Q: What are the factor combinations of the number 20,414,885?

 A:
Positive:   1 x 204148855 x 408297759 x 346015295 x 69203
Negative: -1 x -20414885-5 x -4082977-59 x -346015-295 x -69203


How do I find the factor combinations of the number 20,414,885?

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 20,414,885, 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 20,414,885
-1 -20,414,885

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 20,414,885.

Example:
1 x 20,414,885 = 20,414,885
and
-1 x -20,414,885 = 20,414,885
Notice both answers equal 20,414,885

With that explanation out of the way, let's continue. Next, we take the number 20,414,885 and divide it by 2:

20,414,885 ÷ 2 = 10,207,442.5

If the quotient is a whole number, then 2 and 10,207,442.5 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 20,414,885
-1 -20,414,885

Now, we try dividing 20,414,885 by 3:

20,414,885 ÷ 3 = 6,804,961.6667

If the quotient is a whole number, then 3 and 6,804,961.6667 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 20,414,885
-1 -20,414,885

Let's try dividing by 4:

20,414,885 ÷ 4 = 5,103,721.25

If the quotient is a whole number, then 4 and 5,103,721.25 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 20,414,885
-1 20,414,885
Keep dividing by the next highest number until you cannot divide anymore.

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

155929569,203346,0154,082,97720,414,885
-1-5-59-295-69,203-346,015-4,082,977-20,414,885

More Examples

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