Q: What are the factor combinations of the number 40,827,835?

 A:
Positive:   1 x 408278355 x 816556737 x 1103455185 x 220691199 x 205165995 x 410331109 x 368155545 x 7363
Negative: -1 x -40827835-5 x -8165567-37 x -1103455-185 x -220691-199 x -205165-995 x -41033-1109 x -36815-5545 x -7363


How do I find the factor combinations of the number 40,827,835?

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 40,827,835, 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 40,827,835
-1 -40,827,835

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 40,827,835.

Example:
1 x 40,827,835 = 40,827,835
and
-1 x -40,827,835 = 40,827,835
Notice both answers equal 40,827,835

With that explanation out of the way, let's continue. Next, we take the number 40,827,835 and divide it by 2:

40,827,835 ÷ 2 = 20,413,917.5

If the quotient is a whole number, then 2 and 20,413,917.5 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 40,827,835
-1 -40,827,835

Now, we try dividing 40,827,835 by 3:

40,827,835 ÷ 3 = 13,609,278.3333

If the quotient is a whole number, then 3 and 13,609,278.3333 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 40,827,835
-1 -40,827,835

Let's try dividing by 4:

40,827,835 ÷ 4 = 10,206,958.75

If the quotient is a whole number, then 4 and 10,206,958.75 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 40,827,835
-1 40,827,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15371851999951,1095,5457,36336,81541,033205,165220,6911,103,4558,165,56740,827,835
-1-5-37-185-199-995-1,109-5,545-7,363-36,815-41,033-205,165-220,691-1,103,455-8,165,567-40,827,835

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,827,835:


Ask a Question