Q: What are the factor combinations of the number 824,663,363?

 A:
Positive:   1 x 82466336337 x 2228819947 x 17546029199 x 41440371739 x 4742172383 x 3460617363 x 1120019353 x 88171
Negative: -1 x -824663363-37 x -22288199-47 x -17546029-199 x -4144037-1739 x -474217-2383 x -346061-7363 x -112001-9353 x -88171


How do I find the factor combinations of the number 824,663,363?

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 824,663,363, 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.

1 824,663,363
-1 -824,663,363

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 824,663,363.

Example:
1 x 824,663,363 = 824,663,363
and
-1 x -824,663,363 = 824,663,363
Notice both answers equal 824,663,363

With that explanation out of the way, let's continue. Next, we take the number 824,663,363 and divide it by 2:

824,663,363 ÷ 2 = 412,331,681.5

If the quotient is a whole number, then 2 and 412,331,681.5 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:

1 824,663,363
-1 -824,663,363

Now, we try dividing 824,663,363 by 3:

824,663,363 ÷ 3 = 274,887,787.6667

If the quotient is a whole number, then 3 and 274,887,787.6667 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:

1 824,663,363
-1 -824,663,363

Let's try dividing by 4:

824,663,363 ÷ 4 = 206,165,840.75

If the quotient is a whole number, then 4 and 206,165,840.75 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:

1 824,663,363
-1 824,663,363
Keep dividing by the next highest number until you cannot divide anymore.

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

137471991,7392,3837,3639,35388,171112,001346,061474,2174,144,03717,546,02922,288,199824,663,363
-1-37-47-199-1,739-2,383-7,363-9,353-88,171-112,001-346,061-474,217-4,144,037-17,546,029-22,288,199-824,663,363

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