Q: What are the factor combinations of the number 231,004,333?

 A:
Positive:   1 x 2310043337 x 33000619107 x 2158919179 x 1290527749 x 3084171253 x 1843611723 x 13407112061 x 19153
Negative: -1 x -231004333-7 x -33000619-107 x -2158919-179 x -1290527-749 x -308417-1253 x -184361-1723 x -134071-12061 x -19153


How do I find the factor combinations of the number 231,004,333?

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 231,004,333, 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.

1 231,004,333
-1 -231,004,333

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 231,004,333.

Example:
1 x 231,004,333 = 231,004,333
and
-1 x -231,004,333 = 231,004,333
Notice both answers equal 231,004,333

With that explanation out of the way, let's continue. Next, we take the number 231,004,333 and divide it by 2:

231,004,333 ÷ 2 = 115,502,166.5

If the quotient is a whole number, then 2 and 115,502,166.5 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:

1 231,004,333
-1 -231,004,333

Now, we try dividing 231,004,333 by 3:

231,004,333 ÷ 3 = 77,001,444.3333

If the quotient is a whole number, then 3 and 77,001,444.3333 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:

1 231,004,333
-1 -231,004,333

Let's try dividing by 4:

231,004,333 ÷ 4 = 57,751,083.25

If the quotient is a whole number, then 4 and 57,751,083.25 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:

1 231,004,333
-1 231,004,333
Keep dividing by the next highest number until you cannot divide anymore.

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

171071797491,2531,72312,06119,153134,071184,361308,4171,290,5272,158,91933,000,619231,004,333
-1-7-107-179-749-1,253-1,723-12,061-19,153-134,071-184,361-308,417-1,290,527-2,158,919-33,000,619-231,004,333

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