Q: What are the factor combinations of the number 21,067,067?

 A:
Positive:   1 x 210670677 x 300958119 x 1108793133 x 158399151 x 1395171049 x 200831057 x 199312869 x 7343
Negative: -1 x -21067067-7 x -3009581-19 x -1108793-133 x -158399-151 x -139517-1049 x -20083-1057 x -19931-2869 x -7343


How do I find the factor combinations of the number 21,067,067?

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 21,067,067, 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 21,067,067
-1 -21,067,067

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 21,067,067.

Example:
1 x 21,067,067 = 21,067,067
and
-1 x -21,067,067 = 21,067,067
Notice both answers equal 21,067,067

With that explanation out of the way, let's continue. Next, we take the number 21,067,067 and divide it by 2:

21,067,067 ÷ 2 = 10,533,533.5

If the quotient is a whole number, then 2 and 10,533,533.5 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 21,067,067
-1 -21,067,067

Now, we try dividing 21,067,067 by 3:

21,067,067 ÷ 3 = 7,022,355.6667

If the quotient is a whole number, then 3 and 7,022,355.6667 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 21,067,067
-1 -21,067,067

Let's try dividing by 4:

21,067,067 ÷ 4 = 5,266,766.75

If the quotient is a whole number, then 4 and 5,266,766.75 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 21,067,067
-1 21,067,067
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331511,0491,0572,8697,34319,93120,083139,517158,3991,108,7933,009,58121,067,067
-1-7-19-133-151-1,049-1,057-2,869-7,343-19,931-20,083-139,517-158,399-1,108,793-3,009,581-21,067,067

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,067,067:


Ask a Question