Q: What are the factor combinations of the number 325,525,055?

 A:
Positive:   1 x 3255250555 x 6510501147 x 6926065235 x 1385213
Negative: -1 x -325525055-5 x -65105011-47 x -6926065-235 x -1385213


How do I find the factor combinations of the number 325,525,055?

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 325,525,055, 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.

1 325,525,055
-1 -325,525,055

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 325,525,055.

Example:
1 x 325,525,055 = 325,525,055
and
-1 x -325,525,055 = 325,525,055
Notice both answers equal 325,525,055

With that explanation out of the way, let's continue. Next, we take the number 325,525,055 and divide it by 2:

325,525,055 ÷ 2 = 162,762,527.5

If the quotient is a whole number, then 2 and 162,762,527.5 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:

1 325,525,055
-1 -325,525,055

Now, we try dividing 325,525,055 by 3:

325,525,055 ÷ 3 = 108,508,351.6667

If the quotient is a whole number, then 3 and 108,508,351.6667 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:

1 325,525,055
-1 -325,525,055

Let's try dividing by 4:

325,525,055 ÷ 4 = 81,381,263.75

If the quotient is a whole number, then 4 and 81,381,263.75 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:

1 325,525,055
-1 325,525,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15472351,385,2136,926,06565,105,011325,525,055
-1-5-47-235-1,385,213-6,926,065-65,105,011-325,525,055

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