Q: What are the factor combinations of the number 18,237,005?

 A:
Positive:   1 x 182370055 x 364740117 x 107276541 x 44480585 x 214553205 x 88961697 x 261653485 x 5233
Negative: -1 x -18237005-5 x -3647401-17 x -1072765-41 x -444805-85 x -214553-205 x -88961-697 x -26165-3485 x -5233


How do I find the factor combinations of the number 18,237,005?

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 18,237,005, 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 18,237,005
-1 -18,237,005

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 18,237,005.

Example:
1 x 18,237,005 = 18,237,005
and
-1 x -18,237,005 = 18,237,005
Notice both answers equal 18,237,005

With that explanation out of the way, let's continue. Next, we take the number 18,237,005 and divide it by 2:

18,237,005 ÷ 2 = 9,118,502.5

If the quotient is a whole number, then 2 and 9,118,502.5 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 18,237,005
-1 -18,237,005

Now, we try dividing 18,237,005 by 3:

18,237,005 ÷ 3 = 6,079,001.6667

If the quotient is a whole number, then 3 and 6,079,001.6667 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 18,237,005
-1 -18,237,005

Let's try dividing by 4:

18,237,005 ÷ 4 = 4,559,251.25

If the quotient is a whole number, then 4 and 4,559,251.25 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 18,237,005
-1 18,237,005
Keep dividing by the next highest number until you cannot divide anymore.

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

151741852056973,4855,23326,16588,961214,553444,8051,072,7653,647,40118,237,005
-1-5-17-41-85-205-697-3,485-5,233-26,165-88,961-214,553-444,805-1,072,765-3,647,401-18,237,005

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