dividing by 4:

622,392 ÷ 4 = 155,598

If the quotient is a whole number, then 4 and 155,598 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 2 3 4 155,598 207,464 311,196 622,392
-1 -2 -3 -4 -155,598 -207,464 -311,196 622,392
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

123468122425,93351,86677,799103,732155,598207,464311,196622,392
-1-2-3-4-6-8-12-24-25,933-51,866-77,799-103,732-155,598-207,464-311,196-622,392

More Examples

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