Q: What are the factor combinations of the number 21,037,471?

 A:
Positive:   1 x 210374717 x 300535313 x 161826791 x 231181151 x 1393211057 x 199031531 x 137411963 x 10717
Negative: -1 x -21037471-7 x -3005353-13 x -1618267-91 x -231181-151 x -139321-1057 x -19903-1531 x -13741-1963 x -10717


How do I find the factor combinations of the number 21,037,471?

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 21,037,471, 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 21,037,471
-1 -21,037,471

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 21,037,471.

Example:
1 x 21,037,471 = 21,037,471
and
-1 x -21,037,471 = 21,037,471
Notice both answers equal 21,037,471

With that explanation out of the way, let's continue. Next, we take the number 21,037,471 and divide it by 2:

21,037,471 ÷ 2 = 10,518,735.5

If the quotient is a whole number, then 2 and 10,518,735.5 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 21,037,471
-1 -21,037,471

Now, we try dividing 21,037,471 by 3:

21,037,471 ÷ 3 = 7,012,490.3333

If the quotient is a whole number, then 3 and 7,012,490.3333 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 21,037,471
-1 -21,037,471

Let's try dividing by 4:

21,037,471 ÷ 4 = 5,259,367.75

If the quotient is a whole number, then 4 and 5,259,367.75 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 21,037,471
-1 21,037,471
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911511,0571,5311,96310,71713,74119,903139,321231,1811,618,2673,005,35321,037,471
-1-7-13-91-151-1,057-1,531-1,963-10,717-13,741-19,903-139,321-231,181-1,618,267-3,005,353-21,037,471

More Examples

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