Q: What are the factor combinations of the number 225,152,015?

 A:
Positive:   1 x 2251520155 x 4503040311 x 2046836555 x 40936731801 x 1250152273 x 990559005 x 2500311365 x 19811
Negative: -1 x -225152015-5 x -45030403-11 x -20468365-55 x -4093673-1801 x -125015-2273 x -99055-9005 x -25003-11365 x -19811


How do I find the factor combinations of the number 225,152,015?

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 225,152,015, 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.

1 225,152,015
-1 -225,152,015

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 225,152,015.

Example:
1 x 225,152,015 = 225,152,015
and
-1 x -225,152,015 = 225,152,015
Notice both answers equal 225,152,015

With that explanation out of the way, let's continue. Next, we take the number 225,152,015 and divide it by 2:

225,152,015 ÷ 2 = 112,576,007.5

If the quotient is a whole number, then 2 and 112,576,007.5 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:

1 225,152,015
-1 -225,152,015

Now, we try dividing 225,152,015 by 3:

225,152,015 ÷ 3 = 75,050,671.6667

If the quotient is a whole number, then 3 and 75,050,671.6667 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:

1 225,152,015
-1 -225,152,015

Let's try dividing by 4:

225,152,015 ÷ 4 = 56,288,003.75

If the quotient is a whole number, then 4 and 56,288,003.75 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:

1 225,152,015
-1 225,152,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551,8012,2739,00511,36519,81125,00399,055125,0154,093,67320,468,36545,030,403225,152,015
-1-5-11-55-1,801-2,273-9,005-11,365-19,811-25,003-99,055-125,015-4,093,673-20,468,365-45,030,403-225,152,015

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