Q: What are the factor combinations of the number 162,371,165?

 A:
Positive:   1 x 1623711655 x 3247423311 x 1476101517 x 955124555 x 295220385 x 1910249187 x 868295935 x 173659
Negative: -1 x -162371165-5 x -32474233-11 x -14761015-17 x -9551245-55 x -2952203-85 x -1910249-187 x -868295-935 x -173659


How do I find the factor combinations of the number 162,371,165?

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 162,371,165, 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.

1 162,371,165
-1 -162,371,165

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 162,371,165.

Example:
1 x 162,371,165 = 162,371,165
and
-1 x -162,371,165 = 162,371,165
Notice both answers equal 162,371,165

With that explanation out of the way, let's continue. Next, we take the number 162,371,165 and divide it by 2:

162,371,165 ÷ 2 = 81,185,582.5

If the quotient is a whole number, then 2 and 81,185,582.5 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:

1 162,371,165
-1 -162,371,165

Now, we try dividing 162,371,165 by 3:

162,371,165 ÷ 3 = 54,123,721.6667

If the quotient is a whole number, then 3 and 54,123,721.6667 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:

1 162,371,165
-1 -162,371,165

Let's try dividing by 4:

162,371,165 ÷ 4 = 40,592,791.25

If the quotient is a whole number, then 4 and 40,592,791.25 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:

1 162,371,165
-1 162,371,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1511175585187935173,659868,2951,910,2492,952,2039,551,24514,761,01532,474,233162,371,165
-1-5-11-17-55-85-187-935-173,659-868,295-1,910,249-2,952,203-9,551,245-14,761,015-32,474,233-162,371,165

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