Q: What are the factor combinations of the number 21,430,457?

 A:
Positive:   1 x 2143045723 x 931759397 x 539812347 x 9131
Negative: -1 x -21430457-23 x -931759-397 x -53981-2347 x -9131


How do I find the factor combinations of the number 21,430,457?

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 21,430,457, 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 21,430,457
-1 -21,430,457

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 21,430,457.

Example:
1 x 21,430,457 = 21,430,457
and
-1 x -21,430,457 = 21,430,457
Notice both answers equal 21,430,457

With that explanation out of the way, let's continue. Next, we take the number 21,430,457 and divide it by 2:

21,430,457 ÷ 2 = 10,715,228.5

If the quotient is a whole number, then 2 and 10,715,228.5 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 21,430,457
-1 -21,430,457

Now, we try dividing 21,430,457 by 3:

21,430,457 ÷ 3 = 7,143,485.6667

If the quotient is a whole number, then 3 and 7,143,485.6667 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 21,430,457
-1 -21,430,457

Let's try dividing by 4:

21,430,457 ÷ 4 = 5,357,614.25

If the quotient is a whole number, then 4 and 5,357,614.25 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 21,430,457
-1 21,430,457
Keep dividing by the next highest number until you cannot divide anymore.

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

1233972,3479,13153,981931,75921,430,457
-1-23-397-2,347-9,131-53,981-931,759-21,430,457

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 21,430,457:


Ask a Question