Q: What are the factor combinations of the number 41,633,221?

 A:
Positive:   1 x 416332217 x 594760317 x 244901389 x 467789119 x 349859623 x 668271513 x 275173931 x 10591
Negative: -1 x -41633221-7 x -5947603-17 x -2449013-89 x -467789-119 x -349859-623 x -66827-1513 x -27517-3931 x -10591


How do I find the factor combinations of the number 41,633,221?

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 41,633,221, 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 41,633,221
-1 -41,633,221

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 41,633,221.

Example:
1 x 41,633,221 = 41,633,221
and
-1 x -41,633,221 = 41,633,221
Notice both answers equal 41,633,221

With that explanation out of the way, let's continue. Next, we take the number 41,633,221 and divide it by 2:

41,633,221 ÷ 2 = 20,816,610.5

If the quotient is a whole number, then 2 and 20,816,610.5 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 41,633,221
-1 -41,633,221

Now, we try dividing 41,633,221 by 3:

41,633,221 ÷ 3 = 13,877,740.3333

If the quotient is a whole number, then 3 and 13,877,740.3333 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 41,633,221
-1 -41,633,221

Let's try dividing by 4:

41,633,221 ÷ 4 = 10,408,305.25

If the quotient is a whole number, then 4 and 10,408,305.25 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 41,633,221
-1 41,633,221
Keep dividing by the next highest number until you cannot divide anymore.

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

1717891196231,5133,93110,59127,51766,827349,859467,7892,449,0135,947,60341,633,221
-1-7-17-89-119-623-1,513-3,931-10,591-27,517-66,827-349,859-467,789-2,449,013-5,947,603-41,633,221

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