Q: What are the factor combinations of the number 72,185,347?

 A:
Positive:   1 x 7218534713 x 555271943 x 1678729263 x 274469491 x 147017559 x 1291333419 x 211136383 x 11309
Negative: -1 x -72185347-13 x -5552719-43 x -1678729-263 x -274469-491 x -147017-559 x -129133-3419 x -21113-6383 x -11309


How do I find the factor combinations of the number 72,185,347?

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 72,185,347, 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 72,185,347
-1 -72,185,347

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 72,185,347.

Example:
1 x 72,185,347 = 72,185,347
and
-1 x -72,185,347 = 72,185,347
Notice both answers equal 72,185,347

With that explanation out of the way, let's continue. Next, we take the number 72,185,347 and divide it by 2:

72,185,347 ÷ 2 = 36,092,673.5

If the quotient is a whole number, then 2 and 36,092,673.5 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 72,185,347
-1 -72,185,347

Now, we try dividing 72,185,347 by 3:

72,185,347 ÷ 3 = 24,061,782.3333

If the quotient is a whole number, then 3 and 24,061,782.3333 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 72,185,347
-1 -72,185,347

Let's try dividing by 4:

72,185,347 ÷ 4 = 18,046,336.75

If the quotient is a whole number, then 4 and 18,046,336.75 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 72,185,347
-1 72,185,347
Keep dividing by the next highest number until you cannot divide anymore.

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

113432634915593,4196,38311,30921,113129,133147,017274,4691,678,7295,552,71972,185,347
-1-13-43-263-491-559-3,419-6,383-11,309-21,113-129,133-147,017-274,469-1,678,729-5,552,719-72,185,347

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