Q: What are the factor combinations of the number 164,560,121?

 A:
Positive:   1 x 16456012111 x 1496001119 x 866105931 x 5308391121 x 1360001209 x 787369341 x 482581589 x 2793892299 x 715792309 x 712693751 x 438716479 x 25399
Negative: -1 x -164560121-11 x -14960011-19 x -8661059-31 x -5308391-121 x -1360001-209 x -787369-341 x -482581-589 x -279389-2299 x -71579-2309 x -71269-3751 x -43871-6479 x -25399


How do I find the factor combinations of the number 164,560,121?

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 164,560,121, 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.

1 164,560,121
-1 -164,560,121

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 164,560,121.

Example:
1 x 164,560,121 = 164,560,121
and
-1 x -164,560,121 = 164,560,121
Notice both answers equal 164,560,121

With that explanation out of the way, let's continue. Next, we take the number 164,560,121 and divide it by 2:

164,560,121 ÷ 2 = 82,280,060.5

If the quotient is a whole number, then 2 and 82,280,060.5 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:

1 164,560,121
-1 -164,560,121

Now, we try dividing 164,560,121 by 3:

164,560,121 ÷ 3 = 54,853,373.6667

If the quotient is a whole number, then 3 and 54,853,373.6667 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:

1 164,560,121
-1 -164,560,121

Let's try dividing by 4:

164,560,121 ÷ 4 = 41,140,030.25

If the quotient is a whole number, then 4 and 41,140,030.25 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:

1 164,560,121
-1 164,560,121
Keep dividing by the next highest number until you cannot divide anymore.

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

11119311212093415892,2992,3093,7516,47925,39943,87171,26971,579279,389482,581787,3691,360,0015,308,3918,661,05914,960,011164,560,121
-1-11-19-31-121-209-341-589-2,299-2,309-3,751-6,479-25,399-43,871-71,269-71,579-279,389-482,581-787,369-1,360,001-5,308,391-8,661,059-14,960,011-164,560,121

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