Q: What are the factor combinations of the number 515,423,135?

 A:
Positive:   1 x 5154231355 x 10308462737 x 13930355185 x 2786071929 x 5548152999 x 1718654645 x 11096314995 x 34373
Negative: -1 x -515423135-5 x -103084627-37 x -13930355-185 x -2786071-929 x -554815-2999 x -171865-4645 x -110963-14995 x -34373


How do I find the factor combinations of the number 515,423,135?

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 515,423,135, 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.

1 515,423,135
-1 -515,423,135

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 515,423,135.

Example:
1 x 515,423,135 = 515,423,135
and
-1 x -515,423,135 = 515,423,135
Notice both answers equal 515,423,135

With that explanation out of the way, let's continue. Next, we take the number 515,423,135 and divide it by 2:

515,423,135 ÷ 2 = 257,711,567.5

If the quotient is a whole number, then 2 and 257,711,567.5 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:

1 515,423,135
-1 -515,423,135

Now, we try dividing 515,423,135 by 3:

515,423,135 ÷ 3 = 171,807,711.6667

If the quotient is a whole number, then 3 and 171,807,711.6667 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:

1 515,423,135
-1 -515,423,135

Let's try dividing by 4:

515,423,135 ÷ 4 = 128,855,783.75

If the quotient is a whole number, then 4 and 128,855,783.75 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:

1 515,423,135
-1 515,423,135
Keep dividing by the next highest number until you cannot divide anymore.

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

15371859292,9994,64514,99534,373110,963171,865554,8152,786,07113,930,355103,084,627515,423,135
-1-5-37-185-929-2,999-4,645-14,995-34,373-110,963-171,865-554,815-2,786,071-13,930,355-103,084,627-515,423,135

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