Q: What are the factor combinations of the number 48,581,681?

 A:
Positive:   1 x 4858168123 x 211224731 x 156715161 x 796421713 x 681371117 x 434931403 x 346271891 x 25691
Negative: -1 x -48581681-23 x -2112247-31 x -1567151-61 x -796421-713 x -68137-1117 x -43493-1403 x -34627-1891 x -25691


How do I find the factor combinations of the number 48,581,681?

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 48,581,681, 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 48,581,681
-1 -48,581,681

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 48,581,681.

Example:
1 x 48,581,681 = 48,581,681
and
-1 x -48,581,681 = 48,581,681
Notice both answers equal 48,581,681

With that explanation out of the way, let's continue. Next, we take the number 48,581,681 and divide it by 2:

48,581,681 ÷ 2 = 24,290,840.5

If the quotient is a whole number, then 2 and 24,290,840.5 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 48,581,681
-1 -48,581,681

Now, we try dividing 48,581,681 by 3:

48,581,681 ÷ 3 = 16,193,893.6667

If the quotient is a whole number, then 3 and 16,193,893.6667 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 48,581,681
-1 -48,581,681

Let's try dividing by 4:

48,581,681 ÷ 4 = 12,145,420.25

If the quotient is a whole number, then 4 and 12,145,420.25 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 48,581,681
-1 48,581,681
Keep dividing by the next highest number until you cannot divide anymore.

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

12331617131,1171,4031,89125,69134,62743,49368,137796,4211,567,1512,112,24748,581,681
-1-23-31-61-713-1,117-1,403-1,891-25,691-34,627-43,493-68,137-796,421-1,567,151-2,112,247-48,581,681

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 48,581,681:


Ask a Question