Q: What are the factor combinations of the number 41,738,041?

 A:
Positive:   1 x 4173804119 x 219673941 x 1018001131 x 318611409 x 102049779 x 535792489 x 167695371 x 7771
Negative: -1 x -41738041-19 x -2196739-41 x -1018001-131 x -318611-409 x -102049-779 x -53579-2489 x -16769-5371 x -7771


How do I find the factor combinations of the number 41,738,041?

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 41,738,041, 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 41,738,041
-1 -41,738,041

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 41,738,041.

Example:
1 x 41,738,041 = 41,738,041
and
-1 x -41,738,041 = 41,738,041
Notice both answers equal 41,738,041

With that explanation out of the way, let's continue. Next, we take the number 41,738,041 and divide it by 2:

41,738,041 ÷ 2 = 20,869,020.5

If the quotient is a whole number, then 2 and 20,869,020.5 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 41,738,041
-1 -41,738,041

Now, we try dividing 41,738,041 by 3:

41,738,041 ÷ 3 = 13,912,680.3333

If the quotient is a whole number, then 3 and 13,912,680.3333 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 41,738,041
-1 -41,738,041

Let's try dividing by 4:

41,738,041 ÷ 4 = 10,434,510.25

If the quotient is a whole number, then 4 and 10,434,510.25 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 41,738,041
-1 41,738,041
Keep dividing by the next highest number until you cannot divide anymore.

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

119411314097792,4895,3717,77116,76953,579102,049318,6111,018,0012,196,73941,738,041
-1-19-41-131-409-779-2,489-5,371-7,771-16,769-53,579-102,049-318,611-1,018,001-2,196,739-41,738,041

More Examples

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