Q: What are the factor combinations of the number 21,011,419?

 A:
Positive:   1 x 2101141911 x 191012913 x 1616263143 x 146933
Negative: -1 x -21011419-11 x -1910129-13 x -1616263-143 x -146933


How do I find the factor combinations of the number 21,011,419?

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 21,011,419, 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 21,011,419
-1 -21,011,419

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 21,011,419.

Example:
1 x 21,011,419 = 21,011,419
and
-1 x -21,011,419 = 21,011,419
Notice both answers equal 21,011,419

With that explanation out of the way, let's continue. Next, we take the number 21,011,419 and divide it by 2:

21,011,419 ÷ 2 = 10,505,709.5

If the quotient is a whole number, then 2 and 10,505,709.5 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 21,011,419
-1 -21,011,419

Now, we try dividing 21,011,419 by 3:

21,011,419 ÷ 3 = 7,003,806.3333

If the quotient is a whole number, then 3 and 7,003,806.3333 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 21,011,419
-1 -21,011,419

Let's try dividing by 4:

21,011,419 ÷ 4 = 5,252,854.75

If the quotient is a whole number, then 4 and 5,252,854.75 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 21,011,419
-1 21,011,419
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143146,9331,616,2631,910,12921,011,419
-1-11-13-143-146,933-1,616,263-1,910,129-21,011,419

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,011,419:


Ask a Question