Q: What are the factor combinations of the number 20,665,435?

 A:
Positive:   1 x 206654355 x 41330877 x 295220535 x 59044141 x 504035205 x 100807287 x 720051435 x 14401
Negative: -1 x -20665435-5 x -4133087-7 x -2952205-35 x -590441-41 x -504035-205 x -100807-287 x -72005-1435 x -14401


How do I find the factor combinations of the number 20,665,435?

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 20,665,435, 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 20,665,435
-1 -20,665,435

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 20,665,435.

Example:
1 x 20,665,435 = 20,665,435
and
-1 x -20,665,435 = 20,665,435
Notice both answers equal 20,665,435

With that explanation out of the way, let's continue. Next, we take the number 20,665,435 and divide it by 2:

20,665,435 ÷ 2 = 10,332,717.5

If the quotient is a whole number, then 2 and 10,332,717.5 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 20,665,435
-1 -20,665,435

Now, we try dividing 20,665,435 by 3:

20,665,435 ÷ 3 = 6,888,478.3333

If the quotient is a whole number, then 3 and 6,888,478.3333 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 20,665,435
-1 -20,665,435

Let's try dividing by 4:

20,665,435 ÷ 4 = 5,166,358.75

If the quotient is a whole number, then 4 and 5,166,358.75 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 20,665,435
-1 20,665,435
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43514,40172,005100,807504,035590,4412,952,2054,133,08720,665,435
-1-5-7-35-41-205-287-1,435-14,401-72,005-100,807-504,035-590,441-2,952,205-4,133,087-20,665,435

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