Q: What are the factor combinations of the number 804,237,115?

 A:
Positive:   1 x 8042371155 x 16084742311 x 7311246555 x 1462249361 x 13184215305 x 2636843671 x 11985653355 x 239713
Negative: -1 x -804237115-5 x -160847423-11 x -73112465-55 x -14622493-61 x -13184215-305 x -2636843-671 x -1198565-3355 x -239713


How do I find the factor combinations of the number 804,237,115?

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 804,237,115, 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.

1 804,237,115
-1 -804,237,115

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 804,237,115.

Example:
1 x 804,237,115 = 804,237,115
and
-1 x -804,237,115 = 804,237,115
Notice both answers equal 804,237,115

With that explanation out of the way, let's continue. Next, we take the number 804,237,115 and divide it by 2:

804,237,115 ÷ 2 = 402,118,557.5

If the quotient is a whole number, then 2 and 402,118,557.5 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:

1 804,237,115
-1 -804,237,115

Now, we try dividing 804,237,115 by 3:

804,237,115 ÷ 3 = 268,079,038.3333

If the quotient is a whole number, then 3 and 268,079,038.3333 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:

1 804,237,115
-1 -804,237,115

Let's try dividing by 4:

804,237,115 ÷ 4 = 201,059,278.75

If the quotient is a whole number, then 4 and 201,059,278.75 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:

1 804,237,115
-1 804,237,115
Keep dividing by the next highest number until you cannot divide anymore.

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

151155613056713,355239,7131,198,5652,636,84313,184,21514,622,49373,112,465160,847,423804,237,115
-1-5-11-55-61-305-671-3,355-239,713-1,198,565-2,636,843-13,184,215-14,622,493-73,112,465-160,847,423-804,237,115

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