Q: What are the factor combinations of the number 236,818,385?

 A:
Positive:   1 x 2368183855 x 473636773583 x 6609513219 x 17915
Negative: -1 x -236818385-5 x -47363677-3583 x -66095-13219 x -17915


How do I find the factor combinations of the number 236,818,385?

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 236,818,385, 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.

1 236,818,385
-1 -236,818,385

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 236,818,385.

Example:
1 x 236,818,385 = 236,818,385
and
-1 x -236,818,385 = 236,818,385
Notice both answers equal 236,818,385

With that explanation out of the way, let's continue. Next, we take the number 236,818,385 and divide it by 2:

236,818,385 ÷ 2 = 118,409,192.5

If the quotient is a whole number, then 2 and 118,409,192.5 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:

1 236,818,385
-1 -236,818,385

Now, we try dividing 236,818,385 by 3:

236,818,385 ÷ 3 = 78,939,461.6667

If the quotient is a whole number, then 3 and 78,939,461.6667 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:

1 236,818,385
-1 -236,818,385

Let's try dividing by 4:

236,818,385 ÷ 4 = 59,204,596.25

If the quotient is a whole number, then 4 and 59,204,596.25 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:

1 236,818,385
-1 236,818,385
Keep dividing by the next highest number until you cannot divide anymore.

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

153,58313,21917,91566,09547,363,677236,818,385
-1-5-3,583-13,219-17,915-66,095-47,363,677-236,818,385

More Examples

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