Q: What are the factor combinations of the number 20,110,949?

 A:
Positive:   1 x 2011094917 x 118299719 x 105847129 x 693481113 x 177973323 x 62263361 x 55709493 x 40793551 x 364991921 x 104692147 x 93673277 x 6137
Negative: -1 x -20110949-17 x -1182997-19 x -1058471-29 x -693481-113 x -177973-323 x -62263-361 x -55709-493 x -40793-551 x -36499-1921 x -10469-2147 x -9367-3277 x -6137


How do I find the factor combinations of the number 20,110,949?

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 20,110,949, 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 20,110,949
-1 -20,110,949

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 20,110,949.

Example:
1 x 20,110,949 = 20,110,949
and
-1 x -20,110,949 = 20,110,949
Notice both answers equal 20,110,949

With that explanation out of the way, let's continue. Next, we take the number 20,110,949 and divide it by 2:

20,110,949 ÷ 2 = 10,055,474.5

If the quotient is a whole number, then 2 and 10,055,474.5 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 20,110,949
-1 -20,110,949

Now, we try dividing 20,110,949 by 3:

20,110,949 ÷ 3 = 6,703,649.6667

If the quotient is a whole number, then 3 and 6,703,649.6667 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 20,110,949
-1 -20,110,949

Let's try dividing by 4:

20,110,949 ÷ 4 = 5,027,737.25

If the quotient is a whole number, then 4 and 5,027,737.25 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 20,110,949
-1 20,110,949
Keep dividing by the next highest number until you cannot divide anymore.

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

11719291133233614935511,9212,1473,2776,1379,36710,46936,49940,79355,70962,263177,973693,4811,058,4711,182,99720,110,949
-1-17-19-29-113-323-361-493-551-1,921-2,147-3,277-6,137-9,367-10,469-36,499-40,793-55,709-62,263-177,973-693,481-1,058,471-1,182,997-20,110,949

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