Q: What are the factor combinations of the number 522,704,357?

 A:
Positive:   1 x 5227043577 x 74672051139 x 3760463389 x 1343713973 x 5372091381 x 3784972723 x 1919599667 x 54071
Negative: -1 x -522704357-7 x -74672051-139 x -3760463-389 x -1343713-973 x -537209-1381 x -378497-2723 x -191959-9667 x -54071


How do I find the factor combinations of the number 522,704,357?

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 522,704,357, 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.

1 522,704,357
-1 -522,704,357

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 522,704,357.

Example:
1 x 522,704,357 = 522,704,357
and
-1 x -522,704,357 = 522,704,357
Notice both answers equal 522,704,357

With that explanation out of the way, let's continue. Next, we take the number 522,704,357 and divide it by 2:

522,704,357 ÷ 2 = 261,352,178.5

If the quotient is a whole number, then 2 and 261,352,178.5 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:

1 522,704,357
-1 -522,704,357

Now, we try dividing 522,704,357 by 3:

522,704,357 ÷ 3 = 174,234,785.6667

If the quotient is a whole number, then 3 and 174,234,785.6667 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:

1 522,704,357
-1 -522,704,357

Let's try dividing by 4:

522,704,357 ÷ 4 = 130,676,089.25

If the quotient is a whole number, then 4 and 130,676,089.25 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:

1 522,704,357
-1 522,704,357
Keep dividing by the next highest number until you cannot divide anymore.

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

171393899731,3812,7239,66754,071191,959378,497537,2091,343,7133,760,46374,672,051522,704,357
-1-7-139-389-973-1,381-2,723-9,667-54,071-191,959-378,497-537,209-1,343,713-3,760,463-74,672,051-522,704,357

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