Q: What are the factor combinations of the number 104,502,085?

 A:
Positive:   1 x 1045020855 x 2090041731 x 3371035107 x 976655155 x 674207535 x 1953313317 x 315056301 x 16585
Negative: -1 x -104502085-5 x -20900417-31 x -3371035-107 x -976655-155 x -674207-535 x -195331-3317 x -31505-6301 x -16585


How do I find the factor combinations of the number 104,502,085?

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 104,502,085, 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.

1 104,502,085
-1 -104,502,085

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 104,502,085.

Example:
1 x 104,502,085 = 104,502,085
and
-1 x -104,502,085 = 104,502,085
Notice both answers equal 104,502,085

With that explanation out of the way, let's continue. Next, we take the number 104,502,085 and divide it by 2:

104,502,085 ÷ 2 = 52,251,042.5

If the quotient is a whole number, then 2 and 52,251,042.5 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:

1 104,502,085
-1 -104,502,085

Now, we try dividing 104,502,085 by 3:

104,502,085 ÷ 3 = 34,834,028.3333

If the quotient is a whole number, then 3 and 34,834,028.3333 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:

1 104,502,085
-1 -104,502,085

Let's try dividing by 4:

104,502,085 ÷ 4 = 26,125,521.25

If the quotient is a whole number, then 4 and 26,125,521.25 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:

1 104,502,085
-1 104,502,085
Keep dividing by the next highest number until you cannot divide anymore.

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

15311071555353,3176,30116,58531,505195,331674,207976,6553,371,03520,900,417104,502,085
-1-5-31-107-155-535-3,317-6,301-16,585-31,505-195,331-674,207-976,655-3,371,035-20,900,417-104,502,085

More Examples

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