Q: What are the factor combinations of the number 120,455,645?

 A:
Positive:   1 x 1204556455 x 2409112979 x 1524755395 x 304951467 x 257935653 x 1844652335 x 515873265 x 36893
Negative: -1 x -120455645-5 x -24091129-79 x -1524755-395 x -304951-467 x -257935-653 x -184465-2335 x -51587-3265 x -36893


How do I find the factor combinations of the number 120,455,645?

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 120,455,645, 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.

1 120,455,645
-1 -120,455,645

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 120,455,645.

Example:
1 x 120,455,645 = 120,455,645
and
-1 x -120,455,645 = 120,455,645
Notice both answers equal 120,455,645

With that explanation out of the way, let's continue. Next, we take the number 120,455,645 and divide it by 2:

120,455,645 ÷ 2 = 60,227,822.5

If the quotient is a whole number, then 2 and 60,227,822.5 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:

1 120,455,645
-1 -120,455,645

Now, we try dividing 120,455,645 by 3:

120,455,645 ÷ 3 = 40,151,881.6667

If the quotient is a whole number, then 3 and 40,151,881.6667 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:

1 120,455,645
-1 -120,455,645

Let's try dividing by 4:

120,455,645 ÷ 4 = 30,113,911.25

If the quotient is a whole number, then 4 and 30,113,911.25 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:

1 120,455,645
-1 120,455,645
Keep dividing by the next highest number until you cannot divide anymore.

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

15793954676532,3353,26536,89351,587184,465257,935304,9511,524,75524,091,129120,455,645
-1-5-79-395-467-653-2,335-3,265-36,893-51,587-184,465-257,935-304,951-1,524,755-24,091,129-120,455,645

More Examples

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