Q: What are the factor combinations of the number 322,143,325?

 A:
Positive:   1 x 3221433255 x 644286657 x 4602047525 x 1288573335 x 9204095175 x 1840819317 x 10162251585 x 2032452219 x 1451755807 x 554757925 x 4064911095 x 29035
Negative: -1 x -322143325-5 x -64428665-7 x -46020475-25 x -12885733-35 x -9204095-175 x -1840819-317 x -1016225-1585 x -203245-2219 x -145175-5807 x -55475-7925 x -40649-11095 x -29035


How do I find the factor combinations of the number 322,143,325?

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 322,143,325, 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.

1 322,143,325
-1 -322,143,325

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 322,143,325.

Example:
1 x 322,143,325 = 322,143,325
and
-1 x -322,143,325 = 322,143,325
Notice both answers equal 322,143,325

With that explanation out of the way, let's continue. Next, we take the number 322,143,325 and divide it by 2:

322,143,325 ÷ 2 = 161,071,662.5

If the quotient is a whole number, then 2 and 161,071,662.5 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:

1 322,143,325
-1 -322,143,325

Now, we try dividing 322,143,325 by 3:

322,143,325 ÷ 3 = 107,381,108.3333

If the quotient is a whole number, then 3 and 107,381,108.3333 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:

1 322,143,325
-1 -322,143,325

Let's try dividing by 4:

322,143,325 ÷ 4 = 80,535,831.25

If the quotient is a whole number, then 4 and 80,535,831.25 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:

1 322,143,325
-1 322,143,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351753171,5852,2195,8077,92511,09529,03540,64955,475145,175203,2451,016,2251,840,8199,204,09512,885,73346,020,47564,428,665322,143,325
-1-5-7-25-35-175-317-1,585-2,219-5,807-7,925-11,095-29,035-40,649-55,475-145,175-203,245-1,016,225-1,840,819-9,204,095-12,885,733-46,020,475-64,428,665-322,143,325

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