Q: What are the factor combinations of the number 138,713,155?

 A:
Positive:   1 x 1387131555 x 277426317 x 1981616535 x 3963233367 x 3779651835 x 755932569 x 5399510799 x 12845
Negative: -1 x -138713155-5 x -27742631-7 x -19816165-35 x -3963233-367 x -377965-1835 x -75593-2569 x -53995-10799 x -12845


How do I find the factor combinations of the number 138,713,155?

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 138,713,155, 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.

1 138,713,155
-1 -138,713,155

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 138,713,155.

Example:
1 x 138,713,155 = 138,713,155
and
-1 x -138,713,155 = 138,713,155
Notice both answers equal 138,713,155

With that explanation out of the way, let's continue. Next, we take the number 138,713,155 and divide it by 2:

138,713,155 ÷ 2 = 69,356,577.5

If the quotient is a whole number, then 2 and 69,356,577.5 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:

1 138,713,155
-1 -138,713,155

Now, we try dividing 138,713,155 by 3:

138,713,155 ÷ 3 = 46,237,718.3333

If the quotient is a whole number, then 3 and 46,237,718.3333 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:

1 138,713,155
-1 -138,713,155

Let's try dividing by 4:

138,713,155 ÷ 4 = 34,678,288.75

If the quotient is a whole number, then 4 and 34,678,288.75 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:

1 138,713,155
-1 138,713,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157353671,8352,56910,79912,84553,99575,593377,9653,963,23319,816,16527,742,631138,713,155
-1-5-7-35-367-1,835-2,569-10,799-12,845-53,995-75,593-377,965-3,963,233-19,816,165-27,742,631-138,713,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 138,713,155:


Ask a Question