Q: What are the factor combinations of the number 165,106,655?

 A:
Positive:   1 x 1651066555 x 330213317 x 2358666535 x 471733373 x 2261735365 x 452347511 x 3231052555 x 64621
Negative: -1 x -165106655-5 x -33021331-7 x -23586665-35 x -4717333-73 x -2261735-365 x -452347-511 x -323105-2555 x -64621


How do I find the factor combinations of the number 165,106,655?

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 165,106,655, 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.

1 165,106,655
-1 -165,106,655

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 165,106,655.

Example:
1 x 165,106,655 = 165,106,655
and
-1 x -165,106,655 = 165,106,655
Notice both answers equal 165,106,655

With that explanation out of the way, let's continue. Next, we take the number 165,106,655 and divide it by 2:

165,106,655 ÷ 2 = 82,553,327.5

If the quotient is a whole number, then 2 and 82,553,327.5 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:

1 165,106,655
-1 -165,106,655

Now, we try dividing 165,106,655 by 3:

165,106,655 ÷ 3 = 55,035,551.6667

If the quotient is a whole number, then 3 and 55,035,551.6667 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:

1 165,106,655
-1 -165,106,655

Let's try dividing by 4:

165,106,655 ÷ 4 = 41,276,663.75

If the quotient is a whole number, then 4 and 41,276,663.75 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:

1 165,106,655
-1 165,106,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15735733655112,55564,621323,105452,3472,261,7354,717,33323,586,66533,021,331165,106,655
-1-5-7-35-73-365-511-2,555-64,621-323,105-452,347-2,261,735-4,717,333-23,586,665-33,021,331-165,106,655

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 165,106,655:


Ask a Question