Q: What are the factor combinations of the number 433,373,333?

 A:
Positive:   1 x 43337333317 x 2549254973 x 5936621137 x 31633091241 x 3492132329 x 1860772549 x 17001710001 x 43333
Negative: -1 x -433373333-17 x -25492549-73 x -5936621-137 x -3163309-1241 x -349213-2329 x -186077-2549 x -170017-10001 x -43333


How do I find the factor combinations of the number 433,373,333?

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 433,373,333, 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.

1 433,373,333
-1 -433,373,333

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 433,373,333.

Example:
1 x 433,373,333 = 433,373,333
and
-1 x -433,373,333 = 433,373,333
Notice both answers equal 433,373,333

With that explanation out of the way, let's continue. Next, we take the number 433,373,333 and divide it by 2:

433,373,333 ÷ 2 = 216,686,666.5

If the quotient is a whole number, then 2 and 216,686,666.5 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:

1 433,373,333
-1 -433,373,333

Now, we try dividing 433,373,333 by 3:

433,373,333 ÷ 3 = 144,457,777.6667

If the quotient is a whole number, then 3 and 144,457,777.6667 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:

1 433,373,333
-1 -433,373,333

Let's try dividing by 4:

433,373,333 ÷ 4 = 108,343,333.25

If the quotient is a whole number, then 4 and 108,343,333.25 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:

1 433,373,333
-1 433,373,333
Keep dividing by the next highest number until you cannot divide anymore.

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

117731371,2412,3292,54910,00143,333170,017186,077349,2133,163,3095,936,62125,492,549433,373,333
-1-17-73-137-1,241-2,329-2,549-10,001-43,333-170,017-186,077-349,213-3,163,309-5,936,621-25,492,549-433,373,333

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