Q: What are the factor combinations of the number 522,224,207?

 A:
Positive:   1 x 52222420717 x 3071907143 x 1214474979 x 6610433731 x 7143971343 x 3888493397 x 1537319043 x 57749
Negative: -1 x -522224207-17 x -30719071-43 x -12144749-79 x -6610433-731 x -714397-1343 x -388849-3397 x -153731-9043 x -57749


How do I find the factor combinations of the number 522,224,207?

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 522,224,207, 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.

1 522,224,207
-1 -522,224,207

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 522,224,207.

Example:
1 x 522,224,207 = 522,224,207
and
-1 x -522,224,207 = 522,224,207
Notice both answers equal 522,224,207

With that explanation out of the way, let's continue. Next, we take the number 522,224,207 and divide it by 2:

522,224,207 ÷ 2 = 261,112,103.5

If the quotient is a whole number, then 2 and 261,112,103.5 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:

1 522,224,207
-1 -522,224,207

Now, we try dividing 522,224,207 by 3:

522,224,207 ÷ 3 = 174,074,735.6667

If the quotient is a whole number, then 3 and 174,074,735.6667 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:

1 522,224,207
-1 -522,224,207

Let's try dividing by 4:

522,224,207 ÷ 4 = 130,556,051.75

If the quotient is a whole number, then 4 and 130,556,051.75 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:

1 522,224,207
-1 522,224,207
Keep dividing by the next highest number until you cannot divide anymore.

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

11743797311,3433,3979,04357,749153,731388,849714,3976,610,43312,144,74930,719,071522,224,207
-1-17-43-79-731-1,343-3,397-9,043-57,749-153,731-388,849-714,397-6,610,433-12,144,749-30,719,071-522,224,207

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