Q: What are the factor combinations of the number 433,021,199?

 A:
Positive:   1 x 43302119913 x 3330932347 x 921321779 x 5481281611 x 7087091027 x 4216373713 x 1166238971 x 48269
Negative: -1 x -433021199-13 x -33309323-47 x -9213217-79 x -5481281-611 x -708709-1027 x -421637-3713 x -116623-8971 x -48269


How do I find the factor combinations of the number 433,021,199?

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 433,021,199, 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.

1 433,021,199
-1 -433,021,199

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 433,021,199.

Example:
1 x 433,021,199 = 433,021,199
and
-1 x -433,021,199 = 433,021,199
Notice both answers equal 433,021,199

With that explanation out of the way, let's continue. Next, we take the number 433,021,199 and divide it by 2:

433,021,199 ÷ 2 = 216,510,599.5

If the quotient is a whole number, then 2 and 216,510,599.5 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:

1 433,021,199
-1 -433,021,199

Now, we try dividing 433,021,199 by 3:

433,021,199 ÷ 3 = 144,340,399.6667

If the quotient is a whole number, then 3 and 144,340,399.6667 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:

1 433,021,199
-1 -433,021,199

Let's try dividing by 4:

433,021,199 ÷ 4 = 108,255,299.75

If the quotient is a whole number, then 4 and 108,255,299.75 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:

1 433,021,199
-1 433,021,199
Keep dividing by the next highest number until you cannot divide anymore.

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

11347796111,0273,7138,97148,269116,623421,637708,7095,481,2819,213,21733,309,323433,021,199
-1-13-47-79-611-1,027-3,713-8,971-48,269-116,623-421,637-708,709-5,481,281-9,213,217-33,309,323-433,021,199

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