Q: What are the factor combinations of the number 443,431,025?

 A:
Positive:   1 x 4434310255 x 8868620519 x 2333847525 x 1773724129 x 1529072595 x 4667695145 x 3058145475 x 933539551 x 804775725 x 6116292755 x 16095513775 x 32191
Negative: -1 x -443431025-5 x -88686205-19 x -23338475-25 x -17737241-29 x -15290725-95 x -4667695-145 x -3058145-475 x -933539-551 x -804775-725 x -611629-2755 x -160955-13775 x -32191


How do I find the factor combinations of the number 443,431,025?

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 443,431,025, 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.

1 443,431,025
-1 -443,431,025

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 443,431,025.

Example:
1 x 443,431,025 = 443,431,025
and
-1 x -443,431,025 = 443,431,025
Notice both answers equal 443,431,025

With that explanation out of the way, let's continue. Next, we take the number 443,431,025 and divide it by 2:

443,431,025 ÷ 2 = 221,715,512.5

If the quotient is a whole number, then 2 and 221,715,512.5 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:

1 443,431,025
-1 -443,431,025

Now, we try dividing 443,431,025 by 3:

443,431,025 ÷ 3 = 147,810,341.6667

If the quotient is a whole number, then 3 and 147,810,341.6667 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:

1 443,431,025
-1 -443,431,025

Let's try dividing by 4:

443,431,025 ÷ 4 = 110,857,756.25

If the quotient is a whole number, then 4 and 110,857,756.25 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:

1 443,431,025
-1 443,431,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15192529951454755517252,75513,77532,191160,955611,629804,775933,5393,058,1454,667,69515,290,72517,737,24123,338,47588,686,205443,431,025
-1-5-19-25-29-95-145-475-551-725-2,755-13,775-32,191-160,955-611,629-804,775-933,539-3,058,145-4,667,695-15,290,725-17,737,241-23,338,475-88,686,205-443,431,025

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