Q: What are the factor combinations of the number 41,231,443?

 A:
Positive:   1 x 4123144311 x 374831317 x 242537979 x 521917187 x 220489869 x 474471343 x 307012791 x 14773
Negative: -1 x -41231443-11 x -3748313-17 x -2425379-79 x -521917-187 x -220489-869 x -47447-1343 x -30701-2791 x -14773


How do I find the factor combinations of the number 41,231,443?

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 41,231,443, 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 41,231,443
-1 -41,231,443

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 41,231,443.

Example:
1 x 41,231,443 = 41,231,443
and
-1 x -41,231,443 = 41,231,443
Notice both answers equal 41,231,443

With that explanation out of the way, let's continue. Next, we take the number 41,231,443 and divide it by 2:

41,231,443 ÷ 2 = 20,615,721.5

If the quotient is a whole number, then 2 and 20,615,721.5 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 41,231,443
-1 -41,231,443

Now, we try dividing 41,231,443 by 3:

41,231,443 ÷ 3 = 13,743,814.3333

If the quotient is a whole number, then 3 and 13,743,814.3333 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 41,231,443
-1 -41,231,443

Let's try dividing by 4:

41,231,443 ÷ 4 = 10,307,860.75

If the quotient is a whole number, then 4 and 10,307,860.75 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 41,231,443
-1 41,231,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11117791878691,3432,79114,77330,70147,447220,489521,9172,425,3793,748,31341,231,443
-1-11-17-79-187-869-1,343-2,791-14,773-30,701-47,447-220,489-521,917-2,425,379-3,748,313-41,231,443

More Examples

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