Q: What are the factor combinations of the number 350,160,215?

 A:
Positive:   1 x 3501602155 x 7003204319 x 1842948595 x 3685897941 x 3721153917 x 893954705 x 7442317879 x 19585
Negative: -1 x -350160215-5 x -70032043-19 x -18429485-95 x -3685897-941 x -372115-3917 x -89395-4705 x -74423-17879 x -19585


How do I find the factor combinations of the number 350,160,215?

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 350,160,215, 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.

1 350,160,215
-1 -350,160,215

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 350,160,215.

Example:
1 x 350,160,215 = 350,160,215
and
-1 x -350,160,215 = 350,160,215
Notice both answers equal 350,160,215

With that explanation out of the way, let's continue. Next, we take the number 350,160,215 and divide it by 2:

350,160,215 ÷ 2 = 175,080,107.5

If the quotient is a whole number, then 2 and 175,080,107.5 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:

1 350,160,215
-1 -350,160,215

Now, we try dividing 350,160,215 by 3:

350,160,215 ÷ 3 = 116,720,071.6667

If the quotient is a whole number, then 3 and 116,720,071.6667 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:

1 350,160,215
-1 -350,160,215

Let's try dividing by 4:

350,160,215 ÷ 4 = 87,540,053.75

If the quotient is a whole number, then 4 and 87,540,053.75 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:

1 350,160,215
-1 350,160,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1519959413,9174,70517,87919,58574,42389,395372,1153,685,89718,429,48570,032,043350,160,215
-1-5-19-95-941-3,917-4,705-17,879-19,585-74,423-89,395-372,115-3,685,897-18,429,485-70,032,043-350,160,215

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