Q: What are the factor combinations of the number 355,125,661?

 A:
Positive:   1 x 35512566111 x 3228415159 x 601907967 x 5300383649 x 547189737 x 4818533953 x 898378167 x 43483
Negative: -1 x -355125661-11 x -32284151-59 x -6019079-67 x -5300383-649 x -547189-737 x -481853-3953 x -89837-8167 x -43483


How do I find the factor combinations of the number 355,125,661?

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 355,125,661, 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.

1 355,125,661
-1 -355,125,661

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 355,125,661.

Example:
1 x 355,125,661 = 355,125,661
and
-1 x -355,125,661 = 355,125,661
Notice both answers equal 355,125,661

With that explanation out of the way, let's continue. Next, we take the number 355,125,661 and divide it by 2:

355,125,661 ÷ 2 = 177,562,830.5

If the quotient is a whole number, then 2 and 177,562,830.5 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:

1 355,125,661
-1 -355,125,661

Now, we try dividing 355,125,661 by 3:

355,125,661 ÷ 3 = 118,375,220.3333

If the quotient is a whole number, then 3 and 118,375,220.3333 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:

1 355,125,661
-1 -355,125,661

Let's try dividing by 4:

355,125,661 ÷ 4 = 88,781,415.25

If the quotient is a whole number, then 4 and 88,781,415.25 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:

1 355,125,661
-1 355,125,661
Keep dividing by the next highest number until you cannot divide anymore.

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

11159676497373,9538,16743,48389,837481,853547,1895,300,3836,019,07932,284,151355,125,661
-1-11-59-67-649-737-3,953-8,167-43,483-89,837-481,853-547,189-5,300,383-6,019,079-32,284,151-355,125,661

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