Q: What are the factor combinations of the number 43,832,503?

 A:
Positive:   1 x 4383250311 x 398477313 x 337173123 x 1905761143 x 306521253 x 173251299 x 1465973289 x 13327
Negative: -1 x -43832503-11 x -3984773-13 x -3371731-23 x -1905761-143 x -306521-253 x -173251-299 x -146597-3289 x -13327


How do I find the factor combinations of the number 43,832,503?

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 43,832,503, 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 43,832,503
-1 -43,832,503

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 43,832,503.

Example:
1 x 43,832,503 = 43,832,503
and
-1 x -43,832,503 = 43,832,503
Notice both answers equal 43,832,503

With that explanation out of the way, let's continue. Next, we take the number 43,832,503 and divide it by 2:

43,832,503 ÷ 2 = 21,916,251.5

If the quotient is a whole number, then 2 and 21,916,251.5 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 43,832,503
-1 -43,832,503

Now, we try dividing 43,832,503 by 3:

43,832,503 ÷ 3 = 14,610,834.3333

If the quotient is a whole number, then 3 and 14,610,834.3333 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 43,832,503
-1 -43,832,503

Let's try dividing by 4:

43,832,503 ÷ 4 = 10,958,125.75

If the quotient is a whole number, then 4 and 10,958,125.75 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 43,832,503
-1 43,832,503
Keep dividing by the next highest number until you cannot divide anymore.

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

11113231432532993,28913,327146,597173,251306,5211,905,7613,371,7313,984,77343,832,503
-1-11-13-23-143-253-299-3,289-13,327-146,597-173,251-306,521-1,905,761-3,371,731-3,984,773-43,832,503

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