Q: What are the factor combinations of the number 520,975?

 A:
Positive:   1 x 5209755 x 1041957 x 7442513 x 4007525 x 2083935 x 1488565 x 801591 x 5725175 x 2977229 x 2275325 x 1603455 x 1145
Negative: -1 x -520975-5 x -104195-7 x -74425-13 x -40075-25 x -20839-35 x -14885-65 x -8015-91 x -5725-175 x -2977-229 x -2275-325 x -1603-455 x -1145


How do I find the factor combinations of the number 520,975?

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 520,975, 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.

1 520,975
-1 -520,975

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 520,975.

Example:
1 x 520,975 = 520,975
and
-1 x -520,975 = 520,975
Notice both answers equal 520,975

With that explanation out of the way, let's continue. Next, we take the number 520,975 and divide it by 2:

520,975 ÷ 2 = 260,487.5

If the quotient is a whole number, then 2 and 260,487.5 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:

1 520,975
-1 -520,975

Now, we try dividing 520,975 by 3:

520,975 ÷ 3 = 173,658.3333

If the quotient is a whole number, then 3 and 173,658.3333 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:

1 520,975
-1 -520,975

Let's try dividing by 4:

520,975 ÷ 4 = 130,243.75

If the quotient is a whole number, then 4 and 130,243.75 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:

1 520,975
-1 520,975
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911752293254551,1451,6032,2752,9775,7258,01514,88520,83940,07574,425104,195520,975
-1-5-7-13-25-35-65-91-175-229-325-455-1,145-1,603-2,275-2,977-5,725-8,015-14,885-20,839-40,075-74,425-104,195-520,975

More Examples

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