Q: What are the factor combinations of the number 72,870,983?

 A:
Positive:   1 x 72870983149 x 489067233 x 3127512099 x 34717
Negative: -1 x -72870983-149 x -489067-233 x -312751-2099 x -34717


How do I find the factor combinations of the number 72,870,983?

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 72,870,983, 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 72,870,983
-1 -72,870,983

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 72,870,983.

Example:
1 x 72,870,983 = 72,870,983
and
-1 x -72,870,983 = 72,870,983
Notice both answers equal 72,870,983

With that explanation out of the way, let's continue. Next, we take the number 72,870,983 and divide it by 2:

72,870,983 ÷ 2 = 36,435,491.5

If the quotient is a whole number, then 2 and 36,435,491.5 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 72,870,983
-1 -72,870,983

Now, we try dividing 72,870,983 by 3:

72,870,983 ÷ 3 = 24,290,327.6667

If the quotient is a whole number, then 3 and 24,290,327.6667 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 72,870,983
-1 -72,870,983

Let's try dividing by 4:

72,870,983 ÷ 4 = 18,217,745.75

If the quotient is a whole number, then 4 and 18,217,745.75 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 72,870,983
-1 72,870,983
Keep dividing by the next highest number until you cannot divide anymore.

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

11492332,09934,717312,751489,06772,870,983
-1-149-233-2,099-34,717-312,751-489,067-72,870,983

More Examples

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