Q: What are the factor combinations of the number 20,675,501?

 A:
Positive:   1 x 206755017 x 295364311 x 187959149 x 42194977 x 26851389 x 232309431 x 47971539 x 38359623 x 33187979 x 211193017 x 68534361 x 4741
Negative: -1 x -20675501-7 x -2953643-11 x -1879591-49 x -421949-77 x -268513-89 x -232309-431 x -47971-539 x -38359-623 x -33187-979 x -21119-3017 x -6853-4361 x -4741


How do I find the factor combinations of the number 20,675,501?

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 20,675,501, 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 20,675,501
-1 -20,675,501

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 20,675,501.

Example:
1 x 20,675,501 = 20,675,501
and
-1 x -20,675,501 = 20,675,501
Notice both answers equal 20,675,501

With that explanation out of the way, let's continue. Next, we take the number 20,675,501 and divide it by 2:

20,675,501 ÷ 2 = 10,337,750.5

If the quotient is a whole number, then 2 and 10,337,750.5 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 20,675,501
-1 -20,675,501

Now, we try dividing 20,675,501 by 3:

20,675,501 ÷ 3 = 6,891,833.6667

If the quotient is a whole number, then 3 and 6,891,833.6667 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 20,675,501
-1 -20,675,501

Let's try dividing by 4:

20,675,501 ÷ 4 = 5,168,875.25

If the quotient is a whole number, then 4 and 5,168,875.25 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 20,675,501
-1 20,675,501
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977894315396239793,0174,3614,7416,85321,11933,18738,35947,971232,309268,513421,9491,879,5912,953,64320,675,501
-1-7-11-49-77-89-431-539-623-979-3,017-4,361-4,741-6,853-21,119-33,187-38,359-47,971-232,309-268,513-421,949-1,879,591-2,953,643-20,675,501

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