Q: What are the factor combinations of the number 355,004,123?

 A:
Positive:   1 x 35500412353 x 669819167 x 5298569257 x 1381339389 x 9126073551 x 9997313621 x 2606317219 x 20617
Negative: -1 x -355004123-53 x -6698191-67 x -5298569-257 x -1381339-389 x -912607-3551 x -99973-13621 x -26063-17219 x -20617


How do I find the factor combinations of the number 355,004,123?

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 355,004,123, 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.

1 355,004,123
-1 -355,004,123

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 355,004,123.

Example:
1 x 355,004,123 = 355,004,123
and
-1 x -355,004,123 = 355,004,123
Notice both answers equal 355,004,123

With that explanation out of the way, let's continue. Next, we take the number 355,004,123 and divide it by 2:

355,004,123 ÷ 2 = 177,502,061.5

If the quotient is a whole number, then 2 and 177,502,061.5 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:

1 355,004,123
-1 -355,004,123

Now, we try dividing 355,004,123 by 3:

355,004,123 ÷ 3 = 118,334,707.6667

If the quotient is a whole number, then 3 and 118,334,707.6667 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:

1 355,004,123
-1 -355,004,123

Let's try dividing by 4:

355,004,123 ÷ 4 = 88,751,030.75

If the quotient is a whole number, then 4 and 88,751,030.75 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:

1 355,004,123
-1 355,004,123
Keep dividing by the next highest number until you cannot divide anymore.

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

153672573893,55113,62117,21920,61726,06399,973912,6071,381,3395,298,5696,698,191355,004,123
-1-53-67-257-389-3,551-13,621-17,219-20,617-26,063-99,973-912,607-1,381,339-5,298,569-6,698,191-355,004,123

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