Q: What are the factor combinations of the number 120,841,061?

 A:
Positive:   1 x 12084106111 x 1098555161 x 198100173 x 1655357671 x 180091803 x 1504872467 x 489834453 x 27137
Negative: -1 x -120841061-11 x -10985551-61 x -1981001-73 x -1655357-671 x -180091-803 x -150487-2467 x -48983-4453 x -27137


How do I find the factor combinations of the number 120,841,061?

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 120,841,061, 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.

1 120,841,061
-1 -120,841,061

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 120,841,061.

Example:
1 x 120,841,061 = 120,841,061
and
-1 x -120,841,061 = 120,841,061
Notice both answers equal 120,841,061

With that explanation out of the way, let's continue. Next, we take the number 120,841,061 and divide it by 2:

120,841,061 ÷ 2 = 60,420,530.5

If the quotient is a whole number, then 2 and 60,420,530.5 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:

1 120,841,061
-1 -120,841,061

Now, we try dividing 120,841,061 by 3:

120,841,061 ÷ 3 = 40,280,353.6667

If the quotient is a whole number, then 3 and 40,280,353.6667 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:

1 120,841,061
-1 -120,841,061

Let's try dividing by 4:

120,841,061 ÷ 4 = 30,210,265.25

If the quotient is a whole number, then 4 and 30,210,265.25 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:

1 120,841,061
-1 120,841,061
Keep dividing by the next highest number until you cannot divide anymore.

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

11161736718032,4674,45327,13748,983150,487180,0911,655,3571,981,00110,985,551120,841,061
-1-11-61-73-671-803-2,467-4,453-27,137-48,983-150,487-180,091-1,655,357-1,981,001-10,985,551-120,841,061

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