Q: What are the factor combinations of the number 8,636,243?

 A:
Positive:   1 x 86362437 x 123374911 x 78511359 x 14637777 x 112159413 x 20911649 x 133071901 x 4543
Negative: -1 x -8636243-7 x -1233749-11 x -785113-59 x -146377-77 x -112159-413 x -20911-649 x -13307-1901 x -4543


How do I find the factor combinations of the number 8,636,243?

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 8,636,243, 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 8,636,243
-1 -8,636,243

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 8,636,243.

Example:
1 x 8,636,243 = 8,636,243
and
-1 x -8,636,243 = 8,636,243
Notice both answers equal 8,636,243

With that explanation out of the way, let's continue. Next, we take the number 8,636,243 and divide it by 2:

8,636,243 ÷ 2 = 4,318,121.5

If the quotient is a whole number, then 2 and 4,318,121.5 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 8,636,243
-1 -8,636,243

Now, we try dividing 8,636,243 by 3:

8,636,243 ÷ 3 = 2,878,747.6667

If the quotient is a whole number, then 3 and 2,878,747.6667 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 8,636,243
-1 -8,636,243

Let's try dividing by 4:

8,636,243 ÷ 4 = 2,159,060.75

If the quotient is a whole number, then 4 and 2,159,060.75 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 8,636,243
-1 8,636,243
Keep dividing by the next highest number until you cannot divide anymore.

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

171159774136491,9014,54313,30720,911112,159146,377785,1131,233,7498,636,243
-1-7-11-59-77-413-649-1,901-4,543-13,307-20,911-112,159-146,377-785,113-1,233,749-8,636,243

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,636,243:


Ask a Question