Q: What are the factor combinations of the number 424,002,055?

 A:
Positive:   1 x 4240020555 x 8480041137 x 11459515185 x 2291903
Negative: -1 x -424002055-5 x -84800411-37 x -11459515-185 x -2291903


How do I find the factor combinations of the number 424,002,055?

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 424,002,055, 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.

1 424,002,055
-1 -424,002,055

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 424,002,055.

Example:
1 x 424,002,055 = 424,002,055
and
-1 x -424,002,055 = 424,002,055
Notice both answers equal 424,002,055

With that explanation out of the way, let's continue. Next, we take the number 424,002,055 and divide it by 2:

424,002,055 ÷ 2 = 212,001,027.5

If the quotient is a whole number, then 2 and 212,001,027.5 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:

1 424,002,055
-1 -424,002,055

Now, we try dividing 424,002,055 by 3:

424,002,055 ÷ 3 = 141,334,018.3333

If the quotient is a whole number, then 3 and 141,334,018.3333 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:

1 424,002,055
-1 -424,002,055

Let's try dividing by 4:

424,002,055 ÷ 4 = 106,000,513.75

If the quotient is a whole number, then 4 and 106,000,513.75 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:

1 424,002,055
-1 424,002,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852,291,90311,459,51584,800,411424,002,055
-1-5-37-185-2,291,903-11,459,515-84,800,411-424,002,055

More Examples

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