Q: What are the factor combinations of the number 20,123,015?

 A:
Positive:   1 x 201230155 x 402460311 x 182936555 x 365873151 x 133265755 x 266531661 x 121152423 x 8305
Negative: -1 x -20123015-5 x -4024603-11 x -1829365-55 x -365873-151 x -133265-755 x -26653-1661 x -12115-2423 x -8305


How do I find the factor combinations of the number 20,123,015?

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 20,123,015, 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 20,123,015
-1 -20,123,015

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 20,123,015.

Example:
1 x 20,123,015 = 20,123,015
and
-1 x -20,123,015 = 20,123,015
Notice both answers equal 20,123,015

With that explanation out of the way, let's continue. Next, we take the number 20,123,015 and divide it by 2:

20,123,015 ÷ 2 = 10,061,507.5

If the quotient is a whole number, then 2 and 10,061,507.5 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 20,123,015
-1 -20,123,015

Now, we try dividing 20,123,015 by 3:

20,123,015 ÷ 3 = 6,707,671.6667

If the quotient is a whole number, then 3 and 6,707,671.6667 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 20,123,015
-1 -20,123,015

Let's try dividing by 4:

20,123,015 ÷ 4 = 5,030,753.75

If the quotient is a whole number, then 4 and 5,030,753.75 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 20,123,015
-1 20,123,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551517551,6612,4238,30512,11526,653133,265365,8731,829,3654,024,60320,123,015
-1-5-11-55-151-755-1,661-2,423-8,305-12,115-26,653-133,265-365,873-1,829,365-4,024,603-20,123,015

More Examples

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