Q: What are the factor combinations of the number 225,321,655?

 A:
Positive:   1 x 2253216555 x 4506433113 x 1733243517 x 1325421565 x 346648785 x 2650843221 x 10195551105 x 203911
Negative: -1 x -225321655-5 x -45064331-13 x -17332435-17 x -13254215-65 x -3466487-85 x -2650843-221 x -1019555-1105 x -203911


How do I find the factor combinations of the number 225,321,655?

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 225,321,655, 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.

1 225,321,655
-1 -225,321,655

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 225,321,655.

Example:
1 x 225,321,655 = 225,321,655
and
-1 x -225,321,655 = 225,321,655
Notice both answers equal 225,321,655

With that explanation out of the way, let's continue. Next, we take the number 225,321,655 and divide it by 2:

225,321,655 ÷ 2 = 112,660,827.5

If the quotient is a whole number, then 2 and 112,660,827.5 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:

1 225,321,655
-1 -225,321,655

Now, we try dividing 225,321,655 by 3:

225,321,655 ÷ 3 = 75,107,218.3333

If the quotient is a whole number, then 3 and 75,107,218.3333 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:

1 225,321,655
-1 -225,321,655

Let's try dividing by 4:

225,321,655 ÷ 4 = 56,330,413.75

If the quotient is a whole number, then 4 and 56,330,413.75 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:

1 225,321,655
-1 225,321,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105203,9111,019,5552,650,8433,466,48713,254,21517,332,43545,064,331225,321,655
-1-5-13-17-65-85-221-1,105-203,911-1,019,555-2,650,843-3,466,487-13,254,215-17,332,435-45,064,331-225,321,655

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 225,321,655:


Ask a Question