Q: What are the factor combinations of the number 72,837,575?

 A:
Positive:   1 x 728375755 x 1456751525 x 291350373 x 997775107 x 680725365 x 199555373 x 195275535 x 1361451825 x 399111865 x 390552675 x 272297811 x 9325
Negative: -1 x -72837575-5 x -14567515-25 x -2913503-73 x -997775-107 x -680725-365 x -199555-373 x -195275-535 x -136145-1825 x -39911-1865 x -39055-2675 x -27229-7811 x -9325


How do I find the factor combinations of the number 72,837,575?

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 72,837,575, 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 72,837,575
-1 -72,837,575

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 72,837,575.

Example:
1 x 72,837,575 = 72,837,575
and
-1 x -72,837,575 = 72,837,575
Notice both answers equal 72,837,575

With that explanation out of the way, let's continue. Next, we take the number 72,837,575 and divide it by 2:

72,837,575 ÷ 2 = 36,418,787.5

If the quotient is a whole number, then 2 and 36,418,787.5 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 72,837,575
-1 -72,837,575

Now, we try dividing 72,837,575 by 3:

72,837,575 ÷ 3 = 24,279,191.6667

If the quotient is a whole number, then 3 and 24,279,191.6667 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 72,837,575
-1 -72,837,575

Let's try dividing by 4:

72,837,575 ÷ 4 = 18,209,393.75

If the quotient is a whole number, then 4 and 18,209,393.75 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 72,837,575
-1 72,837,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1525731073653735351,8251,8652,6757,8119,32527,22939,05539,911136,145195,275199,555680,725997,7752,913,50314,567,51572,837,575
-1-5-25-73-107-365-373-535-1,825-1,865-2,675-7,811-9,325-27,229-39,055-39,911-136,145-195,275-199,555-680,725-997,775-2,913,503-14,567,515-72,837,575

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