Q: What are the factor combinations of the number 30,324,245?

 A:
Positive:   1 x 303242455 x 60648497 x 433203535 x 86640743 x 705215215 x 141043301 x 1007451505 x 20149
Negative: -1 x -30324245-5 x -6064849-7 x -4332035-35 x -866407-43 x -705215-215 x -141043-301 x -100745-1505 x -20149


How do I find the factor combinations of the number 30,324,245?

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 30,324,245, 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 30,324,245
-1 -30,324,245

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 30,324,245.

Example:
1 x 30,324,245 = 30,324,245
and
-1 x -30,324,245 = 30,324,245
Notice both answers equal 30,324,245

With that explanation out of the way, let's continue. Next, we take the number 30,324,245 and divide it by 2:

30,324,245 ÷ 2 = 15,162,122.5

If the quotient is a whole number, then 2 and 15,162,122.5 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 30,324,245
-1 -30,324,245

Now, we try dividing 30,324,245 by 3:

30,324,245 ÷ 3 = 10,108,081.6667

If the quotient is a whole number, then 3 and 10,108,081.6667 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 30,324,245
-1 -30,324,245

Let's try dividing by 4:

30,324,245 ÷ 4 = 7,581,061.25

If the quotient is a whole number, then 4 and 7,581,061.25 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 30,324,245
-1 30,324,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,50520,149100,745141,043705,215866,4074,332,0356,064,84930,324,245
-1-5-7-35-43-215-301-1,505-20,149-100,745-141,043-705,215-866,407-4,332,035-6,064,849-30,324,245

More Examples

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