Q: What are the factor combinations of the number 21,050,015?

 A:
Positive:   1 x 210500155 x 42100037 x 300714535 x 60142941 x 513415205 x 102683287 x 733451435 x 14669
Negative: -1 x -21050015-5 x -4210003-7 x -3007145-35 x -601429-41 x -513415-205 x -102683-287 x -73345-1435 x -14669


How do I find the factor combinations of the number 21,050,015?

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 21,050,015, 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 21,050,015
-1 -21,050,015

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 21,050,015.

Example:
1 x 21,050,015 = 21,050,015
and
-1 x -21,050,015 = 21,050,015
Notice both answers equal 21,050,015

With that explanation out of the way, let's continue. Next, we take the number 21,050,015 and divide it by 2:

21,050,015 ÷ 2 = 10,525,007.5

If the quotient is a whole number, then 2 and 10,525,007.5 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 21,050,015
-1 -21,050,015

Now, we try dividing 21,050,015 by 3:

21,050,015 ÷ 3 = 7,016,671.6667

If the quotient is a whole number, then 3 and 7,016,671.6667 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 21,050,015
-1 -21,050,015

Let's try dividing by 4:

21,050,015 ÷ 4 = 5,262,503.75

If the quotient is a whole number, then 4 and 5,262,503.75 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 21,050,015
-1 21,050,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,43514,66973,345102,683513,415601,4293,007,1454,210,00321,050,015
-1-5-7-35-41-205-287-1,435-14,669-73,345-102,683-513,415-601,429-3,007,145-4,210,003-21,050,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,050,015:


Ask a Question