Q: What are the factor combinations of the number 524,125,115?

 A:
Positive:   1 x 5241251155 x 10482502361 x 8592215305 x 17184431151 x 4553651493 x 3510555755 x 910737465 x 70211
Negative: -1 x -524125115-5 x -104825023-61 x -8592215-305 x -1718443-1151 x -455365-1493 x -351055-5755 x -91073-7465 x -70211


How do I find the factor combinations of the number 524,125,115?

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 524,125,115, 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.

1 524,125,115
-1 -524,125,115

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 524,125,115.

Example:
1 x 524,125,115 = 524,125,115
and
-1 x -524,125,115 = 524,125,115
Notice both answers equal 524,125,115

With that explanation out of the way, let's continue. Next, we take the number 524,125,115 and divide it by 2:

524,125,115 ÷ 2 = 262,062,557.5

If the quotient is a whole number, then 2 and 262,062,557.5 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:

1 524,125,115
-1 -524,125,115

Now, we try dividing 524,125,115 by 3:

524,125,115 ÷ 3 = 174,708,371.6667

If the quotient is a whole number, then 3 and 174,708,371.6667 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:

1 524,125,115
-1 -524,125,115

Let's try dividing by 4:

524,125,115 ÷ 4 = 131,031,278.75

If the quotient is a whole number, then 4 and 131,031,278.75 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:

1 524,125,115
-1 524,125,115
Keep dividing by the next highest number until you cannot divide anymore.

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

15613051,1511,4935,7557,46570,21191,073351,055455,3651,718,4438,592,215104,825,023524,125,115
-1-5-61-305-1,151-1,493-5,755-7,465-70,211-91,073-351,055-455,365-1,718,443-8,592,215-104,825,023-524,125,115

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