Q: What are the factor combinations of the number 215,404,625?

 A:
Positive:   1 x 2154046255 x 4308092525 x 8616185125 x 1723237211 x 10208751055 x 2041755275 x 408358167 x 26375
Negative: -1 x -215404625-5 x -43080925-25 x -8616185-125 x -1723237-211 x -1020875-1055 x -204175-5275 x -40835-8167 x -26375


How do I find the factor combinations of the number 215,404,625?

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 215,404,625, 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.

1 215,404,625
-1 -215,404,625

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 215,404,625.

Example:
1 x 215,404,625 = 215,404,625
and
-1 x -215,404,625 = 215,404,625
Notice both answers equal 215,404,625

With that explanation out of the way, let's continue. Next, we take the number 215,404,625 and divide it by 2:

215,404,625 ÷ 2 = 107,702,312.5

If the quotient is a whole number, then 2 and 107,702,312.5 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:

1 215,404,625
-1 -215,404,625

Now, we try dividing 215,404,625 by 3:

215,404,625 ÷ 3 = 71,801,541.6667

If the quotient is a whole number, then 3 and 71,801,541.6667 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:

1 215,404,625
-1 -215,404,625

Let's try dividing by 4:

215,404,625 ÷ 4 = 53,851,156.25

If the quotient is a whole number, then 4 and 53,851,156.25 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:

1 215,404,625
-1 215,404,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252111,0555,2758,16726,37540,835204,1751,020,8751,723,2378,616,18543,080,925215,404,625
-1-5-25-125-211-1,055-5,275-8,167-26,375-40,835-204,175-1,020,875-1,723,237-8,616,185-43,080,925-215,404,625

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