Q: What are the factor combinations of the number 41,164,253?

 A:
Positive:   1 x 4116425313 x 316648129 x 1419457137 x 300469377 x 109189797 x 516491781 x 231133973 x 10361
Negative: -1 x -41164253-13 x -3166481-29 x -1419457-137 x -300469-377 x -109189-797 x -51649-1781 x -23113-3973 x -10361


How do I find the factor combinations of the number 41,164,253?

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 41,164,253, 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 41,164,253
-1 -41,164,253

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 41,164,253.

Example:
1 x 41,164,253 = 41,164,253
and
-1 x -41,164,253 = 41,164,253
Notice both answers equal 41,164,253

With that explanation out of the way, let's continue. Next, we take the number 41,164,253 and divide it by 2:

41,164,253 ÷ 2 = 20,582,126.5

If the quotient is a whole number, then 2 and 20,582,126.5 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 41,164,253
-1 -41,164,253

Now, we try dividing 41,164,253 by 3:

41,164,253 ÷ 3 = 13,721,417.6667

If the quotient is a whole number, then 3 and 13,721,417.6667 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 41,164,253
-1 -41,164,253

Let's try dividing by 4:

41,164,253 ÷ 4 = 10,291,063.25

If the quotient is a whole number, then 4 and 10,291,063.25 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 41,164,253
-1 41,164,253
Keep dividing by the next highest number until you cannot divide anymore.

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

113291373777971,7813,97310,36123,11351,649109,189300,4691,419,4573,166,48141,164,253
-1-13-29-137-377-797-1,781-3,973-10,361-23,113-51,649-109,189-300,469-1,419,457-3,166,481-41,164,253

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