Q: What are the factor combinations of the number 10,363,625?

 A:
Positive:   1 x 103636255 x 207272517 x 60962525 x 41454585 x 121925125 x 82909425 x 243852125 x 4877
Negative: -1 x -10363625-5 x -2072725-17 x -609625-25 x -414545-85 x -121925-125 x -82909-425 x -24385-2125 x -4877


How do I find the factor combinations of the number 10,363,625?

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 10,363,625, 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 10,363,625
-1 -10,363,625

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 10,363,625.

Example:
1 x 10,363,625 = 10,363,625
and
-1 x -10,363,625 = 10,363,625
Notice both answers equal 10,363,625

With that explanation out of the way, let's continue. Next, we take the number 10,363,625 and divide it by 2:

10,363,625 ÷ 2 = 5,181,812.5

If the quotient is a whole number, then 2 and 5,181,812.5 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 10,363,625
-1 -10,363,625

Now, we try dividing 10,363,625 by 3:

10,363,625 ÷ 3 = 3,454,541.6667

If the quotient is a whole number, then 3 and 3,454,541.6667 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 10,363,625
-1 -10,363,625

Let's try dividing by 4:

10,363,625 ÷ 4 = 2,590,906.25

If the quotient is a whole number, then 4 and 2,590,906.25 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 10,363,625
-1 10,363,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,1254,87724,38582,909121,925414,545609,6252,072,72510,363,625
-1-5-17-25-85-125-425-2,125-4,877-24,385-82,909-121,925-414,545-609,625-2,072,725-10,363,625

More Examples

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