Q: What are the factor combinations of the number 20,000,351?

 A:
Positive:   1 x 200003517 x 285719359 x 33898979 x 253169413 x 48427553 x 36167613 x 326274291 x 4661
Negative: -1 x -20000351-7 x -2857193-59 x -338989-79 x -253169-413 x -48427-553 x -36167-613 x -32627-4291 x -4661


How do I find the factor combinations of the number 20,000,351?

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 20,000,351, 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 20,000,351
-1 -20,000,351

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 20,000,351.

Example:
1 x 20,000,351 = 20,000,351
and
-1 x -20,000,351 = 20,000,351
Notice both answers equal 20,000,351

With that explanation out of the way, let's continue. Next, we take the number 20,000,351 and divide it by 2:

20,000,351 ÷ 2 = 10,000,175.5

If the quotient is a whole number, then 2 and 10,000,175.5 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 20,000,351
-1 -20,000,351

Now, we try dividing 20,000,351 by 3:

20,000,351 ÷ 3 = 6,666,783.6667

If the quotient is a whole number, then 3 and 6,666,783.6667 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 20,000,351
-1 -20,000,351

Let's try dividing by 4:

20,000,351 ÷ 4 = 5,000,087.75

If the quotient is a whole number, then 4 and 5,000,087.75 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 20,000,351
-1 20,000,351
Keep dividing by the next highest number until you cannot divide anymore.

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

1759794135536134,2914,66132,62736,16748,427253,169338,9892,857,19320,000,351
-1-7-59-79-413-553-613-4,291-4,661-32,627-36,167-48,427-253,169-338,989-2,857,193-20,000,351

More Examples

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