Q: What are the factor combinations of the number 236,816,365?

 A:
Positive:   1 x 2368163655 x 47363273
Negative: -1 x -236816365-5 x -47363273


How do I find the factor combinations of the number 236,816,365?

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 236,816,365, 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.

1 236,816,365
-1 -236,816,365

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 236,816,365.

Example:
1 x 236,816,365 = 236,816,365
and
-1 x -236,816,365 = 236,816,365
Notice both answers equal 236,816,365

With that explanation out of the way, let's continue. Next, we take the number 236,816,365 and divide it by 2:

236,816,365 ÷ 2 = 118,408,182.5

If the quotient is a whole number, then 2 and 118,408,182.5 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:

1 236,816,365
-1 -236,816,365

Now, we try dividing 236,816,365 by 3:

236,816,365 ÷ 3 = 78,938,788.3333

If the quotient is a whole number, then 3 and 78,938,788.3333 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:

1 236,816,365
-1 -236,816,365

Let's try dividing by 4:

236,816,365 ÷ 4 = 59,204,091.25

If the quotient is a whole number, then 4 and 59,204,091.25 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:

1 236,816,365
-1 236,816,365
Keep dividing by the next highest number until you cannot divide anymore.

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

1547,363,273236,816,365
-1-5-47,363,273-236,816,365

More Examples

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