Q: What are the factor combinations of the number 12,003,625?

 A:
Positive:   1 x 120036255 x 240072525 x 480145109 x 110125125 x 96029545 x 22025881 x 136252725 x 4405
Negative: -1 x -12003625-5 x -2400725-25 x -480145-109 x -110125-125 x -96029-545 x -22025-881 x -13625-2725 x -4405


How do I find the factor combinations of the number 12,003,625?

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 12,003,625, 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 12,003,625
-1 -12,003,625

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 12,003,625.

Example:
1 x 12,003,625 = 12,003,625
and
-1 x -12,003,625 = 12,003,625
Notice both answers equal 12,003,625

With that explanation out of the way, let's continue. Next, we take the number 12,003,625 and divide it by 2:

12,003,625 ÷ 2 = 6,001,812.5

If the quotient is a whole number, then 2 and 6,001,812.5 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 12,003,625
-1 -12,003,625

Now, we try dividing 12,003,625 by 3:

12,003,625 ÷ 3 = 4,001,208.3333

If the quotient is a whole number, then 3 and 4,001,208.3333 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 12,003,625
-1 -12,003,625

Let's try dividing by 4:

12,003,625 ÷ 4 = 3,000,906.25

If the quotient is a whole number, then 4 and 3,000,906.25 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 12,003,625
-1 12,003,625
Keep dividing by the next highest number until you cannot divide anymore.

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

15251091255458812,7254,40513,62522,02596,029110,125480,1452,400,72512,003,625
-1-5-25-109-125-545-881-2,725-4,405-13,625-22,025-96,029-110,125-480,145-2,400,725-12,003,625

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,003,625:


Ask a Question