Q: What are the factor combinations of the number 355,066,355?

 A:
Positive:   1 x 3550663555 x 710132717 x 5072376535 x 1014475341 x 8660155205 x 1732031287 x 12371651435 x 247433
Negative: -1 x -355066355-5 x -71013271-7 x -50723765-35 x -10144753-41 x -8660155-205 x -1732031-287 x -1237165-1435 x -247433


How do I find the factor combinations of the number 355,066,355?

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 355,066,355, 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.

1 355,066,355
-1 -355,066,355

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 355,066,355.

Example:
1 x 355,066,355 = 355,066,355
and
-1 x -355,066,355 = 355,066,355
Notice both answers equal 355,066,355

With that explanation out of the way, let's continue. Next, we take the number 355,066,355 and divide it by 2:

355,066,355 ÷ 2 = 177,533,177.5

If the quotient is a whole number, then 2 and 177,533,177.5 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:

1 355,066,355
-1 -355,066,355

Now, we try dividing 355,066,355 by 3:

355,066,355 ÷ 3 = 118,355,451.6667

If the quotient is a whole number, then 3 and 118,355,451.6667 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:

1 355,066,355
-1 -355,066,355

Let's try dividing by 4:

355,066,355 ÷ 4 = 88,766,588.75

If the quotient is a whole number, then 4 and 88,766,588.75 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:

1 355,066,355
-1 355,066,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,435247,4331,237,1651,732,0318,660,15510,144,75350,723,76571,013,271355,066,355
-1-5-7-35-41-205-287-1,435-247,433-1,237,165-1,732,031-8,660,155-10,144,753-50,723,765-71,013,271-355,066,355

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