Q: What are the factor combinations of the number 368,002,375?

 A:
Positive:   1 x 3680023755 x 7360047513 x 2830787525 x 1472009565 x 5661575125 x 2944019325 x 11323151625 x 226463
Negative: -1 x -368002375-5 x -73600475-13 x -28307875-25 x -14720095-65 x -5661575-125 x -2944019-325 x -1132315-1625 x -226463


How do I find the factor combinations of the number 368,002,375?

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 368,002,375, 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.

1 368,002,375
-1 -368,002,375

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 368,002,375.

Example:
1 x 368,002,375 = 368,002,375
and
-1 x -368,002,375 = 368,002,375
Notice both answers equal 368,002,375

With that explanation out of the way, let's continue. Next, we take the number 368,002,375 and divide it by 2:

368,002,375 ÷ 2 = 184,001,187.5

If the quotient is a whole number, then 2 and 184,001,187.5 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:

1 368,002,375
-1 -368,002,375

Now, we try dividing 368,002,375 by 3:

368,002,375 ÷ 3 = 122,667,458.3333

If the quotient is a whole number, then 3 and 122,667,458.3333 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:

1 368,002,375
-1 -368,002,375

Let's try dividing by 4:

368,002,375 ÷ 4 = 92,000,593.75

If the quotient is a whole number, then 4 and 92,000,593.75 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:

1 368,002,375
-1 368,002,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651253251,625226,4631,132,3152,944,0195,661,57514,720,09528,307,87573,600,475368,002,375
-1-5-13-25-65-125-325-1,625-226,463-1,132,315-2,944,019-5,661,575-14,720,095-28,307,875-73,600,475-368,002,375

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