Q: What are the factor combinations of the number 42,031,135?

 A:
Positive:   1 x 420311355 x 840622719 x 221216561 x 68903595 x 442433305 x 1378071159 x 362655795 x 7253
Negative: -1 x -42031135-5 x -8406227-19 x -2212165-61 x -689035-95 x -442433-305 x -137807-1159 x -36265-5795 x -7253


How do I find the factor combinations of the number 42,031,135?

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 42,031,135, 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 42,031,135
-1 -42,031,135

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 42,031,135.

Example:
1 x 42,031,135 = 42,031,135
and
-1 x -42,031,135 = 42,031,135
Notice both answers equal 42,031,135

With that explanation out of the way, let's continue. Next, we take the number 42,031,135 and divide it by 2:

42,031,135 ÷ 2 = 21,015,567.5

If the quotient is a whole number, then 2 and 21,015,567.5 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 42,031,135
-1 -42,031,135

Now, we try dividing 42,031,135 by 3:

42,031,135 ÷ 3 = 14,010,378.3333

If the quotient is a whole number, then 3 and 14,010,378.3333 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 42,031,135
-1 -42,031,135

Let's try dividing by 4:

42,031,135 ÷ 4 = 10,507,783.75

If the quotient is a whole number, then 4 and 10,507,783.75 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 42,031,135
-1 42,031,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151961953051,1595,7957,25336,265137,807442,433689,0352,212,1658,406,22742,031,135
-1-5-19-61-95-305-1,159-5,795-7,253-36,265-137,807-442,433-689,035-2,212,165-8,406,227-42,031,135

More Examples

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