Q: What are the factor combinations of the number 355,260,325?

 A:
Positive:   1 x 3552603255 x 710520657 x 5075147525 x 1421041335 x 1015029553 x 6703025175 x 2030059265 x 1340605371 x 9575751325 x 2681211855 x 1915159275 x 38303
Negative: -1 x -355260325-5 x -71052065-7 x -50751475-25 x -14210413-35 x -10150295-53 x -6703025-175 x -2030059-265 x -1340605-371 x -957575-1325 x -268121-1855 x -191515-9275 x -38303


How do I find the factor combinations of the number 355,260,325?

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 355,260,325, 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.

1 355,260,325
-1 -355,260,325

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 355,260,325.

Example:
1 x 355,260,325 = 355,260,325
and
-1 x -355,260,325 = 355,260,325
Notice both answers equal 355,260,325

With that explanation out of the way, let's continue. Next, we take the number 355,260,325 and divide it by 2:

355,260,325 ÷ 2 = 177,630,162.5

If the quotient is a whole number, then 2 and 177,630,162.5 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:

1 355,260,325
-1 -355,260,325

Now, we try dividing 355,260,325 by 3:

355,260,325 ÷ 3 = 118,420,108.3333

If the quotient is a whole number, then 3 and 118,420,108.3333 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:

1 355,260,325
-1 -355,260,325

Let's try dividing by 4:

355,260,325 ÷ 4 = 88,815,081.25

If the quotient is a whole number, then 4 and 88,815,081.25 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:

1 355,260,325
-1 355,260,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535531752653711,3251,8559,27538,303191,515268,121957,5751,340,6052,030,0596,703,02510,150,29514,210,41350,751,47571,052,065355,260,325
-1-5-7-25-35-53-175-265-371-1,325-1,855-9,275-38,303-191,515-268,121-957,575-1,340,605-2,030,059-6,703,025-10,150,295-14,210,413-50,751,475-71,052,065-355,260,325

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