Q: What are the factor combinations of the number 20,025,155?

 A:
Positive:   1 x 200251555 x 4005031383 x 522851915 x 10457
Negative: -1 x -20025155-5 x -4005031-383 x -52285-1915 x -10457


How do I find the factor combinations of the number 20,025,155?

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 20,025,155, 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 20,025,155
-1 -20,025,155

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 20,025,155.

Example:
1 x 20,025,155 = 20,025,155
and
-1 x -20,025,155 = 20,025,155
Notice both answers equal 20,025,155

With that explanation out of the way, let's continue. Next, we take the number 20,025,155 and divide it by 2:

20,025,155 ÷ 2 = 10,012,577.5

If the quotient is a whole number, then 2 and 10,012,577.5 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 20,025,155
-1 -20,025,155

Now, we try dividing 20,025,155 by 3:

20,025,155 ÷ 3 = 6,675,051.6667

If the quotient is a whole number, then 3 and 6,675,051.6667 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 20,025,155
-1 -20,025,155

Let's try dividing by 4:

20,025,155 ÷ 4 = 5,006,288.75

If the quotient is a whole number, then 4 and 5,006,288.75 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 20,025,155
-1 20,025,155
Keep dividing by the next highest number until you cannot divide anymore.

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

153831,91510,45752,2854,005,03120,025,155
-1-5-383-1,915-10,457-52,285-4,005,031-20,025,155

More Examples

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