Q: What are the factor combinations of the number 216,725,125?

 A:
Positive:   1 x 2167251255 x 4334502525 x 8669005125 x 1733801
Negative: -1 x -216725125-5 x -43345025-25 x -8669005-125 x -1733801


How do I find the factor combinations of the number 216,725,125?

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 216,725,125, 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.

1 216,725,125
-1 -216,725,125

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 216,725,125.

Example:
1 x 216,725,125 = 216,725,125
and
-1 x -216,725,125 = 216,725,125
Notice both answers equal 216,725,125

With that explanation out of the way, let's continue. Next, we take the number 216,725,125 and divide it by 2:

216,725,125 ÷ 2 = 108,362,562.5

If the quotient is a whole number, then 2 and 108,362,562.5 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:

1 216,725,125
-1 -216,725,125

Now, we try dividing 216,725,125 by 3:

216,725,125 ÷ 3 = 72,241,708.3333

If the quotient is a whole number, then 3 and 72,241,708.3333 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:

1 216,725,125
-1 -216,725,125

Let's try dividing by 4:

216,725,125 ÷ 4 = 54,181,281.25

If the quotient is a whole number, then 4 and 54,181,281.25 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:

1 216,725,125
-1 216,725,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251,733,8018,669,00543,345,025216,725,125
-1-5-25-125-1,733,801-8,669,005-43,345,025-216,725,125

More Examples

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