Q: What are the factor combinations of the number 20,510,359?

 A:
Positive:   1 x 2051035997 x 211447353 x 58103599 x 34241
Negative: -1 x -20510359-97 x -211447-353 x -58103-599 x -34241


How do I find the factor combinations of the number 20,510,359?

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 20,510,359, 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 20,510,359
-1 -20,510,359

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 20,510,359.

Example:
1 x 20,510,359 = 20,510,359
and
-1 x -20,510,359 = 20,510,359
Notice both answers equal 20,510,359

With that explanation out of the way, let's continue. Next, we take the number 20,510,359 and divide it by 2:

20,510,359 ÷ 2 = 10,255,179.5

If the quotient is a whole number, then 2 and 10,255,179.5 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 20,510,359
-1 -20,510,359

Now, we try dividing 20,510,359 by 3:

20,510,359 ÷ 3 = 6,836,786.3333

If the quotient is a whole number, then 3 and 6,836,786.3333 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 20,510,359
-1 -20,510,359

Let's try dividing by 4:

20,510,359 ÷ 4 = 5,127,589.75

If the quotient is a whole number, then 4 and 5,127,589.75 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 20,510,359
-1 20,510,359
Keep dividing by the next highest number until you cannot divide anymore.

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

19735359934,24158,103211,44720,510,359
-1-97-353-599-34,241-58,103-211,447-20,510,359

More Examples

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