Q: What are the factor combinations of the number 18,365,795?

 A:
Positive:   1 x 183657955 x 36731597 x 262368531 x 59244535 x 524737155 x 118489217 x 846351085 x 16927
Negative: -1 x -18365795-5 x -3673159-7 x -2623685-31 x -592445-35 x -524737-155 x -118489-217 x -84635-1085 x -16927


How do I find the factor combinations of the number 18,365,795?

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 18,365,795, 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 18,365,795
-1 -18,365,795

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 18,365,795.

Example:
1 x 18,365,795 = 18,365,795
and
-1 x -18,365,795 = 18,365,795
Notice both answers equal 18,365,795

With that explanation out of the way, let's continue. Next, we take the number 18,365,795 and divide it by 2:

18,365,795 ÷ 2 = 9,182,897.5

If the quotient is a whole number, then 2 and 9,182,897.5 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 18,365,795
-1 -18,365,795

Now, we try dividing 18,365,795 by 3:

18,365,795 ÷ 3 = 6,121,931.6667

If the quotient is a whole number, then 3 and 6,121,931.6667 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 18,365,795
-1 -18,365,795

Let's try dividing by 4:

18,365,795 ÷ 4 = 4,591,448.75

If the quotient is a whole number, then 4 and 4,591,448.75 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 18,365,795
-1 18,365,795
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552171,08516,92784,635118,489524,737592,4452,623,6853,673,15918,365,795
-1-5-7-31-35-155-217-1,085-16,927-84,635-118,489-524,737-592,445-2,623,685-3,673,159-18,365,795

More Examples

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