Q: What are the factor combinations of the number 243,044,515?

 A:
Positive:   1 x 2430445155 x 486089037 x 3472064535 x 694412941 x 5927915205 x 1185583287 x 8468451435 x 169369
Negative: -1 x -243044515-5 x -48608903-7 x -34720645-35 x -6944129-41 x -5927915-205 x -1185583-287 x -846845-1435 x -169369


How do I find the factor combinations of the number 243,044,515?

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 243,044,515, 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.

1 243,044,515
-1 -243,044,515

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 243,044,515.

Example:
1 x 243,044,515 = 243,044,515
and
-1 x -243,044,515 = 243,044,515
Notice both answers equal 243,044,515

With that explanation out of the way, let's continue. Next, we take the number 243,044,515 and divide it by 2:

243,044,515 ÷ 2 = 121,522,257.5

If the quotient is a whole number, then 2 and 121,522,257.5 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:

1 243,044,515
-1 -243,044,515

Now, we try dividing 243,044,515 by 3:

243,044,515 ÷ 3 = 81,014,838.3333

If the quotient is a whole number, then 3 and 81,014,838.3333 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:

1 243,044,515
-1 -243,044,515

Let's try dividing by 4:

243,044,515 ÷ 4 = 60,761,128.75

If the quotient is a whole number, then 4 and 60,761,128.75 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:

1 243,044,515
-1 243,044,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15735412052871,435169,369846,8451,185,5835,927,9156,944,12934,720,64548,608,903243,044,515
-1-5-7-35-41-205-287-1,435-169,369-846,845-1,185,583-5,927,915-6,944,129-34,720,645-48,608,903-243,044,515

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