Q: What are the factor combinations of the number 20,044,115?

 A:
Positive:   1 x 200441155 x 40088237 x 286344513 x 154185535 x 57268965 x 30837191 x 220265455 x 44053
Negative: -1 x -20044115-5 x -4008823-7 x -2863445-13 x -1541855-35 x -572689-65 x -308371-91 x -220265-455 x -44053


How do I find the factor combinations of the number 20,044,115?

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 20,044,115, 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 20,044,115
-1 -20,044,115

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 20,044,115.

Example:
1 x 20,044,115 = 20,044,115
and
-1 x -20,044,115 = 20,044,115
Notice both answers equal 20,044,115

With that explanation out of the way, let's continue. Next, we take the number 20,044,115 and divide it by 2:

20,044,115 ÷ 2 = 10,022,057.5

If the quotient is a whole number, then 2 and 10,022,057.5 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 20,044,115
-1 -20,044,115

Now, we try dividing 20,044,115 by 3:

20,044,115 ÷ 3 = 6,681,371.6667

If the quotient is a whole number, then 3 and 6,681,371.6667 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 20,044,115
-1 -20,044,115

Let's try dividing by 4:

20,044,115 ÷ 4 = 5,011,028.75

If the quotient is a whole number, then 4 and 5,011,028.75 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 20,044,115
-1 20,044,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1571335659145544,053220,265308,371572,6891,541,8552,863,4454,008,82320,044,115
-1-5-7-13-35-65-91-455-44,053-220,265-308,371-572,689-1,541,855-2,863,445-4,008,823-20,044,115

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,044,115:


Ask a Question