Q: What are the factor combinations of the number 42,512,375?

 A:
Positive:   1 x 425123755 x 850247525 x 1700495125 x 340099181 x 234875905 x 469751879 x 226254525 x 9395
Negative: -1 x -42512375-5 x -8502475-25 x -1700495-125 x -340099-181 x -234875-905 x -46975-1879 x -22625-4525 x -9395


How do I find the factor combinations of the number 42,512,375?

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 42,512,375, 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 42,512,375
-1 -42,512,375

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 42,512,375.

Example:
1 x 42,512,375 = 42,512,375
and
-1 x -42,512,375 = 42,512,375
Notice both answers equal 42,512,375

With that explanation out of the way, let's continue. Next, we take the number 42,512,375 and divide it by 2:

42,512,375 ÷ 2 = 21,256,187.5

If the quotient is a whole number, then 2 and 21,256,187.5 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 42,512,375
-1 -42,512,375

Now, we try dividing 42,512,375 by 3:

42,512,375 ÷ 3 = 14,170,791.6667

If the quotient is a whole number, then 3 and 14,170,791.6667 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 42,512,375
-1 -42,512,375

Let's try dividing by 4:

42,512,375 ÷ 4 = 10,628,093.75

If the quotient is a whole number, then 4 and 10,628,093.75 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 42,512,375
-1 42,512,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251251819051,8794,5259,39522,62546,975234,875340,0991,700,4958,502,47542,512,375
-1-5-25-125-181-905-1,879-4,525-9,395-22,625-46,975-234,875-340,099-1,700,495-8,502,475-42,512,375

More Examples

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