Q: What are the factor combinations of the number 12,250,355?

 A:
Positive:   1 x 122503555 x 245007113 x 94233565 x 188467229 x 53495823 x 148851145 x 106992977 x 4115
Negative: -1 x -12250355-5 x -2450071-13 x -942335-65 x -188467-229 x -53495-823 x -14885-1145 x -10699-2977 x -4115


How do I find the factor combinations of the number 12,250,355?

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 12,250,355, 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 12,250,355
-1 -12,250,355

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 12,250,355.

Example:
1 x 12,250,355 = 12,250,355
and
-1 x -12,250,355 = 12,250,355
Notice both answers equal 12,250,355

With that explanation out of the way, let's continue. Next, we take the number 12,250,355 and divide it by 2:

12,250,355 ÷ 2 = 6,125,177.5

If the quotient is a whole number, then 2 and 6,125,177.5 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 12,250,355
-1 -12,250,355

Now, we try dividing 12,250,355 by 3:

12,250,355 ÷ 3 = 4,083,451.6667

If the quotient is a whole number, then 3 and 4,083,451.6667 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 12,250,355
-1 -12,250,355

Let's try dividing by 4:

12,250,355 ÷ 4 = 3,062,588.75

If the quotient is a whole number, then 4 and 3,062,588.75 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 12,250,355
-1 12,250,355
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652298231,1452,9774,11510,69914,88553,495188,467942,3352,450,07112,250,355
-1-5-13-65-229-823-1,145-2,977-4,115-10,699-14,885-53,495-188,467-942,335-2,450,071-12,250,355

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,250,355:


Ask a Question