Q: What are the factor combinations of the number 18,613,015?

 A:
Positive:   1 x 186130155 x 372260389 x 209135151 x 123265277 x 67195445 x 41827755 x 246531385 x 13439
Negative: -1 x -18613015-5 x -3722603-89 x -209135-151 x -123265-277 x -67195-445 x -41827-755 x -24653-1385 x -13439


How do I find the factor combinations of the number 18,613,015?

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 18,613,015, 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 18,613,015
-1 -18,613,015

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 18,613,015.

Example:
1 x 18,613,015 = 18,613,015
and
-1 x -18,613,015 = 18,613,015
Notice both answers equal 18,613,015

With that explanation out of the way, let's continue. Next, we take the number 18,613,015 and divide it by 2:

18,613,015 ÷ 2 = 9,306,507.5

If the quotient is a whole number, then 2 and 9,306,507.5 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 18,613,015
-1 -18,613,015

Now, we try dividing 18,613,015 by 3:

18,613,015 ÷ 3 = 6,204,338.3333

If the quotient is a whole number, then 3 and 6,204,338.3333 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 18,613,015
-1 -18,613,015

Let's try dividing by 4:

18,613,015 ÷ 4 = 4,653,253.75

If the quotient is a whole number, then 4 and 4,653,253.75 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 18,613,015
-1 18,613,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15891512774457551,38513,43924,65341,82767,195123,265209,1353,722,60318,613,015
-1-5-89-151-277-445-755-1,385-13,439-24,653-41,827-67,195-123,265-209,135-3,722,603-18,613,015

More Examples

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