Q: What are the factor combinations of the number 242,545,235?

 A:
Positive:   1 x 2425452355 x 4850904723 x 10545445115 x 2109089127 x 1909805635 x 3819612921 x 8303514605 x 16607
Negative: -1 x -242545235-5 x -48509047-23 x -10545445-115 x -2109089-127 x -1909805-635 x -381961-2921 x -83035-14605 x -16607


How do I find the factor combinations of the number 242,545,235?

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 242,545,235, 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.

1 242,545,235
-1 -242,545,235

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 242,545,235.

Example:
1 x 242,545,235 = 242,545,235
and
-1 x -242,545,235 = 242,545,235
Notice both answers equal 242,545,235

With that explanation out of the way, let's continue. Next, we take the number 242,545,235 and divide it by 2:

242,545,235 ÷ 2 = 121,272,617.5

If the quotient is a whole number, then 2 and 121,272,617.5 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:

1 242,545,235
-1 -242,545,235

Now, we try dividing 242,545,235 by 3:

242,545,235 ÷ 3 = 80,848,411.6667

If the quotient is a whole number, then 3 and 80,848,411.6667 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:

1 242,545,235
-1 -242,545,235

Let's try dividing by 4:

242,545,235 ÷ 4 = 60,636,308.75

If the quotient is a whole number, then 4 and 60,636,308.75 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:

1 242,545,235
-1 242,545,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15231151276352,92114,60516,60783,035381,9611,909,8052,109,08910,545,44548,509,047242,545,235
-1-5-23-115-127-635-2,921-14,605-16,607-83,035-381,961-1,909,805-2,109,089-10,545,445-48,509,047-242,545,235

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