Q: What are the factor combinations of the number 353,025,055?

 A:
Positive:   1 x 3530250555 x 7060501131 x 1138790543 x 8209885155 x 2277581215 x 16419771333 x 2648356665 x 52967
Negative: -1 x -353025055-5 x -70605011-31 x -11387905-43 x -8209885-155 x -2277581-215 x -1641977-1333 x -264835-6665 x -52967


How do I find the factor combinations of the number 353,025,055?

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 353,025,055, 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.

1 353,025,055
-1 -353,025,055

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 353,025,055.

Example:
1 x 353,025,055 = 353,025,055
and
-1 x -353,025,055 = 353,025,055
Notice both answers equal 353,025,055

With that explanation out of the way, let's continue. Next, we take the number 353,025,055 and divide it by 2:

353,025,055 ÷ 2 = 176,512,527.5

If the quotient is a whole number, then 2 and 176,512,527.5 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:

1 353,025,055
-1 -353,025,055

Now, we try dividing 353,025,055 by 3:

353,025,055 ÷ 3 = 117,675,018.3333

If the quotient is a whole number, then 3 and 117,675,018.3333 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:

1 353,025,055
-1 -353,025,055

Let's try dividing by 4:

353,025,055 ÷ 4 = 88,256,263.75

If the quotient is a whole number, then 4 and 88,256,263.75 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:

1 353,025,055
-1 353,025,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1531431552151,3336,66552,967264,8351,641,9772,277,5818,209,88511,387,90570,605,011353,025,055
-1-5-31-43-155-215-1,333-6,665-52,967-264,835-1,641,977-2,277,581-8,209,885-11,387,905-70,605,011-353,025,055

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