Q: What are the factor combinations of the number 40,240,043?

 A:
Positive:   1 x 4024004319 x 2117897281 x 1432035339 x 7537
Negative: -1 x -40240043-19 x -2117897-281 x -143203-5339 x -7537


How do I find the factor combinations of the number 40,240,043?

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 40,240,043, 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 40,240,043
-1 -40,240,043

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 40,240,043.

Example:
1 x 40,240,043 = 40,240,043
and
-1 x -40,240,043 = 40,240,043
Notice both answers equal 40,240,043

With that explanation out of the way, let's continue. Next, we take the number 40,240,043 and divide it by 2:

40,240,043 ÷ 2 = 20,120,021.5

If the quotient is a whole number, then 2 and 20,120,021.5 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 40,240,043
-1 -40,240,043

Now, we try dividing 40,240,043 by 3:

40,240,043 ÷ 3 = 13,413,347.6667

If the quotient is a whole number, then 3 and 13,413,347.6667 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 40,240,043
-1 -40,240,043

Let's try dividing by 4:

40,240,043 ÷ 4 = 10,060,010.75

If the quotient is a whole number, then 4 and 10,060,010.75 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 40,240,043
-1 40,240,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1192815,3397,537143,2032,117,89740,240,043
-1-19-281-5,339-7,537-143,203-2,117,897-40,240,043

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,240,043:


Ask a Question