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

 A:
Positive:   1 x 10410403913 x 800800317 x 6123767221 x 471059619 x 168181761 x 1367998047 x 129379893 x 10523
Negative: -1 x -104104039-13 x -8008003-17 x -6123767-221 x -471059-619 x -168181-761 x -136799-8047 x -12937-9893 x -10523


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

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 104,104,039, 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.

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

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 104,104,039.

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

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

104,104,039 ÷ 2 = 52,052,019.5

If the quotient is a whole number, then 2 and 52,052,019.5 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:

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

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

104,104,039 ÷ 3 = 34,701,346.3333

If the quotient is a whole number, then 3 and 34,701,346.3333 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:

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

Let's try dividing by 4:

104,104,039 ÷ 4 = 26,026,009.75

If the quotient is a whole number, then 4 and 26,026,009.75 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:

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

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

113172216197618,0479,89310,52312,937136,799168,181471,0596,123,7678,008,003104,104,039
-1-13-17-221-619-761-8,047-9,893-10,523-12,937-136,799-168,181-471,059-6,123,767-8,008,003-104,104,039

More Examples

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