Q: What are the factor combinations of the number 242,176,433?

 A:
Positive:   1 x 24217643331 x 781214337 x 6545309199 x 12169671061 x 2282531147 x 2111396169 x 392577363 x 32891
Negative: -1 x -242176433-31 x -7812143-37 x -6545309-199 x -1216967-1061 x -228253-1147 x -211139-6169 x -39257-7363 x -32891


How do I find the factor combinations of the number 242,176,433?

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 242,176,433, 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.

1 242,176,433
-1 -242,176,433

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 242,176,433.

Example:
1 x 242,176,433 = 242,176,433
and
-1 x -242,176,433 = 242,176,433
Notice both answers equal 242,176,433

With that explanation out of the way, let's continue. Next, we take the number 242,176,433 and divide it by 2:

242,176,433 ÷ 2 = 121,088,216.5

If the quotient is a whole number, then 2 and 121,088,216.5 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:

1 242,176,433
-1 -242,176,433

Now, we try dividing 242,176,433 by 3:

242,176,433 ÷ 3 = 80,725,477.6667

If the quotient is a whole number, then 3 and 80,725,477.6667 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:

1 242,176,433
-1 -242,176,433

Let's try dividing by 4:

242,176,433 ÷ 4 = 60,544,108.25

If the quotient is a whole number, then 4 and 60,544,108.25 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:

1 242,176,433
-1 242,176,433
Keep dividing by the next highest number until you cannot divide anymore.

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

131371991,0611,1476,1697,36332,89139,257211,139228,2531,216,9676,545,3097,812,143242,176,433
-1-31-37-199-1,061-1,147-6,169-7,363-32,891-39,257-211,139-228,253-1,216,967-6,545,309-7,812,143-242,176,433

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