Q: What are the factor combinations of the number 18,109,301?

 A:
Positive:   1 x 181093017 x 258704317 x 106525331 x 584171119 x 152179217 x 83453527 x 343633689 x 4909
Negative: -1 x -18109301-7 x -2587043-17 x -1065253-31 x -584171-119 x -152179-217 x -83453-527 x -34363-3689 x -4909


How do I find the factor combinations of the number 18,109,301?

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 18,109,301, 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 18,109,301
-1 -18,109,301

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 18,109,301.

Example:
1 x 18,109,301 = 18,109,301
and
-1 x -18,109,301 = 18,109,301
Notice both answers equal 18,109,301

With that explanation out of the way, let's continue. Next, we take the number 18,109,301 and divide it by 2:

18,109,301 ÷ 2 = 9,054,650.5

If the quotient is a whole number, then 2 and 9,054,650.5 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 18,109,301
-1 -18,109,301

Now, we try dividing 18,109,301 by 3:

18,109,301 ÷ 3 = 6,036,433.6667

If the quotient is a whole number, then 3 and 6,036,433.6667 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 18,109,301
-1 -18,109,301

Let's try dividing by 4:

18,109,301 ÷ 4 = 4,527,325.25

If the quotient is a whole number, then 4 and 4,527,325.25 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 18,109,301
-1 18,109,301
Keep dividing by the next highest number until you cannot divide anymore.

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

1717311192175273,6894,90934,36383,453152,179584,1711,065,2532,587,04318,109,301
-1-7-17-31-119-217-527-3,689-4,909-34,363-83,453-152,179-584,171-1,065,253-2,587,043-18,109,301

More Examples

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