Q: What are the factor combinations of the number 443,453,447?

 A:
Positive:   1 x 44345344789 x 4982623547 x 8107019109 x 48683
Negative: -1 x -443453447-89 x -4982623-547 x -810701-9109 x -48683


How do I find the factor combinations of the number 443,453,447?

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 443,453,447, 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.

1 443,453,447
-1 -443,453,447

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 443,453,447.

Example:
1 x 443,453,447 = 443,453,447
and
-1 x -443,453,447 = 443,453,447
Notice both answers equal 443,453,447

With that explanation out of the way, let's continue. Next, we take the number 443,453,447 and divide it by 2:

443,453,447 ÷ 2 = 221,726,723.5

If the quotient is a whole number, then 2 and 221,726,723.5 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:

1 443,453,447
-1 -443,453,447

Now, we try dividing 443,453,447 by 3:

443,453,447 ÷ 3 = 147,817,815.6667

If the quotient is a whole number, then 3 and 147,817,815.6667 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:

1 443,453,447
-1 -443,453,447

Let's try dividing by 4:

443,453,447 ÷ 4 = 110,863,361.75

If the quotient is a whole number, then 4 and 110,863,361.75 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:

1 443,453,447
-1 443,453,447
Keep dividing by the next highest number until you cannot divide anymore.

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

1895479,10948,683810,7014,982,623443,453,447
-1-89-547-9,109-48,683-810,701-4,982,623-443,453,447

More Examples

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