Q: What are the factor combinations of the number 563,010,313?

 A:
Positive:   1 x 56301031331 x 1816162367 x 8403139163 x 34540511663 x 3385512077 x 2710695053 x 11142110921 x 51553
Negative: -1 x -563010313-31 x -18161623-67 x -8403139-163 x -3454051-1663 x -338551-2077 x -271069-5053 x -111421-10921 x -51553


How do I find the factor combinations of the number 563,010,313?

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 563,010,313, 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.

1 563,010,313
-1 -563,010,313

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 563,010,313.

Example:
1 x 563,010,313 = 563,010,313
and
-1 x -563,010,313 = 563,010,313
Notice both answers equal 563,010,313

With that explanation out of the way, let's continue. Next, we take the number 563,010,313 and divide it by 2:

563,010,313 ÷ 2 = 281,505,156.5

If the quotient is a whole number, then 2 and 281,505,156.5 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:

1 563,010,313
-1 -563,010,313

Now, we try dividing 563,010,313 by 3:

563,010,313 ÷ 3 = 187,670,104.3333

If the quotient is a whole number, then 3 and 187,670,104.3333 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:

1 563,010,313
-1 -563,010,313

Let's try dividing by 4:

563,010,313 ÷ 4 = 140,752,578.25

If the quotient is a whole number, then 4 and 140,752,578.25 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:

1 563,010,313
-1 563,010,313
Keep dividing by the next highest number until you cannot divide anymore.

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

131671631,6632,0775,05310,92151,553111,421271,069338,5513,454,0518,403,13918,161,623563,010,313
-1-31-67-163-1,663-2,077-5,053-10,921-51,553-111,421-271,069-338,551-3,454,051-8,403,139-18,161,623-563,010,313

More Examples

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