Q: What are the factor combinations of the number 522,775,379?

 A:
Positive:   1 x 5227753797 x 7468219741 x 12750619173 x 3021823287 x 18215171211 x 4316897093 x 7370310529 x 49651
Negative: -1 x -522775379-7 x -74682197-41 x -12750619-173 x -3021823-287 x -1821517-1211 x -431689-7093 x -73703-10529 x -49651


How do I find the factor combinations of the number 522,775,379?

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 522,775,379, 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.

1 522,775,379
-1 -522,775,379

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 522,775,379.

Example:
1 x 522,775,379 = 522,775,379
and
-1 x -522,775,379 = 522,775,379
Notice both answers equal 522,775,379

With that explanation out of the way, let's continue. Next, we take the number 522,775,379 and divide it by 2:

522,775,379 ÷ 2 = 261,387,689.5

If the quotient is a whole number, then 2 and 261,387,689.5 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:

1 522,775,379
-1 -522,775,379

Now, we try dividing 522,775,379 by 3:

522,775,379 ÷ 3 = 174,258,459.6667

If the quotient is a whole number, then 3 and 174,258,459.6667 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:

1 522,775,379
-1 -522,775,379

Let's try dividing by 4:

522,775,379 ÷ 4 = 130,693,844.75

If the quotient is a whole number, then 4 and 130,693,844.75 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:

1 522,775,379
-1 522,775,379
Keep dividing by the next highest number until you cannot divide anymore.

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

17411732871,2117,09310,52949,65173,703431,6891,821,5173,021,82312,750,61974,682,197522,775,379
-1-7-41-173-287-1,211-7,093-10,529-49,651-73,703-431,689-1,821,517-3,021,823-12,750,619-74,682,197-522,775,379

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