Q: What are the factor combinations of the number 40,600,375?

 A:
Positive:   1 x 406003755 x 812007525 x 1624015125 x 324803379 x 107125857 x 473751895 x 214254285 x 9475
Negative: -1 x -40600375-5 x -8120075-25 x -1624015-125 x -324803-379 x -107125-857 x -47375-1895 x -21425-4285 x -9475


How do I find the factor combinations of the number 40,600,375?

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 40,600,375, 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 40,600,375
-1 -40,600,375

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 40,600,375.

Example:
1 x 40,600,375 = 40,600,375
and
-1 x -40,600,375 = 40,600,375
Notice both answers equal 40,600,375

With that explanation out of the way, let's continue. Next, we take the number 40,600,375 and divide it by 2:

40,600,375 ÷ 2 = 20,300,187.5

If the quotient is a whole number, then 2 and 20,300,187.5 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 40,600,375
-1 -40,600,375

Now, we try dividing 40,600,375 by 3:

40,600,375 ÷ 3 = 13,533,458.3333

If the quotient is a whole number, then 3 and 13,533,458.3333 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 40,600,375
-1 -40,600,375

Let's try dividing by 4:

40,600,375 ÷ 4 = 10,150,093.75

If the quotient is a whole number, then 4 and 10,150,093.75 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 40,600,375
-1 40,600,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251253798571,8954,2859,47521,42547,375107,125324,8031,624,0158,120,07540,600,375
-1-5-25-125-379-857-1,895-4,285-9,475-21,425-47,375-107,125-324,803-1,624,015-8,120,075-40,600,375

More Examples

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