Q: What are the factor combinations of the number 41,104,225?

 A:
Positive:   1 x 411042255 x 822084525 x 164416937 x 1110925185 x 222185925 x 444371201 x 342251369 x 300256005 x 6845
Negative: -1 x -41104225-5 x -8220845-25 x -1644169-37 x -1110925-185 x -222185-925 x -44437-1201 x -34225-1369 x -30025-6005 x -6845


How do I find the factor combinations of the number 41,104,225?

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 41,104,225, 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 41,104,225
-1 -41,104,225

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 41,104,225.

Example:
1 x 41,104,225 = 41,104,225
and
-1 x -41,104,225 = 41,104,225
Notice both answers equal 41,104,225

With that explanation out of the way, let's continue. Next, we take the number 41,104,225 and divide it by 2:

41,104,225 ÷ 2 = 20,552,112.5

If the quotient is a whole number, then 2 and 20,552,112.5 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 41,104,225
-1 -41,104,225

Now, we try dividing 41,104,225 by 3:

41,104,225 ÷ 3 = 13,701,408.3333

If the quotient is a whole number, then 3 and 13,701,408.3333 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 41,104,225
-1 -41,104,225

Let's try dividing by 4:

41,104,225 ÷ 4 = 10,276,056.25

If the quotient is a whole number, then 4 and 10,276,056.25 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 41,104,225
-1 41,104,225
Keep dividing by the next highest number until you cannot divide anymore.

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

1525371859251,2011,3696,0056,84530,02534,22544,437222,1851,110,9251,644,1698,220,84541,104,225
-1-5-25-37-185-925-1,201-1,369-6,005-6,845-30,025-34,225-44,437-222,185-1,110,925-1,644,169-8,220,845-41,104,225

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