Q: What are the factor combinations of the number 104,024,041?

 A:
Positive:   1 x 10402404111 x 9456731101 x 1029941109 x 954349859 x 1210991111 x 936311199 x 867599449 x 11009
Negative: -1 x -104024041-11 x -9456731-101 x -1029941-109 x -954349-859 x -121099-1111 x -93631-1199 x -86759-9449 x -11009


How do I find the factor combinations of the number 104,024,041?

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 104,024,041, 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.

1 104,024,041
-1 -104,024,041

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 104,024,041.

Example:
1 x 104,024,041 = 104,024,041
and
-1 x -104,024,041 = 104,024,041
Notice both answers equal 104,024,041

With that explanation out of the way, let's continue. Next, we take the number 104,024,041 and divide it by 2:

104,024,041 ÷ 2 = 52,012,020.5

If the quotient is a whole number, then 2 and 52,012,020.5 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:

1 104,024,041
-1 -104,024,041

Now, we try dividing 104,024,041 by 3:

104,024,041 ÷ 3 = 34,674,680.3333

If the quotient is a whole number, then 3 and 34,674,680.3333 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:

1 104,024,041
-1 -104,024,041

Let's try dividing by 4:

104,024,041 ÷ 4 = 26,006,010.25

If the quotient is a whole number, then 4 and 26,006,010.25 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:

1 104,024,041
-1 104,024,041
Keep dividing by the next highest number until you cannot divide anymore.

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

1111011098591,1111,1999,44911,00986,75993,631121,099954,3491,029,9419,456,731104,024,041
-1-11-101-109-859-1,111-1,199-9,449-11,009-86,759-93,631-121,099-954,349-1,029,941-9,456,731-104,024,041

More Examples

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