Q: What are the factor combinations of the number 72,308,873?

 A:
Positive:   1 x 723088737 x 1032983913 x 556222191 x 794603353 x 2048412251 x 321232471 x 292634589 x 15757
Negative: -1 x -72308873-7 x -10329839-13 x -5562221-91 x -794603-353 x -204841-2251 x -32123-2471 x -29263-4589 x -15757


How do I find the factor combinations of the number 72,308,873?

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 72,308,873, 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 72,308,873
-1 -72,308,873

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 72,308,873.

Example:
1 x 72,308,873 = 72,308,873
and
-1 x -72,308,873 = 72,308,873
Notice both answers equal 72,308,873

With that explanation out of the way, let's continue. Next, we take the number 72,308,873 and divide it by 2:

72,308,873 ÷ 2 = 36,154,436.5

If the quotient is a whole number, then 2 and 36,154,436.5 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 72,308,873
-1 -72,308,873

Now, we try dividing 72,308,873 by 3:

72,308,873 ÷ 3 = 24,102,957.6667

If the quotient is a whole number, then 3 and 24,102,957.6667 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 72,308,873
-1 -72,308,873

Let's try dividing by 4:

72,308,873 ÷ 4 = 18,077,218.25

If the quotient is a whole number, then 4 and 18,077,218.25 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 72,308,873
-1 72,308,873
Keep dividing by the next highest number until you cannot divide anymore.

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

1713913532,2512,4714,58915,75729,26332,123204,841794,6035,562,22110,329,83972,308,873
-1-7-13-91-353-2,251-2,471-4,589-15,757-29,263-32,123-204,841-794,603-5,562,221-10,329,839-72,308,873

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