Q: What are the factor combinations of the number 433,023,433?

 A:
Positive:   1 x 43302343319 x 22790707103 x 4204111409 x 1058737541 x 8004131957 x 2212697771 x 5572310279 x 42127
Negative: -1 x -433023433-19 x -22790707-103 x -4204111-409 x -1058737-541 x -800413-1957 x -221269-7771 x -55723-10279 x -42127


How do I find the factor combinations of the number 433,023,433?

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 433,023,433, 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.

1 433,023,433
-1 -433,023,433

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 433,023,433.

Example:
1 x 433,023,433 = 433,023,433
and
-1 x -433,023,433 = 433,023,433
Notice both answers equal 433,023,433

With that explanation out of the way, let's continue. Next, we take the number 433,023,433 and divide it by 2:

433,023,433 ÷ 2 = 216,511,716.5

If the quotient is a whole number, then 2 and 216,511,716.5 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:

1 433,023,433
-1 -433,023,433

Now, we try dividing 433,023,433 by 3:

433,023,433 ÷ 3 = 144,341,144.3333

If the quotient is a whole number, then 3 and 144,341,144.3333 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:

1 433,023,433
-1 -433,023,433

Let's try dividing by 4:

433,023,433 ÷ 4 = 108,255,858.25

If the quotient is a whole number, then 4 and 108,255,858.25 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:

1 433,023,433
-1 433,023,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1191034095411,9577,77110,27942,12755,723221,269800,4131,058,7374,204,11122,790,707433,023,433
-1-19-103-409-541-1,957-7,771-10,279-42,127-55,723-221,269-800,413-1,058,737-4,204,111-22,790,707-433,023,433

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 433,023,433:


Ask a Question