Q: What are the factor combinations of the number 120,961,855?

 A:
Positive:   1 x 1209618555 x 241923717 x 1728026535 x 3456053
Negative: -1 x -120961855-5 x -24192371-7 x -17280265-35 x -3456053


How do I find the factor combinations of the number 120,961,855?

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 120,961,855, 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.

1 120,961,855
-1 -120,961,855

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 120,961,855.

Example:
1 x 120,961,855 = 120,961,855
and
-1 x -120,961,855 = 120,961,855
Notice both answers equal 120,961,855

With that explanation out of the way, let's continue. Next, we take the number 120,961,855 and divide it by 2:

120,961,855 ÷ 2 = 60,480,927.5

If the quotient is a whole number, then 2 and 60,480,927.5 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:

1 120,961,855
-1 -120,961,855

Now, we try dividing 120,961,855 by 3:

120,961,855 ÷ 3 = 40,320,618.3333

If the quotient is a whole number, then 3 and 40,320,618.3333 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:

1 120,961,855
-1 -120,961,855

Let's try dividing by 4:

120,961,855 ÷ 4 = 30,240,463.75

If the quotient is a whole number, then 4 and 30,240,463.75 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:

1 120,961,855
-1 120,961,855
Keep dividing by the next highest number until you cannot divide anymore.

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

157353,456,05317,280,26524,192,371120,961,855
-1-5-7-35-3,456,053-17,280,265-24,192,371-120,961,855

More Examples

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