Q: What are the factor combinations of the number 40,201,135?

 A:
Positive:   1 x 402011355 x 804022713 x 309239561 x 65903565 x 618479305 x 131807793 x 506953965 x 10139
Negative: -1 x -40201135-5 x -8040227-13 x -3092395-61 x -659035-65 x -618479-305 x -131807-793 x -50695-3965 x -10139


How do I find the factor combinations of the number 40,201,135?

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 40,201,135, 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 40,201,135
-1 -40,201,135

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 40,201,135.

Example:
1 x 40,201,135 = 40,201,135
and
-1 x -40,201,135 = 40,201,135
Notice both answers equal 40,201,135

With that explanation out of the way, let's continue. Next, we take the number 40,201,135 and divide it by 2:

40,201,135 ÷ 2 = 20,100,567.5

If the quotient is a whole number, then 2 and 20,100,567.5 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 40,201,135
-1 -40,201,135

Now, we try dividing 40,201,135 by 3:

40,201,135 ÷ 3 = 13,400,378.3333

If the quotient is a whole number, then 3 and 13,400,378.3333 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 40,201,135
-1 -40,201,135

Let's try dividing by 4:

40,201,135 ÷ 4 = 10,050,283.75

If the quotient is a whole number, then 4 and 10,050,283.75 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 40,201,135
-1 40,201,135
Keep dividing by the next highest number until you cannot divide anymore.

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

151361653057933,96510,13950,695131,807618,479659,0353,092,3958,040,22740,201,135
-1-5-13-61-65-305-793-3,965-10,139-50,695-131,807-618,479-659,035-3,092,395-8,040,227-40,201,135

More Examples

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