Q: What are the factor combinations of the number 135,717,127?

 A:
Positive:   1 x 1357171277 x 1938816113 x 1043977991 x 14913971091 x 1243971367 x 992817637 x 177719569 x 14183
Negative: -1 x -135717127-7 x -19388161-13 x -10439779-91 x -1491397-1091 x -124397-1367 x -99281-7637 x -17771-9569 x -14183


How do I find the factor combinations of the number 135,717,127?

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 135,717,127, 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.

1 135,717,127
-1 -135,717,127

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 135,717,127.

Example:
1 x 135,717,127 = 135,717,127
and
-1 x -135,717,127 = 135,717,127
Notice both answers equal 135,717,127

With that explanation out of the way, let's continue. Next, we take the number 135,717,127 and divide it by 2:

135,717,127 ÷ 2 = 67,858,563.5

If the quotient is a whole number, then 2 and 67,858,563.5 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:

1 135,717,127
-1 -135,717,127

Now, we try dividing 135,717,127 by 3:

135,717,127 ÷ 3 = 45,239,042.3333

If the quotient is a whole number, then 3 and 45,239,042.3333 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:

1 135,717,127
-1 -135,717,127

Let's try dividing by 4:

135,717,127 ÷ 4 = 33,929,281.75

If the quotient is a whole number, then 4 and 33,929,281.75 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:

1 135,717,127
-1 135,717,127
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911,0911,3677,6379,56914,18317,77199,281124,3971,491,39710,439,77919,388,161135,717,127
-1-7-13-91-1,091-1,367-7,637-9,569-14,183-17,771-99,281-124,397-1,491,397-10,439,779-19,388,161-135,717,127

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 135,717,127:


Ask a Question