Q: What are the factor combinations of the number 322,031,437?

 A:
Positive:   1 x 3220314377 x 4600449113 x 2477164919 x 1694902391 x 3538807133 x 2421289247 x 13037711729 x 186253
Negative: -1 x -322031437-7 x -46004491-13 x -24771649-19 x -16949023-91 x -3538807-133 x -2421289-247 x -1303771-1729 x -186253


How do I find the factor combinations of the number 322,031,437?

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 322,031,437, 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.

1 322,031,437
-1 -322,031,437

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 322,031,437.

Example:
1 x 322,031,437 = 322,031,437
and
-1 x -322,031,437 = 322,031,437
Notice both answers equal 322,031,437

With that explanation out of the way, let's continue. Next, we take the number 322,031,437 and divide it by 2:

322,031,437 ÷ 2 = 161,015,718.5

If the quotient is a whole number, then 2 and 161,015,718.5 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:

1 322,031,437
-1 -322,031,437

Now, we try dividing 322,031,437 by 3:

322,031,437 ÷ 3 = 107,343,812.3333

If the quotient is a whole number, then 3 and 107,343,812.3333 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:

1 322,031,437
-1 -322,031,437

Let's try dividing by 4:

322,031,437 ÷ 4 = 80,507,859.25

If the quotient is a whole number, then 4 and 80,507,859.25 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:

1 322,031,437
-1 322,031,437
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911332471,729186,2531,303,7712,421,2893,538,80716,949,02324,771,64946,004,491322,031,437
-1-7-13-19-91-133-247-1,729-186,253-1,303,771-2,421,289-3,538,807-16,949,023-24,771,649-46,004,491-322,031,437

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