Q: What are the factor combinations of the number 120,166,255?

 A:
Positive:   1 x 1201662555 x 2403325111 x 1092420555 x 2184841233 x 5157351165 x 1031472563 x 468859377 x 12815
Negative: -1 x -120166255-5 x -24033251-11 x -10924205-55 x -2184841-233 x -515735-1165 x -103147-2563 x -46885-9377 x -12815


How do I find the factor combinations of the number 120,166,255?

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 120,166,255, 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.

1 120,166,255
-1 -120,166,255

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 120,166,255.

Example:
1 x 120,166,255 = 120,166,255
and
-1 x -120,166,255 = 120,166,255
Notice both answers equal 120,166,255

With that explanation out of the way, let's continue. Next, we take the number 120,166,255 and divide it by 2:

120,166,255 ÷ 2 = 60,083,127.5

If the quotient is a whole number, then 2 and 60,083,127.5 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:

1 120,166,255
-1 -120,166,255

Now, we try dividing 120,166,255 by 3:

120,166,255 ÷ 3 = 40,055,418.3333

If the quotient is a whole number, then 3 and 40,055,418.3333 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:

1 120,166,255
-1 -120,166,255

Let's try dividing by 4:

120,166,255 ÷ 4 = 30,041,563.75

If the quotient is a whole number, then 4 and 30,041,563.75 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:

1 120,166,255
-1 120,166,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552331,1652,5639,37712,81546,885103,147515,7352,184,84110,924,20524,033,251120,166,255
-1-5-11-55-233-1,165-2,563-9,377-12,815-46,885-103,147-515,735-2,184,841-10,924,205-24,033,251-120,166,255

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