Q: What are the factor combinations of the number 1,198,225?

 A:
Positive:   1 x 11982255 x 2396457 x 17117525 x 4792935 x 3423541 x 29225167 x 7175175 x 6847205 x 5845287 x 4175835 x 14351025 x 1169
Negative: -1 x -1198225-5 x -239645-7 x -171175-25 x -47929-35 x -34235-41 x -29225-167 x -7175-175 x -6847-205 x -5845-287 x -4175-835 x -1435-1025 x -1169


How do I find the factor combinations of the number 1,198,225?

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 1,198,225, 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 1,198,225
-1 -1,198,225

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 1,198,225.

Example:
1 x 1,198,225 = 1,198,225
and
-1 x -1,198,225 = 1,198,225
Notice both answers equal 1,198,225

With that explanation out of the way, let's continue. Next, we take the number 1,198,225 and divide it by 2:

1,198,225 ÷ 2 = 599,112.5

If the quotient is a whole number, then 2 and 599,112.5 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 1,198,225
-1 -1,198,225

Now, we try dividing 1,198,225 by 3:

1,198,225 ÷ 3 = 399,408.3333

If the quotient is a whole number, then 3 and 399,408.3333 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 1,198,225
-1 -1,198,225

Let's try dividing by 4:

1,198,225 ÷ 4 = 299,556.25

If the quotient is a whole number, then 4 and 299,556.25 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 1,198,225
-1 1,198,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535411671752052878351,0251,1691,4354,1755,8456,8477,17529,22534,23547,929171,175239,6451,198,225
-1-5-7-25-35-41-167-175-205-287-835-1,025-1,169-1,435-4,175-5,845-6,847-7,175-29,225-34,235-47,929-171,175-239,645-1,198,225

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