Q: What are the factor combinations of the number 520,120,043?

 A:
Positive:   1 x 5201200434051 x 128393
Negative: -1 x -520120043-4051 x -128393


How do I find the factor combinations of the number 520,120,043?

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 520,120,043, 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.

1 520,120,043
-1 -520,120,043

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 520,120,043.

Example:
1 x 520,120,043 = 520,120,043
and
-1 x -520,120,043 = 520,120,043
Notice both answers equal 520,120,043

With that explanation out of the way, let's continue. Next, we take the number 520,120,043 and divide it by 2:

520,120,043 ÷ 2 = 260,060,021.5

If the quotient is a whole number, then 2 and 260,060,021.5 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:

1 520,120,043
-1 -520,120,043

Now, we try dividing 520,120,043 by 3:

520,120,043 ÷ 3 = 173,373,347.6667

If the quotient is a whole number, then 3 and 173,373,347.6667 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:

1 520,120,043
-1 -520,120,043

Let's try dividing by 4:

520,120,043 ÷ 4 = 130,030,010.75

If the quotient is a whole number, then 4 and 130,030,010.75 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:

1 520,120,043
-1 520,120,043
Keep dividing by the next highest number until you cannot divide anymore.

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

14,051128,393520,120,043
-1-4,051-128,393-520,120,043

More Examples

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