Q: What are the factor combinations of the number 563,661,625?

 A:
Positive:   1 x 5636616255 x 11273232525 x 2254646553 x 10635125125 x 4509293265 x 21270251325 x 4254056625 x 85081
Negative: -1 x -563661625-5 x -112732325-25 x -22546465-53 x -10635125-125 x -4509293-265 x -2127025-1325 x -425405-6625 x -85081


How do I find the factor combinations of the number 563,661,625?

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 563,661,625, 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.

1 563,661,625
-1 -563,661,625

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 563,661,625.

Example:
1 x 563,661,625 = 563,661,625
and
-1 x -563,661,625 = 563,661,625
Notice both answers equal 563,661,625

With that explanation out of the way, let's continue. Next, we take the number 563,661,625 and divide it by 2:

563,661,625 ÷ 2 = 281,830,812.5

If the quotient is a whole number, then 2 and 281,830,812.5 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:

1 563,661,625
-1 -563,661,625

Now, we try dividing 563,661,625 by 3:

563,661,625 ÷ 3 = 187,887,208.3333

If the quotient is a whole number, then 3 and 187,887,208.3333 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:

1 563,661,625
-1 -563,661,625

Let's try dividing by 4:

563,661,625 ÷ 4 = 140,915,406.25

If the quotient is a whole number, then 4 and 140,915,406.25 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:

1 563,661,625
-1 563,661,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525531252651,3256,62585,081425,4052,127,0254,509,29310,635,12522,546,465112,732,325563,661,625
-1-5-25-53-125-265-1,325-6,625-85,081-425,405-2,127,025-4,509,293-10,635,125-22,546,465-112,732,325-563,661,625

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