Q: What are the factor combinations of the number 355,014,055?

 A:
Positive:   1 x 3550140555 x 7100281111 x 3227400555 x 6454801
Negative: -1 x -355014055-5 x -71002811-11 x -32274005-55 x -6454801


How do I find the factor combinations of the number 355,014,055?

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 355,014,055, 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.

1 355,014,055
-1 -355,014,055

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 355,014,055.

Example:
1 x 355,014,055 = 355,014,055
and
-1 x -355,014,055 = 355,014,055
Notice both answers equal 355,014,055

With that explanation out of the way, let's continue. Next, we take the number 355,014,055 and divide it by 2:

355,014,055 ÷ 2 = 177,507,027.5

If the quotient is a whole number, then 2 and 177,507,027.5 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:

1 355,014,055
-1 -355,014,055

Now, we try dividing 355,014,055 by 3:

355,014,055 ÷ 3 = 118,338,018.3333

If the quotient is a whole number, then 3 and 118,338,018.3333 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:

1 355,014,055
-1 -355,014,055

Let's try dividing by 4:

355,014,055 ÷ 4 = 88,753,513.75

If the quotient is a whole number, then 4 and 88,753,513.75 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:

1 355,014,055
-1 355,014,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1511556,454,80132,274,00571,002,811355,014,055
-1-5-11-55-6,454,801-32,274,005-71,002,811-355,014,055

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 355,014,055:


Ask a Question