Q: What are the factor combinations of the number 354,627,383?

 A:
Positive:   1 x 35462738311 x 3223885331 x 11439593197 x 1800139341 x 10399632167 x 1636495279 x 671776107 x 58069
Negative: -1 x -354627383-11 x -32238853-31 x -11439593-197 x -1800139-341 x -1039963-2167 x -163649-5279 x -67177-6107 x -58069


How do I find the factor combinations of the number 354,627,383?

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 354,627,383, 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.

1 354,627,383
-1 -354,627,383

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 354,627,383.

Example:
1 x 354,627,383 = 354,627,383
and
-1 x -354,627,383 = 354,627,383
Notice both answers equal 354,627,383

With that explanation out of the way, let's continue. Next, we take the number 354,627,383 and divide it by 2:

354,627,383 ÷ 2 = 177,313,691.5

If the quotient is a whole number, then 2 and 177,313,691.5 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:

1 354,627,383
-1 -354,627,383

Now, we try dividing 354,627,383 by 3:

354,627,383 ÷ 3 = 118,209,127.6667

If the quotient is a whole number, then 3 and 118,209,127.6667 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:

1 354,627,383
-1 -354,627,383

Let's try dividing by 4:

354,627,383 ÷ 4 = 88,656,845.75

If the quotient is a whole number, then 4 and 88,656,845.75 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:

1 354,627,383
-1 354,627,383
Keep dividing by the next highest number until you cannot divide anymore.

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

111311973412,1675,2796,10758,06967,177163,6491,039,9631,800,13911,439,59332,238,853354,627,383
-1-11-31-197-341-2,167-5,279-6,107-58,069-67,177-163,649-1,039,963-1,800,139-11,439,593-32,238,853-354,627,383

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