Q: What are the factor combinations of the number 533,557,631?

 A:
Positive:   1 x 53355763117 x 3138574329 x 1839853943 x 12408317493 x 1082267731 x 7299011247 x 42787321199 x 25169
Negative: -1 x -533557631-17 x -31385743-29 x -18398539-43 x -12408317-493 x -1082267-731 x -729901-1247 x -427873-21199 x -25169


How do I find the factor combinations of the number 533,557,631?

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 533,557,631, 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.

1 533,557,631
-1 -533,557,631

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 533,557,631.

Example:
1 x 533,557,631 = 533,557,631
and
-1 x -533,557,631 = 533,557,631
Notice both answers equal 533,557,631

With that explanation out of the way, let's continue. Next, we take the number 533,557,631 and divide it by 2:

533,557,631 ÷ 2 = 266,778,815.5

If the quotient is a whole number, then 2 and 266,778,815.5 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:

1 533,557,631
-1 -533,557,631

Now, we try dividing 533,557,631 by 3:

533,557,631 ÷ 3 = 177,852,543.6667

If the quotient is a whole number, then 3 and 177,852,543.6667 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:

1 533,557,631
-1 -533,557,631

Let's try dividing by 4:

533,557,631 ÷ 4 = 133,389,407.75

If the quotient is a whole number, then 4 and 133,389,407.75 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:

1 533,557,631
-1 533,557,631
Keep dividing by the next highest number until you cannot divide anymore.

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

11729434937311,24721,19925,169427,873729,9011,082,26712,408,31718,398,53931,385,743533,557,631
-1-17-29-43-493-731-1,247-21,199-25,169-427,873-729,901-1,082,267-12,408,317-18,398,539-31,385,743-533,557,631

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