Q: What are the factor combinations of the number 253,992,267?

 A:
Positive:   1 x 2539922673 x 846640899 x 2822136327 x 940712181 x 3135707
Negative: -1 x -253992267-3 x -84664089-9 x -28221363-27 x -9407121-81 x -3135707


How do I find the factor combinations of the number 253,992,267?

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 253,992,267, 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.

1 253,992,267
-1 -253,992,267

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 253,992,267.

Example:
1 x 253,992,267 = 253,992,267
and
-1 x -253,992,267 = 253,992,267
Notice both answers equal 253,992,267

With that explanation out of the way, let's continue. Next, we take the number 253,992,267 and divide it by 2:

253,992,267 ÷ 2 = 126,996,133.5

If the quotient is a whole number, then 2 and 126,996,133.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 253,992,267
-1 -253,992,267

Now, we try dividing 253,992,267 by 3:

253,992,267 ÷ 3 = 84,664,089

If the quotient is a whole number, then 3 and 84,664,089 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 3 84,664,089 253,992,267
-1 -3 -84,664,089 -253,992,267

Let's try dividing by 4:

253,992,267 ÷ 4 = 63,498,066.75

If the quotient is a whole number, then 4 and 63,498,066.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

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

1 3 84,664,089 253,992,267
-1 -3 -84,664,089 253,992,267
Keep dividing by the next highest number until you cannot divide anymore.

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

13927813,135,7079,407,12128,221,36384,664,089253,992,267
-1-3-9-27-81-3,135,707-9,407,121-28,221,363-84,664,089-253,992,267

More Examples

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