Q: What are the factor combinations of the number 19,389,013?

 A:
Positive:   1 x 193890137 x 2769859163 x 1189511141 x 16993
Negative: -1 x -19389013-7 x -2769859-163 x -118951-1141 x -16993


How do I find the factor combinations of the number 19,389,013?

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 19,389,013, 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 19,389,013
-1 -19,389,013

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 19,389,013.

Example:
1 x 19,389,013 = 19,389,013
and
-1 x -19,389,013 = 19,389,013
Notice both answers equal 19,389,013

With that explanation out of the way, let's continue. Next, we take the number 19,389,013 and divide it by 2:

19,389,013 ÷ 2 = 9,694,506.5

If the quotient is a whole number, then 2 and 9,694,506.5 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 19,389,013
-1 -19,389,013

Now, we try dividing 19,389,013 by 3:

19,389,013 ÷ 3 = 6,463,004.3333

If the quotient is a whole number, then 3 and 6,463,004.3333 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 19,389,013
-1 -19,389,013

Let's try dividing by 4:

19,389,013 ÷ 4 = 4,847,253.25

If the quotient is a whole number, then 4 and 4,847,253.25 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 19,389,013
-1 19,389,013
Keep dividing by the next highest number until you cannot divide anymore.

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

171631,14116,993118,9512,769,85919,389,013
-1-7-163-1,141-16,993-118,951-2,769,859-19,389,013

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 19,389,013:


Ask a Question