Q: What are the factor combinations of the number 242,402,515?

 A:
Positive:   1 x 2424025155 x 4848050397 x 2498995113 x 2145155485 x 499799565 x 4290314423 x 5480510961 x 22115
Negative: -1 x -242402515-5 x -48480503-97 x -2498995-113 x -2145155-485 x -499799-565 x -429031-4423 x -54805-10961 x -22115


How do I find the factor combinations of the number 242,402,515?

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 242,402,515, 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.

1 242,402,515
-1 -242,402,515

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 242,402,515.

Example:
1 x 242,402,515 = 242,402,515
and
-1 x -242,402,515 = 242,402,515
Notice both answers equal 242,402,515

With that explanation out of the way, let's continue. Next, we take the number 242,402,515 and divide it by 2:

242,402,515 ÷ 2 = 121,201,257.5

If the quotient is a whole number, then 2 and 121,201,257.5 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:

1 242,402,515
-1 -242,402,515

Now, we try dividing 242,402,515 by 3:

242,402,515 ÷ 3 = 80,800,838.3333

If the quotient is a whole number, then 3 and 80,800,838.3333 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:

1 242,402,515
-1 -242,402,515

Let's try dividing by 4:

242,402,515 ÷ 4 = 60,600,628.75

If the quotient is a whole number, then 4 and 60,600,628.75 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:

1 242,402,515
-1 242,402,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15971134855654,42310,96122,11554,805429,031499,7992,145,1552,498,99548,480,503242,402,515
-1-5-97-113-485-565-4,423-10,961-22,115-54,805-429,031-499,799-2,145,155-2,498,995-48,480,503-242,402,515

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