Q: What are the factor combinations of the number 242,231,639?

 A:
Positive:   1 x 24223163913 x 1863320359 x 4105621313 x 773903767 x 3158171009 x 2400714069 x 5953113117 x 18467
Negative: -1 x -242231639-13 x -18633203-59 x -4105621-313 x -773903-767 x -315817-1009 x -240071-4069 x -59531-13117 x -18467


How do I find the factor combinations of the number 242,231,639?

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 242,231,639, 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.

1 242,231,639
-1 -242,231,639

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 242,231,639.

Example:
1 x 242,231,639 = 242,231,639
and
-1 x -242,231,639 = 242,231,639
Notice both answers equal 242,231,639

With that explanation out of the way, let's continue. Next, we take the number 242,231,639 and divide it by 2:

242,231,639 ÷ 2 = 121,115,819.5

If the quotient is a whole number, then 2 and 121,115,819.5 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:

1 242,231,639
-1 -242,231,639

Now, we try dividing 242,231,639 by 3:

242,231,639 ÷ 3 = 80,743,879.6667

If the quotient is a whole number, then 3 and 80,743,879.6667 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:

1 242,231,639
-1 -242,231,639

Let's try dividing by 4:

242,231,639 ÷ 4 = 60,557,909.75

If the quotient is a whole number, then 4 and 60,557,909.75 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:

1 242,231,639
-1 242,231,639
Keep dividing by the next highest number until you cannot divide anymore.

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

113593137671,0094,06913,11718,46759,531240,071315,817773,9034,105,62118,633,203242,231,639
-1-13-59-313-767-1,009-4,069-13,117-18,467-59,531-240,071-315,817-773,903-4,105,621-18,633,203-242,231,639

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