Q: What are the factor combinations of the number 21,662,029?

 A:
Positive:   1 x 2166202917 x 127423771 x 305099131 x 165359137 x 1581171207 x 179472227 x 97272329 x 9301
Negative: -1 x -21662029-17 x -1274237-71 x -305099-131 x -165359-137 x -158117-1207 x -17947-2227 x -9727-2329 x -9301


How do I find the factor combinations of the number 21,662,029?

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 21,662,029, 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 21,662,029
-1 -21,662,029

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 21,662,029.

Example:
1 x 21,662,029 = 21,662,029
and
-1 x -21,662,029 = 21,662,029
Notice both answers equal 21,662,029

With that explanation out of the way, let's continue. Next, we take the number 21,662,029 and divide it by 2:

21,662,029 ÷ 2 = 10,831,014.5

If the quotient is a whole number, then 2 and 10,831,014.5 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 21,662,029
-1 -21,662,029

Now, we try dividing 21,662,029 by 3:

21,662,029 ÷ 3 = 7,220,676.3333

If the quotient is a whole number, then 3 and 7,220,676.3333 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 21,662,029
-1 -21,662,029

Let's try dividing by 4:

21,662,029 ÷ 4 = 5,415,507.25

If the quotient is a whole number, then 4 and 5,415,507.25 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 21,662,029
-1 21,662,029
Keep dividing by the next highest number until you cannot divide anymore.

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

117711311371,2072,2272,3299,3019,72717,947158,117165,359305,0991,274,23721,662,029
-1-17-71-131-137-1,207-2,227-2,329-9,301-9,727-17,947-158,117-165,359-305,099-1,274,237-21,662,029

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,662,029:


Ask a Question