Q: What are the factor combinations of the number 18,502,105?

 A:
Positive:   1 x 185021055 x 370042119 x 97379559 x 31359595 x 194759295 x 627191121 x 165053301 x 5605
Negative: -1 x -18502105-5 x -3700421-19 x -973795-59 x -313595-95 x -194759-295 x -62719-1121 x -16505-3301 x -5605


How do I find the factor combinations of the number 18,502,105?

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 18,502,105, 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 18,502,105
-1 -18,502,105

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 18,502,105.

Example:
1 x 18,502,105 = 18,502,105
and
-1 x -18,502,105 = 18,502,105
Notice both answers equal 18,502,105

With that explanation out of the way, let's continue. Next, we take the number 18,502,105 and divide it by 2:

18,502,105 ÷ 2 = 9,251,052.5

If the quotient is a whole number, then 2 and 9,251,052.5 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 18,502,105
-1 -18,502,105

Now, we try dividing 18,502,105 by 3:

18,502,105 ÷ 3 = 6,167,368.3333

If the quotient is a whole number, then 3 and 6,167,368.3333 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 18,502,105
-1 -18,502,105

Let's try dividing by 4:

18,502,105 ÷ 4 = 4,625,526.25

If the quotient is a whole number, then 4 and 4,625,526.25 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 18,502,105
-1 18,502,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151959952951,1213,3015,60516,50562,719194,759313,595973,7953,700,42118,502,105
-1-5-19-59-95-295-1,121-3,301-5,605-16,505-62,719-194,759-313,595-973,795-3,700,421-18,502,105

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 18,502,105:


Ask a Question