Q: What are the factor combinations of the number 40,425,235?

 A:
Positive:   1 x 404252355 x 808504717 x 237795585 x 47559197 x 416755485 x 833511649 x 245154903 x 8245
Negative: -1 x -40425235-5 x -8085047-17 x -2377955-85 x -475591-97 x -416755-485 x -83351-1649 x -24515-4903 x -8245


How do I find the factor combinations of the number 40,425,235?

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 40,425,235, 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 40,425,235
-1 -40,425,235

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 40,425,235.

Example:
1 x 40,425,235 = 40,425,235
and
-1 x -40,425,235 = 40,425,235
Notice both answers equal 40,425,235

With that explanation out of the way, let's continue. Next, we take the number 40,425,235 and divide it by 2:

40,425,235 ÷ 2 = 20,212,617.5

If the quotient is a whole number, then 2 and 20,212,617.5 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 40,425,235
-1 -40,425,235

Now, we try dividing 40,425,235 by 3:

40,425,235 ÷ 3 = 13,475,078.3333

If the quotient is a whole number, then 3 and 13,475,078.3333 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 40,425,235
-1 -40,425,235

Let's try dividing by 4:

40,425,235 ÷ 4 = 10,106,308.75

If the quotient is a whole number, then 4 and 10,106,308.75 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 40,425,235
-1 40,425,235
Keep dividing by the next highest number until you cannot divide anymore.

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

151785974851,6494,9038,24524,51583,351416,755475,5912,377,9558,085,04740,425,235
-1-5-17-85-97-485-1,649-4,903-8,245-24,515-83,351-416,755-475,591-2,377,955-8,085,047-40,425,235

More Examples

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