Q: What are the factor combinations of the number 447,122,023?

 A:
Positive:   1 x 44712202337 x 12084379151 x 2961073191 x 2340953419 x 10671175587 x 800297067 x 6326915503 x 28841
Negative: -1 x -447122023-37 x -12084379-151 x -2961073-191 x -2340953-419 x -1067117-5587 x -80029-7067 x -63269-15503 x -28841


How do I find the factor combinations of the number 447,122,023?

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 447,122,023, 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.

1 447,122,023
-1 -447,122,023

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 447,122,023.

Example:
1 x 447,122,023 = 447,122,023
and
-1 x -447,122,023 = 447,122,023
Notice both answers equal 447,122,023

With that explanation out of the way, let's continue. Next, we take the number 447,122,023 and divide it by 2:

447,122,023 ÷ 2 = 223,561,011.5

If the quotient is a whole number, then 2 and 223,561,011.5 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:

1 447,122,023
-1 -447,122,023

Now, we try dividing 447,122,023 by 3:

447,122,023 ÷ 3 = 149,040,674.3333

If the quotient is a whole number, then 3 and 149,040,674.3333 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:

1 447,122,023
-1 -447,122,023

Let's try dividing by 4:

447,122,023 ÷ 4 = 111,780,505.75

If the quotient is a whole number, then 4 and 111,780,505.75 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:

1 447,122,023
-1 447,122,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1371511914195,5877,06715,50328,84163,26980,0291,067,1172,340,9532,961,07312,084,379447,122,023
-1-37-151-191-419-5,587-7,067-15,503-28,841-63,269-80,029-1,067,117-2,340,953-2,961,073-12,084,379-447,122,023

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