Q: What are the factor combinations of the number 30,162,349?

 A:
Positive:   1 x 301623497 x 430890729 x 104008131 x 972979203 x 148583217 x 138997899 x 335514793 x 6293
Negative: -1 x -30162349-7 x -4308907-29 x -1040081-31 x -972979-203 x -148583-217 x -138997-899 x -33551-4793 x -6293


How do I find the factor combinations of the number 30,162,349?

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 30,162,349, 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 30,162,349
-1 -30,162,349

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 30,162,349.

Example:
1 x 30,162,349 = 30,162,349
and
-1 x -30,162,349 = 30,162,349
Notice both answers equal 30,162,349

With that explanation out of the way, let's continue. Next, we take the number 30,162,349 and divide it by 2:

30,162,349 ÷ 2 = 15,081,174.5

If the quotient is a whole number, then 2 and 15,081,174.5 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 30,162,349
-1 -30,162,349

Now, we try dividing 30,162,349 by 3:

30,162,349 ÷ 3 = 10,054,116.3333

If the quotient is a whole number, then 3 and 10,054,116.3333 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 30,162,349
-1 -30,162,349

Let's try dividing by 4:

30,162,349 ÷ 4 = 7,540,587.25

If the quotient is a whole number, then 4 and 7,540,587.25 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 30,162,349
-1 30,162,349
Keep dividing by the next highest number until you cannot divide anymore.

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

1729312032178994,7936,29333,551138,997148,583972,9791,040,0814,308,90730,162,349
-1-7-29-31-203-217-899-4,793-6,293-33,551-138,997-148,583-972,979-1,040,081-4,308,907-30,162,349

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