Q: What are the factor combinations of the number 138,351,111?

 A:
Positive:   1 x 1383511113 x 4611703761 x 2268051183 x 756017241 x 574071723 x 1913573137 x 441039411 x 14701
Negative: -1 x -138351111-3 x -46117037-61 x -2268051-183 x -756017-241 x -574071-723 x -191357-3137 x -44103-9411 x -14701


How do I find the factor combinations of the number 138,351,111?

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 138,351,111, 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.

1 138,351,111
-1 -138,351,111

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 138,351,111.

Example:
1 x 138,351,111 = 138,351,111
and
-1 x -138,351,111 = 138,351,111
Notice both answers equal 138,351,111

With that explanation out of the way, let's continue. Next, we take the number 138,351,111 and divide it by 2:

138,351,111 ÷ 2 = 69,175,555.5

If the quotient is a whole number, then 2 and 69,175,555.5 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:

1 138,351,111
-1 -138,351,111

Now, we try dividing 138,351,111 by 3:

138,351,111 ÷ 3 = 46,117,037

If the quotient is a whole number, then 3 and 46,117,037 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 3 46,117,037 138,351,111
-1 -3 -46,117,037 -138,351,111

Let's try dividing by 4:

138,351,111 ÷ 4 = 34,587,777.75

If the quotient is a whole number, then 4 and 34,587,777.75 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 3 46,117,037 138,351,111
-1 -3 -46,117,037 138,351,111
Keep dividing by the next highest number until you cannot divide anymore.

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

13611832417233,1379,41114,70144,103191,357574,071756,0172,268,05146,117,037138,351,111
-1-3-61-183-241-723-3,137-9,411-14,701-44,103-191,357-574,071-756,017-2,268,051-46,117,037-138,351,111

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 138,351,111:


Ask a Question