Q: What are the factor combinations of the number 135,570,155?

 A:
Positive:   1 x 1355701555 x 271140317 x 1936716517 x 797471535 x 387343385 x 1594943119 x 1139245595 x 227849
Negative: -1 x -135570155-5 x -27114031-7 x -19367165-17 x -7974715-35 x -3873433-85 x -1594943-119 x -1139245-595 x -227849


How do I find the factor combinations of the number 135,570,155?

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 135,570,155, 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.

1 135,570,155
-1 -135,570,155

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 135,570,155.

Example:
1 x 135,570,155 = 135,570,155
and
-1 x -135,570,155 = 135,570,155
Notice both answers equal 135,570,155

With that explanation out of the way, let's continue. Next, we take the number 135,570,155 and divide it by 2:

135,570,155 ÷ 2 = 67,785,077.5

If the quotient is a whole number, then 2 and 67,785,077.5 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:

1 135,570,155
-1 -135,570,155

Now, we try dividing 135,570,155 by 3:

135,570,155 ÷ 3 = 45,190,051.6667

If the quotient is a whole number, then 3 and 45,190,051.6667 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:

1 135,570,155
-1 -135,570,155

Let's try dividing by 4:

135,570,155 ÷ 4 = 33,892,538.75

If the quotient is a whole number, then 4 and 33,892,538.75 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:

1 135,570,155
-1 135,570,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157173585119595227,8491,139,2451,594,9433,873,4337,974,71519,367,16527,114,031135,570,155
-1-5-7-17-35-85-119-595-227,849-1,139,245-1,594,943-3,873,433-7,974,715-19,367,165-27,114,031-135,570,155

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 135,570,155:


Ask a Question