Q: What are the factor combinations of the number 20,525,351?

 A:
Positive:   1 x 205253517 x 293219311 x 186594177 x 266563121 x 169631847 x 242331331 x 154212203 x 9317
Negative: -1 x -20525351-7 x -2932193-11 x -1865941-77 x -266563-121 x -169631-847 x -24233-1331 x -15421-2203 x -9317


How do I find the factor combinations of the number 20,525,351?

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 20,525,351, 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 20,525,351
-1 -20,525,351

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 20,525,351.

Example:
1 x 20,525,351 = 20,525,351
and
-1 x -20,525,351 = 20,525,351
Notice both answers equal 20,525,351

With that explanation out of the way, let's continue. Next, we take the number 20,525,351 and divide it by 2:

20,525,351 ÷ 2 = 10,262,675.5

If the quotient is a whole number, then 2 and 10,262,675.5 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 20,525,351
-1 -20,525,351

Now, we try dividing 20,525,351 by 3:

20,525,351 ÷ 3 = 6,841,783.6667

If the quotient is a whole number, then 3 and 6,841,783.6667 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 20,525,351
-1 -20,525,351

Let's try dividing by 4:

20,525,351 ÷ 4 = 5,131,337.75

If the quotient is a whole number, then 4 and 5,131,337.75 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 20,525,351
-1 20,525,351
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771218471,3312,2039,31715,42124,233169,631266,5631,865,9412,932,19320,525,351
-1-7-11-77-121-847-1,331-2,203-9,317-15,421-24,233-169,631-266,563-1,865,941-2,932,193-20,525,351

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