Q: What are the factor combinations of the number 242,431,441?

 A:
Positive:   1 x 2424314417 x 3463306317 x 14260673119 x 2037239257 x 9433131799 x 1347594369 x 554897927 x 30583
Negative: -1 x -242431441-7 x -34633063-17 x -14260673-119 x -2037239-257 x -943313-1799 x -134759-4369 x -55489-7927 x -30583


How do I find the factor combinations of the number 242,431,441?

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 242,431,441, 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.

1 242,431,441
-1 -242,431,441

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 242,431,441.

Example:
1 x 242,431,441 = 242,431,441
and
-1 x -242,431,441 = 242,431,441
Notice both answers equal 242,431,441

With that explanation out of the way, let's continue. Next, we take the number 242,431,441 and divide it by 2:

242,431,441 ÷ 2 = 121,215,720.5

If the quotient is a whole number, then 2 and 121,215,720.5 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:

1 242,431,441
-1 -242,431,441

Now, we try dividing 242,431,441 by 3:

242,431,441 ÷ 3 = 80,810,480.3333

If the quotient is a whole number, then 3 and 80,810,480.3333 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:

1 242,431,441
-1 -242,431,441

Let's try dividing by 4:

242,431,441 ÷ 4 = 60,607,860.25

If the quotient is a whole number, then 4 and 60,607,860.25 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:

1 242,431,441
-1 242,431,441
Keep dividing by the next highest number until you cannot divide anymore.

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

17171192571,7994,3697,92730,58355,489134,759943,3132,037,23914,260,67334,633,063242,431,441
-1-7-17-119-257-1,799-4,369-7,927-30,583-55,489-134,759-943,313-2,037,239-14,260,673-34,633,063-242,431,441

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