Q: What are the factor combinations of the number 365,005,055?

 A:
Positive:   1 x 3650050555 x 7300101123 x 1586978547 x 7766065115 x 3173957235 x 15532131081 x 3376555405 x 67531
Negative: -1 x -365005055-5 x -73001011-23 x -15869785-47 x -7766065-115 x -3173957-235 x -1553213-1081 x -337655-5405 x -67531


How do I find the factor combinations of the number 365,005,055?

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 365,005,055, 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.

1 365,005,055
-1 -365,005,055

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 365,005,055.

Example:
1 x 365,005,055 = 365,005,055
and
-1 x -365,005,055 = 365,005,055
Notice both answers equal 365,005,055

With that explanation out of the way, let's continue. Next, we take the number 365,005,055 and divide it by 2:

365,005,055 ÷ 2 = 182,502,527.5

If the quotient is a whole number, then 2 and 182,502,527.5 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:

1 365,005,055
-1 -365,005,055

Now, we try dividing 365,005,055 by 3:

365,005,055 ÷ 3 = 121,668,351.6667

If the quotient is a whole number, then 3 and 121,668,351.6667 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:

1 365,005,055
-1 -365,005,055

Let's try dividing by 4:

365,005,055 ÷ 4 = 91,251,263.75

If the quotient is a whole number, then 4 and 91,251,263.75 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:

1 365,005,055
-1 365,005,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0815,40567,531337,6551,553,2133,173,9577,766,06515,869,78573,001,011365,005,055
-1-5-23-47-115-235-1,081-5,405-67,531-337,655-1,553,213-3,173,957-7,766,065-15,869,785-73,001,011-365,005,055

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