Q: What are the factor combinations of the number 72,837,571?

 A:
Positive:   1 x 7283757117 x 428456337 x 196858343 x 1693897629 x 115799731 x 996411591 x 457812693 x 27047
Negative: -1 x -72837571-17 x -4284563-37 x -1968583-43 x -1693897-629 x -115799-731 x -99641-1591 x -45781-2693 x -27047


How do I find the factor combinations of the number 72,837,571?

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 72,837,571, 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 72,837,571
-1 -72,837,571

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 72,837,571.

Example:
1 x 72,837,571 = 72,837,571
and
-1 x -72,837,571 = 72,837,571
Notice both answers equal 72,837,571

With that explanation out of the way, let's continue. Next, we take the number 72,837,571 and divide it by 2:

72,837,571 ÷ 2 = 36,418,785.5

If the quotient is a whole number, then 2 and 36,418,785.5 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 72,837,571
-1 -72,837,571

Now, we try dividing 72,837,571 by 3:

72,837,571 ÷ 3 = 24,279,190.3333

If the quotient is a whole number, then 3 and 24,279,190.3333 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 72,837,571
-1 -72,837,571

Let's try dividing by 4:

72,837,571 ÷ 4 = 18,209,392.75

If the quotient is a whole number, then 4 and 18,209,392.75 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 72,837,571
-1 72,837,571
Keep dividing by the next highest number until you cannot divide anymore.

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

11737436297311,5912,69327,04745,78199,641115,7991,693,8971,968,5834,284,56372,837,571
-1-17-37-43-629-731-1,591-2,693-27,047-45,781-99,641-115,799-1,693,897-1,968,583-4,284,563-72,837,571

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