Q: What are the factor combinations of the number 18,211,855?

 A:
Positive:   1 x 182118555 x 364237129 x 62799561 x 29855571 x 256505145 x 125599305 x 59711355 x 51301841 x 216551769 x 102952059 x 88454205 x 4331
Negative: -1 x -18211855-5 x -3642371-29 x -627995-61 x -298555-71 x -256505-145 x -125599-305 x -59711-355 x -51301-841 x -21655-1769 x -10295-2059 x -8845-4205 x -4331


How do I find the factor combinations of the number 18,211,855?

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 18,211,855, 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 18,211,855
-1 -18,211,855

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 18,211,855.

Example:
1 x 18,211,855 = 18,211,855
and
-1 x -18,211,855 = 18,211,855
Notice both answers equal 18,211,855

With that explanation out of the way, let's continue. Next, we take the number 18,211,855 and divide it by 2:

18,211,855 ÷ 2 = 9,105,927.5

If the quotient is a whole number, then 2 and 9,105,927.5 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 18,211,855
-1 -18,211,855

Now, we try dividing 18,211,855 by 3:

18,211,855 ÷ 3 = 6,070,618.3333

If the quotient is a whole number, then 3 and 6,070,618.3333 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 18,211,855
-1 -18,211,855

Let's try dividing by 4:

18,211,855 ÷ 4 = 4,552,963.75

If the quotient is a whole number, then 4 and 4,552,963.75 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 18,211,855
-1 18,211,855
Keep dividing by the next highest number until you cannot divide anymore.

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

152961711453053558411,7692,0594,2054,3318,84510,29521,65551,30159,711125,599256,505298,555627,9953,642,37118,211,855
-1-5-29-61-71-145-305-355-841-1,769-2,059-4,205-4,331-8,845-10,295-21,655-51,301-59,711-125,599-256,505-298,555-627,995-3,642,371-18,211,855

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