Q: What are the factor combinations of the number 20,771,621?

 A:
Positive:   1 x 2077162113 x 159781789 x 233389169 x 1229091157 x 179531381 x 15041
Negative: -1 x -20771621-13 x -1597817-89 x -233389-169 x -122909-1157 x -17953-1381 x -15041


How do I find the factor combinations of the number 20,771,621?

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 20,771,621, 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 20,771,621
-1 -20,771,621

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 20,771,621.

Example:
1 x 20,771,621 = 20,771,621
and
-1 x -20,771,621 = 20,771,621
Notice both answers equal 20,771,621

With that explanation out of the way, let's continue. Next, we take the number 20,771,621 and divide it by 2:

20,771,621 ÷ 2 = 10,385,810.5

If the quotient is a whole number, then 2 and 10,385,810.5 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 20,771,621
-1 -20,771,621

Now, we try dividing 20,771,621 by 3:

20,771,621 ÷ 3 = 6,923,873.6667

If the quotient is a whole number, then 3 and 6,923,873.6667 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 20,771,621
-1 -20,771,621

Let's try dividing by 4:

20,771,621 ÷ 4 = 5,192,905.25

If the quotient is a whole number, then 4 and 5,192,905.25 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 20,771,621
-1 20,771,621
Keep dividing by the next highest number until you cannot divide anymore.

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

113891691,1571,38115,04117,953122,909233,3891,597,81720,771,621
-1-13-89-169-1,157-1,381-15,041-17,953-122,909-233,389-1,597,817-20,771,621

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 20,771,621:


Ask a Question