Q: What are the factor combinations of the number 30,030,655?

 A:
Positive:   1 x 300306555 x 600613141 x 732455205 x 146491263 x 114185557 x 539151315 x 228372785 x 10783
Negative: -1 x -30030655-5 x -6006131-41 x -732455-205 x -146491-263 x -114185-557 x -53915-1315 x -22837-2785 x -10783


How do I find the factor combinations of the number 30,030,655?

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 30,030,655, 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 30,030,655
-1 -30,030,655

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 30,030,655.

Example:
1 x 30,030,655 = 30,030,655
and
-1 x -30,030,655 = 30,030,655
Notice both answers equal 30,030,655

With that explanation out of the way, let's continue. Next, we take the number 30,030,655 and divide it by 2:

30,030,655 ÷ 2 = 15,015,327.5

If the quotient is a whole number, then 2 and 15,015,327.5 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 30,030,655
-1 -30,030,655

Now, we try dividing 30,030,655 by 3:

30,030,655 ÷ 3 = 10,010,218.3333

If the quotient is a whole number, then 3 and 10,010,218.3333 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 30,030,655
-1 -30,030,655

Let's try dividing by 4:

30,030,655 ÷ 4 = 7,507,663.75

If the quotient is a whole number, then 4 and 7,507,663.75 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 30,030,655
-1 30,030,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15412052635571,3152,78510,78322,83753,915114,185146,491732,4556,006,13130,030,655
-1-5-41-205-263-557-1,315-2,785-10,783-22,837-53,915-114,185-146,491-732,455-6,006,131-30,030,655

More Examples

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