Q: What are the factor combinations of the number 180,365,255?

 A:
Positive:   1 x 1803652555 x 360730517 x 2576646535 x 5153293193 x 934535965 x 1869071351 x 1335056755 x 26701
Negative: -1 x -180365255-5 x -36073051-7 x -25766465-35 x -5153293-193 x -934535-965 x -186907-1351 x -133505-6755 x -26701


How do I find the factor combinations of the number 180,365,255?

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 180,365,255, 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.

1 180,365,255
-1 -180,365,255

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 180,365,255.

Example:
1 x 180,365,255 = 180,365,255
and
-1 x -180,365,255 = 180,365,255
Notice both answers equal 180,365,255

With that explanation out of the way, let's continue. Next, we take the number 180,365,255 and divide it by 2:

180,365,255 ÷ 2 = 90,182,627.5

If the quotient is a whole number, then 2 and 90,182,627.5 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:

1 180,365,255
-1 -180,365,255

Now, we try dividing 180,365,255 by 3:

180,365,255 ÷ 3 = 60,121,751.6667

If the quotient is a whole number, then 3 and 60,121,751.6667 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:

1 180,365,255
-1 -180,365,255

Let's try dividing by 4:

180,365,255 ÷ 4 = 45,091,313.75

If the quotient is a whole number, then 4 and 45,091,313.75 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:

1 180,365,255
-1 180,365,255
Keep dividing by the next highest number until you cannot divide anymore.

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

157351939651,3516,75526,701133,505186,907934,5355,153,29325,766,46536,073,051180,365,255
-1-5-7-35-193-965-1,351-6,755-26,701-133,505-186,907-934,535-5,153,293-25,766,465-36,073,051-180,365,255

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