Q: What are the factor combinations of the number 231,003,241?

 A:
Positive:   1 x 2310032417 x 3300046329 x 7965629181 x 1276261203 x 11379471267 x 1823235249 x 440096287 x 36743
Negative: -1 x -231003241-7 x -33000463-29 x -7965629-181 x -1276261-203 x -1137947-1267 x -182323-5249 x -44009-6287 x -36743


How do I find the factor combinations of the number 231,003,241?

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 231,003,241, 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.

1 231,003,241
-1 -231,003,241

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 231,003,241.

Example:
1 x 231,003,241 = 231,003,241
and
-1 x -231,003,241 = 231,003,241
Notice both answers equal 231,003,241

With that explanation out of the way, let's continue. Next, we take the number 231,003,241 and divide it by 2:

231,003,241 ÷ 2 = 115,501,620.5

If the quotient is a whole number, then 2 and 115,501,620.5 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:

1 231,003,241
-1 -231,003,241

Now, we try dividing 231,003,241 by 3:

231,003,241 ÷ 3 = 77,001,080.3333

If the quotient is a whole number, then 3 and 77,001,080.3333 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:

1 231,003,241
-1 -231,003,241

Let's try dividing by 4:

231,003,241 ÷ 4 = 57,750,810.25

If the quotient is a whole number, then 4 and 57,750,810.25 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:

1 231,003,241
-1 231,003,241
Keep dividing by the next highest number until you cannot divide anymore.

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

17291812031,2675,2496,28736,74344,009182,3231,137,9471,276,2617,965,62933,000,463231,003,241
-1-7-29-181-203-1,267-5,249-6,287-36,743-44,009-182,323-1,137,947-1,276,261-7,965,629-33,000,463-231,003,241

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