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

 A:
Positive:   1 x 2425155 x 485037 x 3464513 x 1865535 x 692941 x 591565 x 373191 x 2665169 x 1435205 x 1183287 x 845455 x 533
Negative: -1 x -242515-5 x -48503-7 x -34645-13 x -18655-35 x -6929-41 x -5915-65 x -3731-91 x -2665-169 x -1435-205 x -1183-287 x -845-455 x -533


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

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 242,515, 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.

1 242,515
-1 -242,515

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 242,515.

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

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

242,515 ÷ 2 = 121,257.5

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

1 242,515
-1 -242,515

Now, we try dividing 242,515 by 3:

242,515 ÷ 3 = 80,838.3333

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

1 242,515
-1 -242,515

Let's try dividing by 4:

242,515 ÷ 4 = 60,628.75

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

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

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

15713354165911692052874555338451,1831,4352,6653,7315,9156,92918,65534,64548,503242,515
-1-5-7-13-35-41-65-91-169-205-287-455-533-845-1,183-1,435-2,665-3,731-5,915-6,929-18,655-34,645-48,503-242,515

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