Q: What are the factor combinations of the number 133,446,023?

 A:
Positive:   1 x 13344602323 x 580200129 x 460158759 x 2261797667 x 2000691357 x 983391711 x 779933391 x 39353
Negative: -1 x -133446023-23 x -5802001-29 x -4601587-59 x -2261797-667 x -200069-1357 x -98339-1711 x -77993-3391 x -39353


How do I find the factor combinations of the number 133,446,023?

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 133,446,023, 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.

1 133,446,023
-1 -133,446,023

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 133,446,023.

Example:
1 x 133,446,023 = 133,446,023
and
-1 x -133,446,023 = 133,446,023
Notice both answers equal 133,446,023

With that explanation out of the way, let's continue. Next, we take the number 133,446,023 and divide it by 2:

133,446,023 ÷ 2 = 66,723,011.5

If the quotient is a whole number, then 2 and 66,723,011.5 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:

1 133,446,023
-1 -133,446,023

Now, we try dividing 133,446,023 by 3:

133,446,023 ÷ 3 = 44,482,007.6667

If the quotient is a whole number, then 3 and 44,482,007.6667 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:

1 133,446,023
-1 -133,446,023

Let's try dividing by 4:

133,446,023 ÷ 4 = 33,361,505.75

If the quotient is a whole number, then 4 and 33,361,505.75 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:

1 133,446,023
-1 133,446,023
Keep dividing by the next highest number until you cannot divide anymore.

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

12329596671,3571,7113,39139,35377,99398,339200,0692,261,7974,601,5875,802,001133,446,023
-1-23-29-59-667-1,357-1,711-3,391-39,353-77,993-98,339-200,069-2,261,797-4,601,587-5,802,001-133,446,023

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