Q: What are the factor combinations of the number 18,323,635?

 A:
Positive:   1 x 183236355 x 366472711 x 166578531 x 59108555 x 333157121 x 151435155 x 118217341 x 53735605 x 30287977 x 187551705 x 107473751 x 4885
Negative: -1 x -18323635-5 x -3664727-11 x -1665785-31 x -591085-55 x -333157-121 x -151435-155 x -118217-341 x -53735-605 x -30287-977 x -18755-1705 x -10747-3751 x -4885


How do I find the factor combinations of the number 18,323,635?

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 18,323,635, 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 18,323,635
-1 -18,323,635

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 18,323,635.

Example:
1 x 18,323,635 = 18,323,635
and
-1 x -18,323,635 = 18,323,635
Notice both answers equal 18,323,635

With that explanation out of the way, let's continue. Next, we take the number 18,323,635 and divide it by 2:

18,323,635 ÷ 2 = 9,161,817.5

If the quotient is a whole number, then 2 and 9,161,817.5 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 18,323,635
-1 -18,323,635

Now, we try dividing 18,323,635 by 3:

18,323,635 ÷ 3 = 6,107,878.3333

If the quotient is a whole number, then 3 and 6,107,878.3333 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 18,323,635
-1 -18,323,635

Let's try dividing by 4:

18,323,635 ÷ 4 = 4,580,908.75

If the quotient is a whole number, then 4 and 4,580,908.75 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 18,323,635
-1 18,323,635
Keep dividing by the next highest number until you cannot divide anymore.

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

151131551211553416059771,7053,7514,88510,74718,75530,28753,735118,217151,435333,157591,0851,665,7853,664,72718,323,635
-1-5-11-31-55-121-155-341-605-977-1,705-3,751-4,885-10,747-18,755-30,287-53,735-118,217-151,435-333,157-591,085-1,665,785-3,664,727-18,323,635

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