Q: What are the factor combinations of the number 8,438,755?

 A:
Positive:   1 x 84387555 x 168775113 x 64913519 x 44414565 x 12982795 x 88829247 x 341651235 x 6833
Negative: -1 x -8438755-5 x -1687751-13 x -649135-19 x -444145-65 x -129827-95 x -88829-247 x -34165-1235 x -6833


How do I find the factor combinations of the number 8,438,755?

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 8,438,755, 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 8,438,755
-1 -8,438,755

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 8,438,755.

Example:
1 x 8,438,755 = 8,438,755
and
-1 x -8,438,755 = 8,438,755
Notice both answers equal 8,438,755

With that explanation out of the way, let's continue. Next, we take the number 8,438,755 and divide it by 2:

8,438,755 ÷ 2 = 4,219,377.5

If the quotient is a whole number, then 2 and 4,219,377.5 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 8,438,755
-1 -8,438,755

Now, we try dividing 8,438,755 by 3:

8,438,755 ÷ 3 = 2,812,918.3333

If the quotient is a whole number, then 3 and 2,812,918.3333 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 8,438,755
-1 -8,438,755

Let's try dividing by 4:

8,438,755 ÷ 4 = 2,109,688.75

If the quotient is a whole number, then 4 and 2,109,688.75 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 8,438,755
-1 8,438,755
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,2356,83334,16588,829129,827444,145649,1351,687,7518,438,755
-1-5-13-19-65-95-247-1,235-6,833-34,165-88,829-129,827-444,145-649,135-1,687,751-8,438,755

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 8,438,755:


Ask a Question