Q: What are the factor combinations of the number 232,102,241?

 A:
Positive:   1 x 2321022417 x 3315746317 x 13653073119 x 1950439967 x 2400232017 x 1150736769 x 3428914119 x 16439
Negative: -1 x -232102241-7 x -33157463-17 x -13653073-119 x -1950439-967 x -240023-2017 x -115073-6769 x -34289-14119 x -16439


How do I find the factor combinations of the number 232,102,241?

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 232,102,241, 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.

1 232,102,241
-1 -232,102,241

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 232,102,241.

Example:
1 x 232,102,241 = 232,102,241
and
-1 x -232,102,241 = 232,102,241
Notice both answers equal 232,102,241

With that explanation out of the way, let's continue. Next, we take the number 232,102,241 and divide it by 2:

232,102,241 ÷ 2 = 116,051,120.5

If the quotient is a whole number, then 2 and 116,051,120.5 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:

1 232,102,241
-1 -232,102,241

Now, we try dividing 232,102,241 by 3:

232,102,241 ÷ 3 = 77,367,413.6667

If the quotient is a whole number, then 3 and 77,367,413.6667 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:

1 232,102,241
-1 -232,102,241

Let's try dividing by 4:

232,102,241 ÷ 4 = 58,025,560.25

If the quotient is a whole number, then 4 and 58,025,560.25 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:

1 232,102,241
-1 232,102,241
Keep dividing by the next highest number until you cannot divide anymore.

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

17171199672,0176,76914,11916,43934,289115,073240,0231,950,43913,653,07333,157,463232,102,241
-1-7-17-119-967-2,017-6,769-14,119-16,439-34,289-115,073-240,023-1,950,439-13,653,073-33,157,463-232,102,241

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