Q: What are the factor combinations of the number 20,452,405?

 A:
Positive:   1 x 204524055 x 409048123 x 88923531 x 659755115 x 177847155 x 131951713 x 286853565 x 5737
Negative: -1 x -20452405-5 x -4090481-23 x -889235-31 x -659755-115 x -177847-155 x -131951-713 x -28685-3565 x -5737


How do I find the factor combinations of the number 20,452,405?

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 20,452,405, 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 20,452,405
-1 -20,452,405

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 20,452,405.

Example:
1 x 20,452,405 = 20,452,405
and
-1 x -20,452,405 = 20,452,405
Notice both answers equal 20,452,405

With that explanation out of the way, let's continue. Next, we take the number 20,452,405 and divide it by 2:

20,452,405 ÷ 2 = 10,226,202.5

If the quotient is a whole number, then 2 and 10,226,202.5 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 20,452,405
-1 -20,452,405

Now, we try dividing 20,452,405 by 3:

20,452,405 ÷ 3 = 6,817,468.3333

If the quotient is a whole number, then 3 and 6,817,468.3333 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 20,452,405
-1 -20,452,405

Let's try dividing by 4:

20,452,405 ÷ 4 = 5,113,101.25

If the quotient is a whole number, then 4 and 5,113,101.25 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 20,452,405
-1 20,452,405
Keep dividing by the next highest number until you cannot divide anymore.

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

1523311151557133,5655,73728,685131,951177,847659,755889,2354,090,48120,452,405
-1-5-23-31-115-155-713-3,565-5,737-28,685-131,951-177,847-659,755-889,235-4,090,481-20,452,405

More Examples

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