Q: What are the factor combinations of the number 30,011,185?

 A:
Positive:   1 x 300111855 x 6002237
Negative: -1 x -30011185-5 x -6002237


How do I find the factor combinations of the number 30,011,185?

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 30,011,185, 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 30,011,185
-1 -30,011,185

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 30,011,185.

Example:
1 x 30,011,185 = 30,011,185
and
-1 x -30,011,185 = 30,011,185
Notice both answers equal 30,011,185

With that explanation out of the way, let's continue. Next, we take the number 30,011,185 and divide it by 2:

30,011,185 ÷ 2 = 15,005,592.5

If the quotient is a whole number, then 2 and 15,005,592.5 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 30,011,185
-1 -30,011,185

Now, we try dividing 30,011,185 by 3:

30,011,185 ÷ 3 = 10,003,728.3333

If the quotient is a whole number, then 3 and 10,003,728.3333 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 30,011,185
-1 -30,011,185

Let's try dividing by 4:

30,011,185 ÷ 4 = 7,502,796.25

If the quotient is a whole number, then 4 and 7,502,796.25 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 30,011,185
-1 30,011,185
Keep dividing by the next highest number until you cannot divide anymore.

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

156,002,23730,011,185
-1-5-6,002,237-30,011,185

More Examples

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