Q: What are the factor combinations of the number 41,375,033?

 A:
Positive:   1 x 413750337 x 591071953 x 780661229 x 180677371 x 111523487 x 849591603 x 258113409 x 12137
Negative: -1 x -41375033-7 x -5910719-53 x -780661-229 x -180677-371 x -111523-487 x -84959-1603 x -25811-3409 x -12137


How do I find the factor combinations of the number 41,375,033?

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 41,375,033, 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 41,375,033
-1 -41,375,033

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 41,375,033.

Example:
1 x 41,375,033 = 41,375,033
and
-1 x -41,375,033 = 41,375,033
Notice both answers equal 41,375,033

With that explanation out of the way, let's continue. Next, we take the number 41,375,033 and divide it by 2:

41,375,033 ÷ 2 = 20,687,516.5

If the quotient is a whole number, then 2 and 20,687,516.5 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 41,375,033
-1 -41,375,033

Now, we try dividing 41,375,033 by 3:

41,375,033 ÷ 3 = 13,791,677.6667

If the quotient is a whole number, then 3 and 13,791,677.6667 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 41,375,033
-1 -41,375,033

Let's try dividing by 4:

41,375,033 ÷ 4 = 10,343,758.25

If the quotient is a whole number, then 4 and 10,343,758.25 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 41,375,033
-1 41,375,033
Keep dividing by the next highest number until you cannot divide anymore.

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

17532293714871,6033,40912,13725,81184,959111,523180,677780,6615,910,71941,375,033
-1-7-53-229-371-487-1,603-3,409-12,137-25,811-84,959-111,523-180,677-780,661-5,910,719-41,375,033

More Examples

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