Q: What are the factor combinations of the number 72,027,347?

 A:
Positive:   1 x 720273477 x 1028962119 x 3790913133 x 541559337 x 2137311607 x 448212359 x 305336403 x 11249
Negative: -1 x -72027347-7 x -10289621-19 x -3790913-133 x -541559-337 x -213731-1607 x -44821-2359 x -30533-6403 x -11249


How do I find the factor combinations of the number 72,027,347?

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 72,027,347, 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 72,027,347
-1 -72,027,347

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 72,027,347.

Example:
1 x 72,027,347 = 72,027,347
and
-1 x -72,027,347 = 72,027,347
Notice both answers equal 72,027,347

With that explanation out of the way, let's continue. Next, we take the number 72,027,347 and divide it by 2:

72,027,347 ÷ 2 = 36,013,673.5

If the quotient is a whole number, then 2 and 36,013,673.5 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 72,027,347
-1 -72,027,347

Now, we try dividing 72,027,347 by 3:

72,027,347 ÷ 3 = 24,009,115.6667

If the quotient is a whole number, then 3 and 24,009,115.6667 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 72,027,347
-1 -72,027,347

Let's try dividing by 4:

72,027,347 ÷ 4 = 18,006,836.75

If the quotient is a whole number, then 4 and 18,006,836.75 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 72,027,347
-1 72,027,347
Keep dividing by the next highest number until you cannot divide anymore.

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

17191333371,6072,3596,40311,24930,53344,821213,731541,5593,790,91310,289,62172,027,347
-1-7-19-133-337-1,607-2,359-6,403-11,249-30,533-44,821-213,731-541,559-3,790,913-10,289,621-72,027,347

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