Q: What are the factor combinations of the number 233,616,373?

 A:
Positive:   1 x 23361637329 x 8055737127 x 1839499137 x 1705229463 x 5045713683 x 634313973 x 5880113427 x 17399
Negative: -1 x -233616373-29 x -8055737-127 x -1839499-137 x -1705229-463 x -504571-3683 x -63431-3973 x -58801-13427 x -17399


How do I find the factor combinations of the number 233,616,373?

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 233,616,373, 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.

1 233,616,373
-1 -233,616,373

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 233,616,373.

Example:
1 x 233,616,373 = 233,616,373
and
-1 x -233,616,373 = 233,616,373
Notice both answers equal 233,616,373

With that explanation out of the way, let's continue. Next, we take the number 233,616,373 and divide it by 2:

233,616,373 ÷ 2 = 116,808,186.5

If the quotient is a whole number, then 2 and 116,808,186.5 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:

1 233,616,373
-1 -233,616,373

Now, we try dividing 233,616,373 by 3:

233,616,373 ÷ 3 = 77,872,124.3333

If the quotient is a whole number, then 3 and 77,872,124.3333 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:

1 233,616,373
-1 -233,616,373

Let's try dividing by 4:

233,616,373 ÷ 4 = 58,404,093.25

If the quotient is a whole number, then 4 and 58,404,093.25 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:

1 233,616,373
-1 233,616,373
Keep dividing by the next highest number until you cannot divide anymore.

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

1291271374633,6833,97313,42717,39958,80163,431504,5711,705,2291,839,4998,055,737233,616,373
-1-29-127-137-463-3,683-3,973-13,427-17,399-58,801-63,431-504,571-1,705,229-1,839,499-8,055,737-233,616,373

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