Q: What are the factor combinations of the number 242,344,031?

 A:
Positive:   1 x 24234403119 x 1275494923 x 10536697353 x 686527437 x 5545631571 x 1542616707 x 361338119 x 29849
Negative: -1 x -242344031-19 x -12754949-23 x -10536697-353 x -686527-437 x -554563-1571 x -154261-6707 x -36133-8119 x -29849


How do I find the factor combinations of the number 242,344,031?

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 242,344,031, 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.

1 242,344,031
-1 -242,344,031

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 242,344,031.

Example:
1 x 242,344,031 = 242,344,031
and
-1 x -242,344,031 = 242,344,031
Notice both answers equal 242,344,031

With that explanation out of the way, let's continue. Next, we take the number 242,344,031 and divide it by 2:

242,344,031 ÷ 2 = 121,172,015.5

If the quotient is a whole number, then 2 and 121,172,015.5 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:

1 242,344,031
-1 -242,344,031

Now, we try dividing 242,344,031 by 3:

242,344,031 ÷ 3 = 80,781,343.6667

If the quotient is a whole number, then 3 and 80,781,343.6667 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:

1 242,344,031
-1 -242,344,031

Let's try dividing by 4:

242,344,031 ÷ 4 = 60,586,007.75

If the quotient is a whole number, then 4 and 60,586,007.75 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:

1 242,344,031
-1 242,344,031
Keep dividing by the next highest number until you cannot divide anymore.

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

119233534371,5716,7078,11929,84936,133154,261554,563686,52710,536,69712,754,949242,344,031
-1-19-23-353-437-1,571-6,707-8,119-29,849-36,133-154,261-554,563-686,527-10,536,697-12,754,949-242,344,031

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