Q: What are the factor combinations of the number 7,320,325?

 A:
Positive:   1 x 73203255 x 146406523 x 31827525 x 29281329 x 252425115 x 63655145 x 50485439 x 16675575 x 12731667 x 10975725 x 100972195 x 3335
Negative: -1 x -7320325-5 x -1464065-23 x -318275-25 x -292813-29 x -252425-115 x -63655-145 x -50485-439 x -16675-575 x -12731-667 x -10975-725 x -10097-2195 x -3335


How do I find the factor combinations of the number 7,320,325?

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 7,320,325, 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 7,320,325
-1 -7,320,325

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 7,320,325.

Example:
1 x 7,320,325 = 7,320,325
and
-1 x -7,320,325 = 7,320,325
Notice both answers equal 7,320,325

With that explanation out of the way, let's continue. Next, we take the number 7,320,325 and divide it by 2:

7,320,325 ÷ 2 = 3,660,162.5

If the quotient is a whole number, then 2 and 3,660,162.5 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 7,320,325
-1 -7,320,325

Now, we try dividing 7,320,325 by 3:

7,320,325 ÷ 3 = 2,440,108.3333

If the quotient is a whole number, then 3 and 2,440,108.3333 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 7,320,325
-1 -7,320,325

Let's try dividing by 4:

7,320,325 ÷ 4 = 1,830,081.25

If the quotient is a whole number, then 4 and 1,830,081.25 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 7,320,325
-1 7,320,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152325291151454395756677252,1953,33510,09710,97512,73116,67550,48563,655252,425292,813318,2751,464,0657,320,325
-1-5-23-25-29-115-145-439-575-667-725-2,195-3,335-10,097-10,975-12,731-16,675-50,485-63,655-252,425-292,813-318,275-1,464,065-7,320,325

More Examples

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