Q: What are the factor combinations of the number 20,704,145?

 A:
Positive:   1 x 207041455 x 41408297 x 295773511 x 188219535 x 59154755 x 37643977 x 268885385 x 53777
Negative: -1 x -20704145-5 x -4140829-7 x -2957735-11 x -1882195-35 x -591547-55 x -376439-77 x -268885-385 x -53777


How do I find the factor combinations of the number 20,704,145?

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 20,704,145, 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 20,704,145
-1 -20,704,145

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 20,704,145.

Example:
1 x 20,704,145 = 20,704,145
and
-1 x -20,704,145 = 20,704,145
Notice both answers equal 20,704,145

With that explanation out of the way, let's continue. Next, we take the number 20,704,145 and divide it by 2:

20,704,145 ÷ 2 = 10,352,072.5

If the quotient is a whole number, then 2 and 10,352,072.5 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 20,704,145
-1 -20,704,145

Now, we try dividing 20,704,145 by 3:

20,704,145 ÷ 3 = 6,901,381.6667

If the quotient is a whole number, then 3 and 6,901,381.6667 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 20,704,145
-1 -20,704,145

Let's try dividing by 4:

20,704,145 ÷ 4 = 5,176,036.25

If the quotient is a whole number, then 4 and 5,176,036.25 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 20,704,145
-1 20,704,145
Keep dividing by the next highest number until you cannot divide anymore.

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

1571135557738553,777268,885376,439591,5471,882,1952,957,7354,140,82920,704,145
-1-5-7-11-35-55-77-385-53,777-268,885-376,439-591,547-1,882,195-2,957,735-4,140,829-20,704,145

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