Q: What are the factor combinations of the number 104,039,905?

 A:
Positive:   1 x 1040399055 x 2080798147 x 2213615235 x 442723293 x 3550851465 x 710171511 x 688557555 x 13771
Negative: -1 x -104039905-5 x -20807981-47 x -2213615-235 x -442723-293 x -355085-1465 x -71017-1511 x -68855-7555 x -13771


How do I find the factor combinations of the number 104,039,905?

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 104,039,905, 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.

1 104,039,905
-1 -104,039,905

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 104,039,905.

Example:
1 x 104,039,905 = 104,039,905
and
-1 x -104,039,905 = 104,039,905
Notice both answers equal 104,039,905

With that explanation out of the way, let's continue. Next, we take the number 104,039,905 and divide it by 2:

104,039,905 ÷ 2 = 52,019,952.5

If the quotient is a whole number, then 2 and 52,019,952.5 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:

1 104,039,905
-1 -104,039,905

Now, we try dividing 104,039,905 by 3:

104,039,905 ÷ 3 = 34,679,968.3333

If the quotient is a whole number, then 3 and 34,679,968.3333 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:

1 104,039,905
-1 -104,039,905

Let's try dividing by 4:

104,039,905 ÷ 4 = 26,009,976.25

If the quotient is a whole number, then 4 and 26,009,976.25 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:

1 104,039,905
-1 104,039,905
Keep dividing by the next highest number until you cannot divide anymore.

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

15472352931,4651,5117,55513,77168,85571,017355,085442,7232,213,61520,807,981104,039,905
-1-5-47-235-293-1,465-1,511-7,555-13,771-68,855-71,017-355,085-442,723-2,213,615-20,807,981-104,039,905

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 104,039,905:


Ask a Question