Q: What are the factor combinations of the number 10,222,225?

 A:
Positive:   1 x 102222255 x 204444513 x 78632525 x 40888965 x 15726571 x 143975325 x 31453355 x 28795443 x 23075923 x 110751775 x 57592215 x 4615
Negative: -1 x -10222225-5 x -2044445-13 x -786325-25 x -408889-65 x -157265-71 x -143975-325 x -31453-355 x -28795-443 x -23075-923 x -11075-1775 x -5759-2215 x -4615


How do I find the factor combinations of the number 10,222,225?

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 10,222,225, 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 10,222,225
-1 -10,222,225

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 10,222,225.

Example:
1 x 10,222,225 = 10,222,225
and
-1 x -10,222,225 = 10,222,225
Notice both answers equal 10,222,225

With that explanation out of the way, let's continue. Next, we take the number 10,222,225 and divide it by 2:

10,222,225 ÷ 2 = 5,111,112.5

If the quotient is a whole number, then 2 and 5,111,112.5 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 10,222,225
-1 -10,222,225

Now, we try dividing 10,222,225 by 3:

10,222,225 ÷ 3 = 3,407,408.3333

If the quotient is a whole number, then 3 and 3,407,408.3333 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 10,222,225
-1 -10,222,225

Let's try dividing by 4:

10,222,225 ÷ 4 = 2,555,556.25

If the quotient is a whole number, then 4 and 2,555,556.25 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 10,222,225
-1 10,222,225
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565713253554439231,7752,2154,6155,75911,07523,07528,79531,453143,975157,265408,889786,3252,044,44510,222,225
-1-5-13-25-65-71-325-355-443-923-1,775-2,215-4,615-5,759-11,075-23,075-28,795-31,453-143,975-157,265-408,889-786,325-2,044,445-10,222,225

More Examples

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