Q: What are the factor combinations of the number 452,431,423?

 A:
Positive:   1 x 45243142343 x 1052166183 x 5450981109 x 41507471163 x 3890213569 x 1267674687 x 965299047 x 50009
Negative: -1 x -452431423-43 x -10521661-83 x -5450981-109 x -4150747-1163 x -389021-3569 x -126767-4687 x -96529-9047 x -50009


How do I find the factor combinations of the number 452,431,423?

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 452,431,423, 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.

1 452,431,423
-1 -452,431,423

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 452,431,423.

Example:
1 x 452,431,423 = 452,431,423
and
-1 x -452,431,423 = 452,431,423
Notice both answers equal 452,431,423

With that explanation out of the way, let's continue. Next, we take the number 452,431,423 and divide it by 2:

452,431,423 ÷ 2 = 226,215,711.5

If the quotient is a whole number, then 2 and 226,215,711.5 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:

1 452,431,423
-1 -452,431,423

Now, we try dividing 452,431,423 by 3:

452,431,423 ÷ 3 = 150,810,474.3333

If the quotient is a whole number, then 3 and 150,810,474.3333 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:

1 452,431,423
-1 -452,431,423

Let's try dividing by 4:

452,431,423 ÷ 4 = 113,107,855.75

If the quotient is a whole number, then 4 and 113,107,855.75 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:

1 452,431,423
-1 452,431,423
Keep dividing by the next highest number until you cannot divide anymore.

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

143831091,1633,5694,6879,04750,00996,529126,767389,0214,150,7475,450,98110,521,661452,431,423
-1-43-83-109-1,163-3,569-4,687-9,047-50,009-96,529-126,767-389,021-4,150,747-5,450,981-10,521,661-452,431,423

More Examples

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