Q: What are the factor combinations of the number 72,514,325?

 A:
Positive:   1 x 725143255 x 1450286513 x 557802525 x 290057365 x 1115605325 x 223121347 x 208975643 x 1127751735 x 417953215 x 225554511 x 160758359 x 8675
Negative: -1 x -72514325-5 x -14502865-13 x -5578025-25 x -2900573-65 x -1115605-325 x -223121-347 x -208975-643 x -112775-1735 x -41795-3215 x -22555-4511 x -16075-8359 x -8675


How do I find the factor combinations of the number 72,514,325?

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 72,514,325, 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 72,514,325
-1 -72,514,325

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 72,514,325.

Example:
1 x 72,514,325 = 72,514,325
and
-1 x -72,514,325 = 72,514,325
Notice both answers equal 72,514,325

With that explanation out of the way, let's continue. Next, we take the number 72,514,325 and divide it by 2:

72,514,325 ÷ 2 = 36,257,162.5

If the quotient is a whole number, then 2 and 36,257,162.5 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 72,514,325
-1 -72,514,325

Now, we try dividing 72,514,325 by 3:

72,514,325 ÷ 3 = 24,171,441.6667

If the quotient is a whole number, then 3 and 24,171,441.6667 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 72,514,325
-1 -72,514,325

Let's try dividing by 4:

72,514,325 ÷ 4 = 18,128,581.25

If the quotient is a whole number, then 4 and 18,128,581.25 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 72,514,325
-1 72,514,325
Keep dividing by the next highest number until you cannot divide anymore.

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

151325653253476431,7353,2154,5118,3598,67516,07522,55541,795112,775208,975223,1211,115,6052,900,5735,578,02514,502,86572,514,325
-1-5-13-25-65-325-347-643-1,735-3,215-4,511-8,359-8,675-16,075-22,555-41,795-112,775-208,975-223,121-1,115,605-2,900,573-5,578,025-14,502,865-72,514,325

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