Q: What are the factor combinations of the number 164,320,661?

 A:
Positive:   1 x 16432066141 x 400782183 x 1979767109 x 1507529443 x 3709273403 x 482874469 x 367699047 x 18163
Negative: -1 x -164320661-41 x -4007821-83 x -1979767-109 x -1507529-443 x -370927-3403 x -48287-4469 x -36769-9047 x -18163


How do I find the factor combinations of the number 164,320,661?

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 164,320,661, 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.

1 164,320,661
-1 -164,320,661

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 164,320,661.

Example:
1 x 164,320,661 = 164,320,661
and
-1 x -164,320,661 = 164,320,661
Notice both answers equal 164,320,661

With that explanation out of the way, let's continue. Next, we take the number 164,320,661 and divide it by 2:

164,320,661 ÷ 2 = 82,160,330.5

If the quotient is a whole number, then 2 and 82,160,330.5 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:

1 164,320,661
-1 -164,320,661

Now, we try dividing 164,320,661 by 3:

164,320,661 ÷ 3 = 54,773,553.6667

If the quotient is a whole number, then 3 and 54,773,553.6667 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:

1 164,320,661
-1 -164,320,661

Let's try dividing by 4:

164,320,661 ÷ 4 = 41,080,165.25

If the quotient is a whole number, then 4 and 41,080,165.25 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:

1 164,320,661
-1 164,320,661
Keep dividing by the next highest number until you cannot divide anymore.

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

141831094433,4034,4699,04718,16336,76948,287370,9271,507,5291,979,7674,007,821164,320,661
-1-41-83-109-443-3,403-4,469-9,047-18,163-36,769-48,287-370,927-1,507,529-1,979,767-4,007,821-164,320,661

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