Q: What are the factor combinations of the number 523,355,443?

 A:
Positive:   1 x 52335544313 x 4025811153 x 9874631127 x 4120909689 x 7595871651 x 3169935981 x 875036731 x 77753
Negative: -1 x -523355443-13 x -40258111-53 x -9874631-127 x -4120909-689 x -759587-1651 x -316993-5981 x -87503-6731 x -77753


How do I find the factor combinations of the number 523,355,443?

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 523,355,443, 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.

1 523,355,443
-1 -523,355,443

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 523,355,443.

Example:
1 x 523,355,443 = 523,355,443
and
-1 x -523,355,443 = 523,355,443
Notice both answers equal 523,355,443

With that explanation out of the way, let's continue. Next, we take the number 523,355,443 and divide it by 2:

523,355,443 ÷ 2 = 261,677,721.5

If the quotient is a whole number, then 2 and 261,677,721.5 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:

1 523,355,443
-1 -523,355,443

Now, we try dividing 523,355,443 by 3:

523,355,443 ÷ 3 = 174,451,814.3333

If the quotient is a whole number, then 3 and 174,451,814.3333 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:

1 523,355,443
-1 -523,355,443

Let's try dividing by 4:

523,355,443 ÷ 4 = 130,838,860.75

If the quotient is a whole number, then 4 and 130,838,860.75 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:

1 523,355,443
-1 523,355,443
Keep dividing by the next highest number until you cannot divide anymore.

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

113531276891,6515,9816,73177,75387,503316,993759,5874,120,9099,874,63140,258,111523,355,443
-1-13-53-127-689-1,651-5,981-6,731-77,753-87,503-316,993-759,587-4,120,909-9,874,631-40,258,111-523,355,443

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