Q: What are the factor combinations of the number 533,210,755?

 A:
Positive:   1 x 5332107555 x 1066421517 x 7617296511 x 4847370535 x 1523459355 x 969474177 x 6924815385 x 1384963
Negative: -1 x -533210755-5 x -106642151-7 x -76172965-11 x -48473705-35 x -15234593-55 x -9694741-77 x -6924815-385 x -1384963


How do I find the factor combinations of the number 533,210,755?

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 533,210,755, 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.

1 533,210,755
-1 -533,210,755

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 533,210,755.

Example:
1 x 533,210,755 = 533,210,755
and
-1 x -533,210,755 = 533,210,755
Notice both answers equal 533,210,755

With that explanation out of the way, let's continue. Next, we take the number 533,210,755 and divide it by 2:

533,210,755 ÷ 2 = 266,605,377.5

If the quotient is a whole number, then 2 and 266,605,377.5 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:

1 533,210,755
-1 -533,210,755

Now, we try dividing 533,210,755 by 3:

533,210,755 ÷ 3 = 177,736,918.3333

If the quotient is a whole number, then 3 and 177,736,918.3333 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:

1 533,210,755
-1 -533,210,755

Let's try dividing by 4:

533,210,755 ÷ 4 = 133,302,688.75

If the quotient is a whole number, then 4 and 133,302,688.75 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:

1 533,210,755
-1 533,210,755
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555773851,384,9636,924,8159,694,74115,234,59348,473,70576,172,965106,642,151533,210,755
-1-5-7-11-35-55-77-385-1,384,963-6,924,815-9,694,741-15,234,593-48,473,705-76,172,965-106,642,151-533,210,755

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