Q: What are the factor combinations of the number 520,162,447?

 A:
Positive:   1 x 5201624477 x 7430892117 x 30597791119 x 4371113317 x 16408912219 x 2344135389 x 9652313789 x 37723
Negative: -1 x -520162447-7 x -74308921-17 x -30597791-119 x -4371113-317 x -1640891-2219 x -234413-5389 x -96523-13789 x -37723


How do I find the factor combinations of the number 520,162,447?

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 520,162,447, 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.

1 520,162,447
-1 -520,162,447

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 520,162,447.

Example:
1 x 520,162,447 = 520,162,447
and
-1 x -520,162,447 = 520,162,447
Notice both answers equal 520,162,447

With that explanation out of the way, let's continue. Next, we take the number 520,162,447 and divide it by 2:

520,162,447 ÷ 2 = 260,081,223.5

If the quotient is a whole number, then 2 and 260,081,223.5 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:

1 520,162,447
-1 -520,162,447

Now, we try dividing 520,162,447 by 3:

520,162,447 ÷ 3 = 173,387,482.3333

If the quotient is a whole number, then 3 and 173,387,482.3333 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:

1 520,162,447
-1 -520,162,447

Let's try dividing by 4:

520,162,447 ÷ 4 = 130,040,611.75

If the quotient is a whole number, then 4 and 130,040,611.75 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:

1 520,162,447
-1 520,162,447
Keep dividing by the next highest number until you cannot divide anymore.

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

17171193172,2195,38913,78937,72396,523234,4131,640,8914,371,11330,597,79174,308,921520,162,447
-1-7-17-119-317-2,219-5,389-13,789-37,723-96,523-234,413-1,640,891-4,371,113-30,597,791-74,308,921-520,162,447

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