Q: What are the factor combinations of the number 242,404,415?

 A:
Positive:   1 x 2424044155 x 4848088311 x 2203676555 x 4407353313 x 7744551565 x 1548913443 x 7040514081 x 17215
Negative: -1 x -242404415-5 x -48480883-11 x -22036765-55 x -4407353-313 x -774455-1565 x -154891-3443 x -70405-14081 x -17215


How do I find the factor combinations of the number 242,404,415?

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 242,404,415, 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.

1 242,404,415
-1 -242,404,415

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 242,404,415.

Example:
1 x 242,404,415 = 242,404,415
and
-1 x -242,404,415 = 242,404,415
Notice both answers equal 242,404,415

With that explanation out of the way, let's continue. Next, we take the number 242,404,415 and divide it by 2:

242,404,415 ÷ 2 = 121,202,207.5

If the quotient is a whole number, then 2 and 121,202,207.5 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:

1 242,404,415
-1 -242,404,415

Now, we try dividing 242,404,415 by 3:

242,404,415 ÷ 3 = 80,801,471.6667

If the quotient is a whole number, then 3 and 80,801,471.6667 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:

1 242,404,415
-1 -242,404,415

Let's try dividing by 4:

242,404,415 ÷ 4 = 60,601,103.75

If the quotient is a whole number, then 4 and 60,601,103.75 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:

1 242,404,415
-1 242,404,415
Keep dividing by the next highest number until you cannot divide anymore.

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

1511553131,5653,44314,08117,21570,405154,891774,4554,407,35322,036,76548,480,883242,404,415
-1-5-11-55-313-1,565-3,443-14,081-17,215-70,405-154,891-774,455-4,407,353-22,036,765-48,480,883-242,404,415

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