Q: What are the factor combinations of the number 355,112,099?

 A:
Positive:   1 x 35511209917 x 2088894731 x 11455229527 x 673837
Negative: -1 x -355112099-17 x -20888947-31 x -11455229-527 x -673837


How do I find the factor combinations of the number 355,112,099?

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 355,112,099, 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.

1 355,112,099
-1 -355,112,099

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 355,112,099.

Example:
1 x 355,112,099 = 355,112,099
and
-1 x -355,112,099 = 355,112,099
Notice both answers equal 355,112,099

With that explanation out of the way, let's continue. Next, we take the number 355,112,099 and divide it by 2:

355,112,099 ÷ 2 = 177,556,049.5

If the quotient is a whole number, then 2 and 177,556,049.5 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:

1 355,112,099
-1 -355,112,099

Now, we try dividing 355,112,099 by 3:

355,112,099 ÷ 3 = 118,370,699.6667

If the quotient is a whole number, then 3 and 118,370,699.6667 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:

1 355,112,099
-1 -355,112,099

Let's try dividing by 4:

355,112,099 ÷ 4 = 88,778,024.75

If the quotient is a whole number, then 4 and 88,778,024.75 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:

1 355,112,099
-1 355,112,099
Keep dividing by the next highest number until you cannot divide anymore.

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

11731527673,83711,455,22920,888,947355,112,099
-1-17-31-527-673,837-11,455,229-20,888,947-355,112,099

More Examples

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