Q: What are the factor combinations of the number 18,249,625?

 A:
Positive:   1 x 182496255 x 364992525 x 72998583 x 219875125 x 145997415 x 439751759 x 103752075 x 8795
Negative: -1 x -18249625-5 x -3649925-25 x -729985-83 x -219875-125 x -145997-415 x -43975-1759 x -10375-2075 x -8795


How do I find the factor combinations of the number 18,249,625?

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 18,249,625, 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 18,249,625
-1 -18,249,625

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 18,249,625.

Example:
1 x 18,249,625 = 18,249,625
and
-1 x -18,249,625 = 18,249,625
Notice both answers equal 18,249,625

With that explanation out of the way, let's continue. Next, we take the number 18,249,625 and divide it by 2:

18,249,625 ÷ 2 = 9,124,812.5

If the quotient is a whole number, then 2 and 9,124,812.5 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 18,249,625
-1 -18,249,625

Now, we try dividing 18,249,625 by 3:

18,249,625 ÷ 3 = 6,083,208.3333

If the quotient is a whole number, then 3 and 6,083,208.3333 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 18,249,625
-1 -18,249,625

Let's try dividing by 4:

18,249,625 ÷ 4 = 4,562,406.25

If the quotient is a whole number, then 4 and 4,562,406.25 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 18,249,625
-1 18,249,625
Keep dividing by the next highest number until you cannot divide anymore.

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

1525831254151,7592,0758,79510,37543,975145,997219,875729,9853,649,92518,249,625
-1-5-25-83-125-415-1,759-2,075-8,795-10,375-43,975-145,997-219,875-729,985-3,649,925-18,249,625

More Examples

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