Q: What are the factor combinations of the number 238,521,665?

 A:
Positive:   1 x 2385216655 x 4770433329 x 822488583 x 2873755145 x 1644977415 x 5747512407 x 9909512035 x 19819
Negative: -1 x -238521665-5 x -47704333-29 x -8224885-83 x -2873755-145 x -1644977-415 x -574751-2407 x -99095-12035 x -19819


How do I find the factor combinations of the number 238,521,665?

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 238,521,665, 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.

1 238,521,665
-1 -238,521,665

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 238,521,665.

Example:
1 x 238,521,665 = 238,521,665
and
-1 x -238,521,665 = 238,521,665
Notice both answers equal 238,521,665

With that explanation out of the way, let's continue. Next, we take the number 238,521,665 and divide it by 2:

238,521,665 ÷ 2 = 119,260,832.5

If the quotient is a whole number, then 2 and 119,260,832.5 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:

1 238,521,665
-1 -238,521,665

Now, we try dividing 238,521,665 by 3:

238,521,665 ÷ 3 = 79,507,221.6667

If the quotient is a whole number, then 3 and 79,507,221.6667 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:

1 238,521,665
-1 -238,521,665

Let's try dividing by 4:

238,521,665 ÷ 4 = 59,630,416.25

If the quotient is a whole number, then 4 and 59,630,416.25 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:

1 238,521,665
-1 238,521,665
Keep dividing by the next highest number until you cannot divide anymore.

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

1529831454152,40712,03519,81999,095574,7511,644,9772,873,7558,224,88547,704,333238,521,665
-1-5-29-83-145-415-2,407-12,035-19,819-99,095-574,751-1,644,977-2,873,755-8,224,885-47,704,333-238,521,665

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