Q: What are the factor combinations of the number 367,760,405?

 A:
Positive:   1 x 3677604055 x 7355208117 x 2163296579 x 465519585 x 4326593395 x 9310391343 x 2738356715 x 54767
Negative: -1 x -367760405-5 x -73552081-17 x -21632965-79 x -4655195-85 x -4326593-395 x -931039-1343 x -273835-6715 x -54767


How do I find the factor combinations of the number 367,760,405?

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 367,760,405, 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.

1 367,760,405
-1 -367,760,405

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 367,760,405.

Example:
1 x 367,760,405 = 367,760,405
and
-1 x -367,760,405 = 367,760,405
Notice both answers equal 367,760,405

With that explanation out of the way, let's continue. Next, we take the number 367,760,405 and divide it by 2:

367,760,405 ÷ 2 = 183,880,202.5

If the quotient is a whole number, then 2 and 183,880,202.5 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:

1 367,760,405
-1 -367,760,405

Now, we try dividing 367,760,405 by 3:

367,760,405 ÷ 3 = 122,586,801.6667

If the quotient is a whole number, then 3 and 122,586,801.6667 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:

1 367,760,405
-1 -367,760,405

Let's try dividing by 4:

367,760,405 ÷ 4 = 91,940,101.25

If the quotient is a whole number, then 4 and 91,940,101.25 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:

1 367,760,405
-1 367,760,405
Keep dividing by the next highest number until you cannot divide anymore.

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

151779853951,3436,71554,767273,835931,0394,326,5934,655,19521,632,96573,552,081367,760,405
-1-5-17-79-85-395-1,343-6,715-54,767-273,835-931,039-4,326,593-4,655,195-21,632,965-73,552,081-367,760,405

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