Q: What are the factor combinations of the number 120,067,717?

 A:
Positive:   1 x 1200677177 x 1715253111 x 1091524777 x 155932183 x 1446599581 x 206657913 x 1315096391 x 18787
Negative: -1 x -120067717-7 x -17152531-11 x -10915247-77 x -1559321-83 x -1446599-581 x -206657-913 x -131509-6391 x -18787


How do I find the factor combinations of the number 120,067,717?

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 120,067,717, 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.

1 120,067,717
-1 -120,067,717

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 120,067,717.

Example:
1 x 120,067,717 = 120,067,717
and
-1 x -120,067,717 = 120,067,717
Notice both answers equal 120,067,717

With that explanation out of the way, let's continue. Next, we take the number 120,067,717 and divide it by 2:

120,067,717 ÷ 2 = 60,033,858.5

If the quotient is a whole number, then 2 and 60,033,858.5 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:

1 120,067,717
-1 -120,067,717

Now, we try dividing 120,067,717 by 3:

120,067,717 ÷ 3 = 40,022,572.3333

If the quotient is a whole number, then 3 and 40,022,572.3333 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:

1 120,067,717
-1 -120,067,717

Let's try dividing by 4:

120,067,717 ÷ 4 = 30,016,929.25

If the quotient is a whole number, then 4 and 30,016,929.25 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:

1 120,067,717
-1 120,067,717
Keep dividing by the next highest number until you cannot divide anymore.

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

171177835819136,39118,787131,509206,6571,446,5991,559,32110,915,24717,152,531120,067,717
-1-7-11-77-83-581-913-6,391-18,787-131,509-206,657-1,446,599-1,559,321-10,915,247-17,152,531-120,067,717

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