Q: What are the factor combinations of the number 222,524,015?

 A:
Positive:   1 x 2225240155 x 445048037 x 3178914535 x 635782941 x 5427415205 x 1085483287 x 7753451435 x 155069
Negative: -1 x -222524015-5 x -44504803-7 x -31789145-35 x -6357829-41 x -5427415-205 x -1085483-287 x -775345-1435 x -155069


How do I find the factor combinations of the number 222,524,015?

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 222,524,015, 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.

1 222,524,015
-1 -222,524,015

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 222,524,015.

Example:
1 x 222,524,015 = 222,524,015
and
-1 x -222,524,015 = 222,524,015
Notice both answers equal 222,524,015

With that explanation out of the way, let's continue. Next, we take the number 222,524,015 and divide it by 2:

222,524,015 ÷ 2 = 111,262,007.5

If the quotient is a whole number, then 2 and 111,262,007.5 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:

1 222,524,015
-1 -222,524,015

Now, we try dividing 222,524,015 by 3:

222,524,015 ÷ 3 = 74,174,671.6667

If the quotient is a whole number, then 3 and 74,174,671.6667 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:

1 222,524,015
-1 -222,524,015

Let's try dividing by 4:

222,524,015 ÷ 4 = 55,631,003.75

If the quotient is a whole number, then 4 and 55,631,003.75 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:

1 222,524,015
-1 222,524,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,435155,069775,3451,085,4835,427,4156,357,82931,789,14544,504,803222,524,015
-1-5-7-35-41-205-287-1,435-155,069-775,345-1,085,483-5,427,415-6,357,829-31,789,145-44,504,803-222,524,015

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