Q: What are the factor combinations of the number 21,703,801?

 A:
Positive:   1 x 217038017 x 310054341 x 52936147 x 461783287 x 75623329 x 659691609 x 134891927 x 11263
Negative: -1 x -21703801-7 x -3100543-41 x -529361-47 x -461783-287 x -75623-329 x -65969-1609 x -13489-1927 x -11263


How do I find the factor combinations of the number 21,703,801?

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 21,703,801, 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 21,703,801
-1 -21,703,801

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 21,703,801.

Example:
1 x 21,703,801 = 21,703,801
and
-1 x -21,703,801 = 21,703,801
Notice both answers equal 21,703,801

With that explanation out of the way, let's continue. Next, we take the number 21,703,801 and divide it by 2:

21,703,801 ÷ 2 = 10,851,900.5

If the quotient is a whole number, then 2 and 10,851,900.5 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 21,703,801
-1 -21,703,801

Now, we try dividing 21,703,801 by 3:

21,703,801 ÷ 3 = 7,234,600.3333

If the quotient is a whole number, then 3 and 7,234,600.3333 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 21,703,801
-1 -21,703,801

Let's try dividing by 4:

21,703,801 ÷ 4 = 5,425,950.25

If the quotient is a whole number, then 4 and 5,425,950.25 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 21,703,801
-1 21,703,801
Keep dividing by the next highest number until you cannot divide anymore.

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

1741472873291,6091,92711,26313,48965,96975,623461,783529,3613,100,54321,703,801
-1-7-41-47-287-329-1,609-1,927-11,263-13,489-65,969-75,623-461,783-529,361-3,100,543-21,703,801

More Examples

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