Q: What are the factor combinations of the number 18,360,647?

 A:
Positive:   1 x 1836064723 x 798289761 x 241271049 x 17503
Negative: -1 x -18360647-23 x -798289-761 x -24127-1049 x -17503


How do I find the factor combinations of the number 18,360,647?

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 18,360,647, 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 18,360,647
-1 -18,360,647

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 18,360,647.

Example:
1 x 18,360,647 = 18,360,647
and
-1 x -18,360,647 = 18,360,647
Notice both answers equal 18,360,647

With that explanation out of the way, let's continue. Next, we take the number 18,360,647 and divide it by 2:

18,360,647 ÷ 2 = 9,180,323.5

If the quotient is a whole number, then 2 and 9,180,323.5 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 18,360,647
-1 -18,360,647

Now, we try dividing 18,360,647 by 3:

18,360,647 ÷ 3 = 6,120,215.6667

If the quotient is a whole number, then 3 and 6,120,215.6667 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 18,360,647
-1 -18,360,647

Let's try dividing by 4:

18,360,647 ÷ 4 = 4,590,161.75

If the quotient is a whole number, then 4 and 4,590,161.75 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 18,360,647
-1 18,360,647
Keep dividing by the next highest number until you cannot divide anymore.

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

1237611,04917,50324,127798,28918,360,647
-1-23-761-1,049-17,503-24,127-798,289-18,360,647

More Examples

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