Q: What are the factor combinations of the number 445,455,331?

 A:
Positive:   1 x 44545533147 x 947777397 x 4592323199 x 2238469491 x 9072414559 x 977099353 x 4762719303 x 23077
Negative: -1 x -445455331-47 x -9477773-97 x -4592323-199 x -2238469-491 x -907241-4559 x -97709-9353 x -47627-19303 x -23077


How do I find the factor combinations of the number 445,455,331?

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 445,455,331, 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.

1 445,455,331
-1 -445,455,331

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 445,455,331.

Example:
1 x 445,455,331 = 445,455,331
and
-1 x -445,455,331 = 445,455,331
Notice both answers equal 445,455,331

With that explanation out of the way, let's continue. Next, we take the number 445,455,331 and divide it by 2:

445,455,331 ÷ 2 = 222,727,665.5

If the quotient is a whole number, then 2 and 222,727,665.5 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:

1 445,455,331
-1 -445,455,331

Now, we try dividing 445,455,331 by 3:

445,455,331 ÷ 3 = 148,485,110.3333

If the quotient is a whole number, then 3 and 148,485,110.3333 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:

1 445,455,331
-1 -445,455,331

Let's try dividing by 4:

445,455,331 ÷ 4 = 111,363,832.75

If the quotient is a whole number, then 4 and 111,363,832.75 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:

1 445,455,331
-1 445,455,331
Keep dividing by the next highest number until you cannot divide anymore.

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

147971994914,5599,35319,30323,07747,62797,709907,2412,238,4694,592,3239,477,773445,455,331
-1-47-97-199-491-4,559-9,353-19,303-23,077-47,627-97,709-907,241-2,238,469-4,592,323-9,477,773-445,455,331

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