Q: What are the factor combinations of the number 40,463,675?

 A:
Positive:   1 x 404636755 x 80927357 x 578052525 x 161854735 x 115610559 x 685825175 x 231221295 x 137165413 x 979751475 x 274332065 x 195953919 x 10325
Negative: -1 x -40463675-5 x -8092735-7 x -5780525-25 x -1618547-35 x -1156105-59 x -685825-175 x -231221-295 x -137165-413 x -97975-1475 x -27433-2065 x -19595-3919 x -10325


How do I find the factor combinations of the number 40,463,675?

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 40,463,675, 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 40,463,675
-1 -40,463,675

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 40,463,675.

Example:
1 x 40,463,675 = 40,463,675
and
-1 x -40,463,675 = 40,463,675
Notice both answers equal 40,463,675

With that explanation out of the way, let's continue. Next, we take the number 40,463,675 and divide it by 2:

40,463,675 ÷ 2 = 20,231,837.5

If the quotient is a whole number, then 2 and 20,231,837.5 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 40,463,675
-1 -40,463,675

Now, we try dividing 40,463,675 by 3:

40,463,675 ÷ 3 = 13,487,891.6667

If the quotient is a whole number, then 3 and 13,487,891.6667 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 40,463,675
-1 -40,463,675

Let's try dividing by 4:

40,463,675 ÷ 4 = 10,115,918.75

If the quotient is a whole number, then 4 and 10,115,918.75 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 40,463,675
-1 40,463,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535591752954131,4752,0653,91910,32519,59527,43397,975137,165231,221685,8251,156,1051,618,5475,780,5258,092,73540,463,675
-1-5-7-25-35-59-175-295-413-1,475-2,065-3,919-10,325-19,595-27,433-97,975-137,165-231,221-685,825-1,156,105-1,618,547-5,780,525-8,092,735-40,463,675

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