Q: What are the factor combinations of the number 42,627,065?

 A:
Positive:   1 x 426270655 x 852541313 x 327900565 x 655801103 x 413855515 x 827711339 x 318356367 x 6695
Negative: -1 x -42627065-5 x -8525413-13 x -3279005-65 x -655801-103 x -413855-515 x -82771-1339 x -31835-6367 x -6695


How do I find the factor combinations of the number 42,627,065?

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 42,627,065, 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 42,627,065
-1 -42,627,065

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 42,627,065.

Example:
1 x 42,627,065 = 42,627,065
and
-1 x -42,627,065 = 42,627,065
Notice both answers equal 42,627,065

With that explanation out of the way, let's continue. Next, we take the number 42,627,065 and divide it by 2:

42,627,065 ÷ 2 = 21,313,532.5

If the quotient is a whole number, then 2 and 21,313,532.5 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 42,627,065
-1 -42,627,065

Now, we try dividing 42,627,065 by 3:

42,627,065 ÷ 3 = 14,209,021.6667

If the quotient is a whole number, then 3 and 14,209,021.6667 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 42,627,065
-1 -42,627,065

Let's try dividing by 4:

42,627,065 ÷ 4 = 10,656,766.25

If the quotient is a whole number, then 4 and 10,656,766.25 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 42,627,065
-1 42,627,065
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651035151,3396,3676,69531,83582,771413,855655,8013,279,0058,525,41342,627,065
-1-5-13-65-103-515-1,339-6,367-6,695-31,835-82,771-413,855-655,801-3,279,005-8,525,413-42,627,065

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 42,627,065:


Ask a Question