Q: What are the factor combinations of the number 21,143,551?

 A:
Positive:   1 x 2114355111 x 192214113 x 1626427143 x 147857199 x 106249743 x 284572189 x 96592587 x 8173
Negative: -1 x -21143551-11 x -1922141-13 x -1626427-143 x -147857-199 x -106249-743 x -28457-2189 x -9659-2587 x -8173


How do I find the factor combinations of the number 21,143,551?

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 21,143,551, 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 21,143,551
-1 -21,143,551

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 21,143,551.

Example:
1 x 21,143,551 = 21,143,551
and
-1 x -21,143,551 = 21,143,551
Notice both answers equal 21,143,551

With that explanation out of the way, let's continue. Next, we take the number 21,143,551 and divide it by 2:

21,143,551 ÷ 2 = 10,571,775.5

If the quotient is a whole number, then 2 and 10,571,775.5 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 21,143,551
-1 -21,143,551

Now, we try dividing 21,143,551 by 3:

21,143,551 ÷ 3 = 7,047,850.3333

If the quotient is a whole number, then 3 and 7,047,850.3333 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 21,143,551
-1 -21,143,551

Let's try dividing by 4:

21,143,551 ÷ 4 = 5,285,887.75

If the quotient is a whole number, then 4 and 5,285,887.75 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 21,143,551
-1 21,143,551
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431997432,1892,5878,1739,65928,457106,249147,8571,626,4271,922,14121,143,551
-1-11-13-143-199-743-2,189-2,587-8,173-9,659-28,457-106,249-147,857-1,626,427-1,922,141-21,143,551

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,143,551:


Ask a Question