Q: What are the factor combinations of the number 205,550,015?

 A:
Positive:   1 x 2055500155 x 4111000311 x 1868636541 x 501341555 x 3737273205 x 1002683451 x 4557652255 x 91153
Negative: -1 x -205550015-5 x -41110003-11 x -18686365-41 x -5013415-55 x -3737273-205 x -1002683-451 x -455765-2255 x -91153


How do I find the factor combinations of the number 205,550,015?

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 205,550,015, 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.

1 205,550,015
-1 -205,550,015

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 205,550,015.

Example:
1 x 205,550,015 = 205,550,015
and
-1 x -205,550,015 = 205,550,015
Notice both answers equal 205,550,015

With that explanation out of the way, let's continue. Next, we take the number 205,550,015 and divide it by 2:

205,550,015 ÷ 2 = 102,775,007.5

If the quotient is a whole number, then 2 and 102,775,007.5 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:

1 205,550,015
-1 -205,550,015

Now, we try dividing 205,550,015 by 3:

205,550,015 ÷ 3 = 68,516,671.6667

If the quotient is a whole number, then 3 and 68,516,671.6667 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:

1 205,550,015
-1 -205,550,015

Let's try dividing by 4:

205,550,015 ÷ 4 = 51,387,503.75

If the quotient is a whole number, then 4 and 51,387,503.75 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:

1 205,550,015
-1 205,550,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151141552054512,25591,153455,7651,002,6833,737,2735,013,41518,686,36541,110,003205,550,015
-1-5-11-41-55-205-451-2,255-91,153-455,765-1,002,683-3,737,273-5,013,415-18,686,365-41,110,003-205,550,015

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