Q: What are the factor combinations of the number 520,540,265?

 A:
Positive:   1 x 5205402655 x 1041080537 x 7436289535 x 148725791871 x 2782157949 x 654859355 x 5564313097 x 39745
Negative: -1 x -520540265-5 x -104108053-7 x -74362895-35 x -14872579-1871 x -278215-7949 x -65485-9355 x -55643-13097 x -39745


How do I find the factor combinations of the number 520,540,265?

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 520,540,265, 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.

1 520,540,265
-1 -520,540,265

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 520,540,265.

Example:
1 x 520,540,265 = 520,540,265
and
-1 x -520,540,265 = 520,540,265
Notice both answers equal 520,540,265

With that explanation out of the way, let's continue. Next, we take the number 520,540,265 and divide it by 2:

520,540,265 ÷ 2 = 260,270,132.5

If the quotient is a whole number, then 2 and 260,270,132.5 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:

1 520,540,265
-1 -520,540,265

Now, we try dividing 520,540,265 by 3:

520,540,265 ÷ 3 = 173,513,421.6667

If the quotient is a whole number, then 3 and 173,513,421.6667 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:

1 520,540,265
-1 -520,540,265

Let's try dividing by 4:

520,540,265 ÷ 4 = 130,135,066.25

If the quotient is a whole number, then 4 and 130,135,066.25 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:

1 520,540,265
-1 520,540,265
Keep dividing by the next highest number until you cannot divide anymore.

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

157351,8717,9499,35513,09739,74555,64365,485278,21514,872,57974,362,895104,108,053520,540,265
-1-5-7-35-1,871-7,949-9,355-13,097-39,745-55,643-65,485-278,215-14,872,579-74,362,895-104,108,053-520,540,265

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