Q: What are the factor combinations of the number 384,074,815?

 A:
Positive:   1 x 3840748155 x 7681496323 x 16698905115 x 33397811423 x 2699052347 x 1636457115 x 5398111735 x 32729
Negative: -1 x -384074815-5 x -76814963-23 x -16698905-115 x -3339781-1423 x -269905-2347 x -163645-7115 x -53981-11735 x -32729


How do I find the factor combinations of the number 384,074,815?

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 384,074,815, 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.

1 384,074,815
-1 -384,074,815

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 384,074,815.

Example:
1 x 384,074,815 = 384,074,815
and
-1 x -384,074,815 = 384,074,815
Notice both answers equal 384,074,815

With that explanation out of the way, let's continue. Next, we take the number 384,074,815 and divide it by 2:

384,074,815 ÷ 2 = 192,037,407.5

If the quotient is a whole number, then 2 and 192,037,407.5 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:

1 384,074,815
-1 -384,074,815

Now, we try dividing 384,074,815 by 3:

384,074,815 ÷ 3 = 128,024,938.3333

If the quotient is a whole number, then 3 and 128,024,938.3333 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:

1 384,074,815
-1 -384,074,815

Let's try dividing by 4:

384,074,815 ÷ 4 = 96,018,703.75

If the quotient is a whole number, then 4 and 96,018,703.75 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:

1 384,074,815
-1 384,074,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151,4232,3477,11511,73532,72953,981163,645269,9053,339,78116,698,90576,814,963384,074,815
-1-5-23-115-1,423-2,347-7,115-11,735-32,729-53,981-163,645-269,905-3,339,781-16,698,905-76,814,963-384,074,815

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