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

 A:
Positive:   1 x 44345345343 x 103128711973 x 2247615227 x 84839
Negative: -1 x -443453453-43 x -10312871-1973 x -224761-5227 x -84839


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

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 443,453,453, 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.

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

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 443,453,453.

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

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

443,453,453 ÷ 2 = 221,726,726.5

If the quotient is a whole number, then 2 and 221,726,726.5 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:

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

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

443,453,453 ÷ 3 = 147,817,817.6667

If the quotient is a whole number, then 3 and 147,817,817.6667 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:

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

Let's try dividing by 4:

443,453,453 ÷ 4 = 110,863,363.25

If the quotient is a whole number, then 4 and 110,863,363.25 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:

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

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

1431,9735,22784,839224,76110,312,871443,453,453
-1-43-1,973-5,227-84,839-224,761-10,312,871-443,453,453

More Examples

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