Q: What are the factor combinations of the number 21,703,435?

 A:
Positive:   1 x 217034355 x 434068713 x 166949565 x 333899379 x 57265881 x 246351895 x 114534405 x 4927
Negative: -1 x -21703435-5 x -4340687-13 x -1669495-65 x -333899-379 x -57265-881 x -24635-1895 x -11453-4405 x -4927


How do I find the factor combinations of the number 21,703,435?

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 21,703,435, 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 21,703,435
-1 -21,703,435

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 21,703,435.

Example:
1 x 21,703,435 = 21,703,435
and
-1 x -21,703,435 = 21,703,435
Notice both answers equal 21,703,435

With that explanation out of the way, let's continue. Next, we take the number 21,703,435 and divide it by 2:

21,703,435 ÷ 2 = 10,851,717.5

If the quotient is a whole number, then 2 and 10,851,717.5 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 21,703,435
-1 -21,703,435

Now, we try dividing 21,703,435 by 3:

21,703,435 ÷ 3 = 7,234,478.3333

If the quotient is a whole number, then 3 and 7,234,478.3333 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 21,703,435
-1 -21,703,435

Let's try dividing by 4:

21,703,435 ÷ 4 = 5,425,858.75

If the quotient is a whole number, then 4 and 5,425,858.75 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 21,703,435
-1 21,703,435
Keep dividing by the next highest number until you cannot divide anymore.

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

1513653798811,8954,4054,92711,45324,63557,265333,8991,669,4954,340,68721,703,435
-1-5-13-65-379-881-1,895-4,405-4,927-11,453-24,635-57,265-333,899-1,669,495-4,340,687-21,703,435

More Examples

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