Q: What are the factor combinations of the number 238,523,593?

 A:
Positive:   1 x 2385235937 x 3407479911 x 2168396323 x 1037059177 x 3097709161 x 1481513253 x 9427811771 x 134683
Negative: -1 x -238523593-7 x -34074799-11 x -21683963-23 x -10370591-77 x -3097709-161 x -1481513-253 x -942781-1771 x -134683


How do I find the factor combinations of the number 238,523,593?

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 238,523,593, 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.

1 238,523,593
-1 -238,523,593

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 238,523,593.

Example:
1 x 238,523,593 = 238,523,593
and
-1 x -238,523,593 = 238,523,593
Notice both answers equal 238,523,593

With that explanation out of the way, let's continue. Next, we take the number 238,523,593 and divide it by 2:

238,523,593 ÷ 2 = 119,261,796.5

If the quotient is a whole number, then 2 and 119,261,796.5 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:

1 238,523,593
-1 -238,523,593

Now, we try dividing 238,523,593 by 3:

238,523,593 ÷ 3 = 79,507,864.3333

If the quotient is a whole number, then 3 and 79,507,864.3333 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:

1 238,523,593
-1 -238,523,593

Let's try dividing by 4:

238,523,593 ÷ 4 = 59,630,898.25

If the quotient is a whole number, then 4 and 59,630,898.25 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:

1 238,523,593
-1 238,523,593
Keep dividing by the next highest number until you cannot divide anymore.

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

171123771612531,771134,683942,7811,481,5133,097,70910,370,59121,683,96334,074,799238,523,593
-1-7-11-23-77-161-253-1,771-134,683-942,781-1,481,513-3,097,709-10,370,591-21,683,963-34,074,799-238,523,593

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