Q: What are the factor combinations of the number 133,251,433?

 A:
Positive:   1 x 1332514337 x 1903591929 x 459487749 x 271941779 x 1686727203 x 656411553 x 2409611187 x 1122591421 x 937732291 x 581633871 x 344238309 x 16037
Negative: -1 x -133251433-7 x -19035919-29 x -4594877-49 x -2719417-79 x -1686727-203 x -656411-553 x -240961-1187 x -112259-1421 x -93773-2291 x -58163-3871 x -34423-8309 x -16037


How do I find the factor combinations of the number 133,251,433?

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 133,251,433, 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.

1 133,251,433
-1 -133,251,433

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 133,251,433.

Example:
1 x 133,251,433 = 133,251,433
and
-1 x -133,251,433 = 133,251,433
Notice both answers equal 133,251,433

With that explanation out of the way, let's continue. Next, we take the number 133,251,433 and divide it by 2:

133,251,433 ÷ 2 = 66,625,716.5

If the quotient is a whole number, then 2 and 66,625,716.5 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:

1 133,251,433
-1 -133,251,433

Now, we try dividing 133,251,433 by 3:

133,251,433 ÷ 3 = 44,417,144.3333

If the quotient is a whole number, then 3 and 44,417,144.3333 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:

1 133,251,433
-1 -133,251,433

Let's try dividing by 4:

133,251,433 ÷ 4 = 33,312,858.25

If the quotient is a whole number, then 4 and 33,312,858.25 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:

1 133,251,433
-1 133,251,433
Keep dividing by the next highest number until you cannot divide anymore.

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

172949792035531,1871,4212,2913,8718,30916,03734,42358,16393,773112,259240,961656,4111,686,7272,719,4174,594,87719,035,919133,251,433
-1-7-29-49-79-203-553-1,187-1,421-2,291-3,871-8,309-16,037-34,423-58,163-93,773-112,259-240,961-656,411-1,686,727-2,719,417-4,594,877-19,035,919-133,251,433

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