Q: What are the factor combinations of the number 42,010,133?

 A:
Positive:   1 x 4201013311 x 381910337 x 1135409233 x 180301407 x 103219443 x 948312563 x 163914873 x 8621
Negative: -1 x -42010133-11 x -3819103-37 x -1135409-233 x -180301-407 x -103219-443 x -94831-2563 x -16391-4873 x -8621


How do I find the factor combinations of the number 42,010,133?

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 42,010,133, 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 42,010,133
-1 -42,010,133

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 42,010,133.

Example:
1 x 42,010,133 = 42,010,133
and
-1 x -42,010,133 = 42,010,133
Notice both answers equal 42,010,133

With that explanation out of the way, let's continue. Next, we take the number 42,010,133 and divide it by 2:

42,010,133 ÷ 2 = 21,005,066.5

If the quotient is a whole number, then 2 and 21,005,066.5 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 42,010,133
-1 -42,010,133

Now, we try dividing 42,010,133 by 3:

42,010,133 ÷ 3 = 14,003,377.6667

If the quotient is a whole number, then 3 and 14,003,377.6667 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 42,010,133
-1 -42,010,133

Let's try dividing by 4:

42,010,133 ÷ 4 = 10,502,533.25

If the quotient is a whole number, then 4 and 10,502,533.25 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 42,010,133
-1 42,010,133
Keep dividing by the next highest number until you cannot divide anymore.

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

111372334074432,5634,8738,62116,39194,831103,219180,3011,135,4093,819,10342,010,133
-1-11-37-233-407-443-2,563-4,873-8,621-16,391-94,831-103,219-180,301-1,135,409-3,819,103-42,010,133

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