Q: What are the factor combinations of the number 447,367?

 A:
Positive:   1 x 44736737 x 12091107 x 4181113 x 3959
Negative: -1 x -447367-37 x -12091-107 x -4181-113 x -3959


How do I find the factor combinations of the number 447,367?

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 447,367, 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.

1 447,367
-1 -447,367

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 447,367.

Example:
1 x 447,367 = 447,367
and
-1 x -447,367 = 447,367
Notice both answers equal 447,367

With that explanation out of the way, let's continue. Next, we take the number 447,367 and divide it by 2:

447,367 ÷ 2 = 223,683.5

If the quotient is a whole number, then 2 and 223,683.5 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:

1 447,367
-1 -447,367

Now, we try dividing 447,367 by 3:

447,367 ÷ 3 = 149,122.3333

If the quotient is a whole number, then 3 and 149,122.3333 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:

1 447,367
-1 -447,367

Let's try dividing by 4:

447,367 ÷ 4 = 111,841.75

If the quotient is a whole number, then 4 and 111,841.75 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:

1 447,367
-1 447,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1371071133,9594,18112,091447,367
-1-37-107-113-3,959-4,181-12,091-447,367

More Examples

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