Q: What are the factor combinations of the number 433,716,655?

 A:
Positive:   1 x 4337166555 x 8674333141 x 10578455137 x 3165815205 x 2115691685 x 6331635617 x 7721515443 x 28085
Negative: -1 x -433716655-5 x -86743331-41 x -10578455-137 x -3165815-205 x -2115691-685 x -633163-5617 x -77215-15443 x -28085


How do I find the factor combinations of the number 433,716,655?

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 433,716,655, 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.

1 433,716,655
-1 -433,716,655

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 433,716,655.

Example:
1 x 433,716,655 = 433,716,655
and
-1 x -433,716,655 = 433,716,655
Notice both answers equal 433,716,655

With that explanation out of the way, let's continue. Next, we take the number 433,716,655 and divide it by 2:

433,716,655 ÷ 2 = 216,858,327.5

If the quotient is a whole number, then 2 and 216,858,327.5 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:

1 433,716,655
-1 -433,716,655

Now, we try dividing 433,716,655 by 3:

433,716,655 ÷ 3 = 144,572,218.3333

If the quotient is a whole number, then 3 and 144,572,218.3333 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:

1 433,716,655
-1 -433,716,655

Let's try dividing by 4:

433,716,655 ÷ 4 = 108,429,163.75

If the quotient is a whole number, then 4 and 108,429,163.75 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:

1 433,716,655
-1 433,716,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15411372056855,61715,44328,08577,215633,1632,115,6913,165,81510,578,45586,743,331433,716,655
-1-5-41-137-205-685-5,617-15,443-28,085-77,215-633,163-2,115,691-3,165,815-10,578,455-86,743,331-433,716,655

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