Q: What are the factor combinations of the number 350,000,161?

 A:
Positive:   1 x 3500001617 x 5000002367 x 5223883469 x 746269661 x 5295011129 x 3100094627 x 756437903 x 44287
Negative: -1 x -350000161-7 x -50000023-67 x -5223883-469 x -746269-661 x -529501-1129 x -310009-4627 x -75643-7903 x -44287


How do I find the factor combinations of the number 350,000,161?

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 350,000,161, 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.

1 350,000,161
-1 -350,000,161

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 350,000,161.

Example:
1 x 350,000,161 = 350,000,161
and
-1 x -350,000,161 = 350,000,161
Notice both answers equal 350,000,161

With that explanation out of the way, let's continue. Next, we take the number 350,000,161 and divide it by 2:

350,000,161 ÷ 2 = 175,000,080.5

If the quotient is a whole number, then 2 and 175,000,080.5 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:

1 350,000,161
-1 -350,000,161

Now, we try dividing 350,000,161 by 3:

350,000,161 ÷ 3 = 116,666,720.3333

If the quotient is a whole number, then 3 and 116,666,720.3333 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:

1 350,000,161
-1 -350,000,161

Let's try dividing by 4:

350,000,161 ÷ 4 = 87,500,040.25

If the quotient is a whole number, then 4 and 87,500,040.25 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:

1 350,000,161
-1 350,000,161
Keep dividing by the next highest number until you cannot divide anymore.

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

17674696611,1294,6277,90344,28775,643310,009529,501746,2695,223,88350,000,023350,000,161
-1-7-67-469-661-1,129-4,627-7,903-44,287-75,643-310,009-529,501-746,269-5,223,883-50,000,023-350,000,161

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