Q: What are the factor combinations of the number 242,425,105?

 A:
Positive:   1 x 2424251055 x 4848502113 x 1864808565 x 3729617443 x 5472352215 x 1094475759 x 420958419 x 28795
Negative: -1 x -242425105-5 x -48485021-13 x -18648085-65 x -3729617-443 x -547235-2215 x -109447-5759 x -42095-8419 x -28795


How do I find the factor combinations of the number 242,425,105?

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 242,425,105, 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.

1 242,425,105
-1 -242,425,105

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 242,425,105.

Example:
1 x 242,425,105 = 242,425,105
and
-1 x -242,425,105 = 242,425,105
Notice both answers equal 242,425,105

With that explanation out of the way, let's continue. Next, we take the number 242,425,105 and divide it by 2:

242,425,105 ÷ 2 = 121,212,552.5

If the quotient is a whole number, then 2 and 121,212,552.5 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:

1 242,425,105
-1 -242,425,105

Now, we try dividing 242,425,105 by 3:

242,425,105 ÷ 3 = 80,808,368.3333

If the quotient is a whole number, then 3 and 80,808,368.3333 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:

1 242,425,105
-1 -242,425,105

Let's try dividing by 4:

242,425,105 ÷ 4 = 60,606,276.25

If the quotient is a whole number, then 4 and 60,606,276.25 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:

1 242,425,105
-1 242,425,105
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654432,2155,7598,41928,79542,095109,447547,2353,729,61718,648,08548,485,021242,425,105
-1-5-13-65-443-2,215-5,759-8,419-28,795-42,095-109,447-547,235-3,729,617-18,648,085-48,485,021-242,425,105

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