Q: What are the factor combinations of the number 180,391,415?

 A:
Positive:   1 x 1803914155 x 3607828319 x 949428523 x 784310595 x 1898857115 x 1568621437 x 4127952185 x 82559
Negative: -1 x -180391415-5 x -36078283-19 x -9494285-23 x -7843105-95 x -1898857-115 x -1568621-437 x -412795-2185 x -82559


How do I find the factor combinations of the number 180,391,415?

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 180,391,415, 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.

1 180,391,415
-1 -180,391,415

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 180,391,415.

Example:
1 x 180,391,415 = 180,391,415
and
-1 x -180,391,415 = 180,391,415
Notice both answers equal 180,391,415

With that explanation out of the way, let's continue. Next, we take the number 180,391,415 and divide it by 2:

180,391,415 ÷ 2 = 90,195,707.5

If the quotient is a whole number, then 2 and 90,195,707.5 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:

1 180,391,415
-1 -180,391,415

Now, we try dividing 180,391,415 by 3:

180,391,415 ÷ 3 = 60,130,471.6667

If the quotient is a whole number, then 3 and 60,130,471.6667 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:

1 180,391,415
-1 -180,391,415

Let's try dividing by 4:

180,391,415 ÷ 4 = 45,097,853.75

If the quotient is a whole number, then 4 and 45,097,853.75 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:

1 180,391,415
-1 180,391,415
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951154372,18582,559412,7951,568,6211,898,8577,843,1059,494,28536,078,283180,391,415
-1-5-19-23-95-115-437-2,185-82,559-412,795-1,568,621-1,898,857-7,843,105-9,494,285-36,078,283-180,391,415

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