Q: What are the factor combinations of the number 20,304,235?

 A:
Positive:   1 x 203042355 x 40608477 x 290060535 x 58012147 x 432005235 x 86401329 x 617151645 x 12343
Negative: -1 x -20304235-5 x -4060847-7 x -2900605-35 x -580121-47 x -432005-235 x -86401-329 x -61715-1645 x -12343


How do I find the factor combinations of the number 20,304,235?

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 20,304,235, 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 20,304,235
-1 -20,304,235

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 20,304,235.

Example:
1 x 20,304,235 = 20,304,235
and
-1 x -20,304,235 = 20,304,235
Notice both answers equal 20,304,235

With that explanation out of the way, let's continue. Next, we take the number 20,304,235 and divide it by 2:

20,304,235 ÷ 2 = 10,152,117.5

If the quotient is a whole number, then 2 and 10,152,117.5 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 20,304,235
-1 -20,304,235

Now, we try dividing 20,304,235 by 3:

20,304,235 ÷ 3 = 6,768,078.3333

If the quotient is a whole number, then 3 and 6,768,078.3333 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 20,304,235
-1 -20,304,235

Let's try dividing by 4:

20,304,235 ÷ 4 = 5,076,058.75

If the quotient is a whole number, then 4 and 5,076,058.75 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 20,304,235
-1 20,304,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,64512,34361,71586,401432,005580,1212,900,6054,060,84720,304,235
-1-5-7-35-47-235-329-1,645-12,343-61,715-86,401-432,005-580,121-2,900,605-4,060,847-20,304,235

More Examples

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