Q: What are the factor combinations of the number 20,042,045?

 A:
Positive:   1 x 200420455 x 400840929 x 69110567 x 299135145 x 138221335 x 598271943 x 103152063 x 9715
Negative: -1 x -20042045-5 x -4008409-29 x -691105-67 x -299135-145 x -138221-335 x -59827-1943 x -10315-2063 x -9715


How do I find the factor combinations of the number 20,042,045?

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 20,042,045, 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 20,042,045
-1 -20,042,045

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 20,042,045.

Example:
1 x 20,042,045 = 20,042,045
and
-1 x -20,042,045 = 20,042,045
Notice both answers equal 20,042,045

With that explanation out of the way, let's continue. Next, we take the number 20,042,045 and divide it by 2:

20,042,045 ÷ 2 = 10,021,022.5

If the quotient is a whole number, then 2 and 10,021,022.5 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 20,042,045
-1 -20,042,045

Now, we try dividing 20,042,045 by 3:

20,042,045 ÷ 3 = 6,680,681.6667

If the quotient is a whole number, then 3 and 6,680,681.6667 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 20,042,045
-1 -20,042,045

Let's try dividing by 4:

20,042,045 ÷ 4 = 5,010,511.25

If the quotient is a whole number, then 4 and 5,010,511.25 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 20,042,045
-1 20,042,045
Keep dividing by the next highest number until you cannot divide anymore.

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

1529671453351,9432,0639,71510,31559,827138,221299,135691,1054,008,40920,042,045
-1-5-29-67-145-335-1,943-2,063-9,715-10,315-59,827-138,221-299,135-691,105-4,008,409-20,042,045

More Examples

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