Q: What are the factor combinations of the number 164,513,665?

 A:
Positive:   1 x 1645136655 x 3290273329 x 5672885145 x 1134577571 x 2881151987 x 827952855 x 576239935 x 16559
Negative: -1 x -164513665-5 x -32902733-29 x -5672885-145 x -1134577-571 x -288115-1987 x -82795-2855 x -57623-9935 x -16559


How do I find the factor combinations of the number 164,513,665?

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 164,513,665, 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.

1 164,513,665
-1 -164,513,665

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 164,513,665.

Example:
1 x 164,513,665 = 164,513,665
and
-1 x -164,513,665 = 164,513,665
Notice both answers equal 164,513,665

With that explanation out of the way, let's continue. Next, we take the number 164,513,665 and divide it by 2:

164,513,665 ÷ 2 = 82,256,832.5

If the quotient is a whole number, then 2 and 82,256,832.5 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:

1 164,513,665
-1 -164,513,665

Now, we try dividing 164,513,665 by 3:

164,513,665 ÷ 3 = 54,837,888.3333

If the quotient is a whole number, then 3 and 54,837,888.3333 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:

1 164,513,665
-1 -164,513,665

Let's try dividing by 4:

164,513,665 ÷ 4 = 41,128,416.25

If the quotient is a whole number, then 4 and 41,128,416.25 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:

1 164,513,665
-1 164,513,665
Keep dividing by the next highest number until you cannot divide anymore.

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

15291455711,9872,8559,93516,55957,62382,795288,1151,134,5775,672,88532,902,733164,513,665
-1-5-29-145-571-1,987-2,855-9,935-16,559-57,623-82,795-288,115-1,134,577-5,672,885-32,902,733-164,513,665

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