Q: What are the factor combinations of the number 515,416,043?

 A:
Positive:   1 x 51541604329 x 1777296741 x 1257112353 x 97248311189 x 4334871537 x 3353392173 x 2371918179 x 63017
Negative: -1 x -515416043-29 x -17772967-41 x -12571123-53 x -9724831-1189 x -433487-1537 x -335339-2173 x -237191-8179 x -63017


How do I find the factor combinations of the number 515,416,043?

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 515,416,043, 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.

1 515,416,043
-1 -515,416,043

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 515,416,043.

Example:
1 x 515,416,043 = 515,416,043
and
-1 x -515,416,043 = 515,416,043
Notice both answers equal 515,416,043

With that explanation out of the way, let's continue. Next, we take the number 515,416,043 and divide it by 2:

515,416,043 ÷ 2 = 257,708,021.5

If the quotient is a whole number, then 2 and 257,708,021.5 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:

1 515,416,043
-1 -515,416,043

Now, we try dividing 515,416,043 by 3:

515,416,043 ÷ 3 = 171,805,347.6667

If the quotient is a whole number, then 3 and 171,805,347.6667 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:

1 515,416,043
-1 -515,416,043

Let's try dividing by 4:

515,416,043 ÷ 4 = 128,854,010.75

If the quotient is a whole number, then 4 and 128,854,010.75 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:

1 515,416,043
-1 515,416,043
Keep dividing by the next highest number until you cannot divide anymore.

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

12941531,1891,5372,1738,17963,017237,191335,339433,4879,724,83112,571,12317,772,967515,416,043
-1-29-41-53-1,189-1,537-2,173-8,179-63,017-237,191-335,339-433,487-9,724,831-12,571,123-17,772,967-515,416,043

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