Q: What are the factor combinations of the number 515,654,015?

 A:
Positive:   1 x 5156540155 x 10313080319 x 2713968537 x 1393659595 x 5427937185 x 2787319703 x 7335053515 x 146701
Negative: -1 x -515654015-5 x -103130803-19 x -27139685-37 x -13936595-95 x -5427937-185 x -2787319-703 x -733505-3515 x -146701


How do I find the factor combinations of the number 515,654,015?

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 515,654,015, 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.

1 515,654,015
-1 -515,654,015

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 515,654,015.

Example:
1 x 515,654,015 = 515,654,015
and
-1 x -515,654,015 = 515,654,015
Notice both answers equal 515,654,015

With that explanation out of the way, let's continue. Next, we take the number 515,654,015 and divide it by 2:

515,654,015 ÷ 2 = 257,827,007.5

If the quotient is a whole number, then 2 and 257,827,007.5 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:

1 515,654,015
-1 -515,654,015

Now, we try dividing 515,654,015 by 3:

515,654,015 ÷ 3 = 171,884,671.6667

If the quotient is a whole number, then 3 and 171,884,671.6667 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:

1 515,654,015
-1 -515,654,015

Let's try dividing by 4:

515,654,015 ÷ 4 = 128,913,503.75

If the quotient is a whole number, then 4 and 128,913,503.75 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:

1 515,654,015
-1 515,654,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151937951857033,515146,701733,5052,787,3195,427,93713,936,59527,139,685103,130,803515,654,015
-1-5-19-37-95-185-703-3,515-146,701-733,505-2,787,319-5,427,937-13,936,595-27,139,685-103,130,803-515,654,015

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