Q: What are the factor combinations of the number 383,731,825?

 A:
Positive:   1 x 3837318255 x 7674636525 x 1534927383 x 4623275101 x 3799325415 x 924655505 x 7598651831 x 2095752075 x 1849312525 x 1519738383 x 457759155 x 41915
Negative: -1 x -383731825-5 x -76746365-25 x -15349273-83 x -4623275-101 x -3799325-415 x -924655-505 x -759865-1831 x -209575-2075 x -184931-2525 x -151973-8383 x -45775-9155 x -41915


How do I find the factor combinations of the number 383,731,825?

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 383,731,825, 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.

1 383,731,825
-1 -383,731,825

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 383,731,825.

Example:
1 x 383,731,825 = 383,731,825
and
-1 x -383,731,825 = 383,731,825
Notice both answers equal 383,731,825

With that explanation out of the way, let's continue. Next, we take the number 383,731,825 and divide it by 2:

383,731,825 ÷ 2 = 191,865,912.5

If the quotient is a whole number, then 2 and 191,865,912.5 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:

1 383,731,825
-1 -383,731,825

Now, we try dividing 383,731,825 by 3:

383,731,825 ÷ 3 = 127,910,608.3333

If the quotient is a whole number, then 3 and 127,910,608.3333 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:

1 383,731,825
-1 -383,731,825

Let's try dividing by 4:

383,731,825 ÷ 4 = 95,932,956.25

If the quotient is a whole number, then 4 and 95,932,956.25 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:

1 383,731,825
-1 383,731,825
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831014155051,8312,0752,5258,3839,15541,91545,775151,973184,931209,575759,865924,6553,799,3254,623,27515,349,27376,746,365383,731,825
-1-5-25-83-101-415-505-1,831-2,075-2,525-8,383-9,155-41,915-45,775-151,973-184,931-209,575-759,865-924,655-3,799,325-4,623,275-15,349,273-76,746,365-383,731,825

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