Q: What are the factor combinations of the number 42,515,035?

 A:
Positive:   1 x 425150355 x 850300737 x 114905579 x 538165185 x 229811395 x 1076332909 x 146152923 x 14545
Negative: -1 x -42515035-5 x -8503007-37 x -1149055-79 x -538165-185 x -229811-395 x -107633-2909 x -14615-2923 x -14545


How do I find the factor combinations of the number 42,515,035?

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 42,515,035, 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 42,515,035
-1 -42,515,035

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 42,515,035.

Example:
1 x 42,515,035 = 42,515,035
and
-1 x -42,515,035 = 42,515,035
Notice both answers equal 42,515,035

With that explanation out of the way, let's continue. Next, we take the number 42,515,035 and divide it by 2:

42,515,035 ÷ 2 = 21,257,517.5

If the quotient is a whole number, then 2 and 21,257,517.5 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 42,515,035
-1 -42,515,035

Now, we try dividing 42,515,035 by 3:

42,515,035 ÷ 3 = 14,171,678.3333

If the quotient is a whole number, then 3 and 14,171,678.3333 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 42,515,035
-1 -42,515,035

Let's try dividing by 4:

42,515,035 ÷ 4 = 10,628,758.75

If the quotient is a whole number, then 4 and 10,628,758.75 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 42,515,035
-1 42,515,035
Keep dividing by the next highest number until you cannot divide anymore.

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

1537791853952,9092,92314,54514,615107,633229,811538,1651,149,0558,503,00742,515,035
-1-5-37-79-185-395-2,909-2,923-14,545-14,615-107,633-229,811-538,165-1,149,055-8,503,007-42,515,035

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