Q: What are the factor combinations of the number 40,204,021?

 A:
Positive:   1 x 4020402111 x 365491113 x 3092617143 x 281147263 x 1528671069 x 376092893 x 138973419 x 11759
Negative: -1 x -40204021-11 x -3654911-13 x -3092617-143 x -281147-263 x -152867-1069 x -37609-2893 x -13897-3419 x -11759


How do I find the factor combinations of the number 40,204,021?

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 40,204,021, 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 40,204,021
-1 -40,204,021

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 40,204,021.

Example:
1 x 40,204,021 = 40,204,021
and
-1 x -40,204,021 = 40,204,021
Notice both answers equal 40,204,021

With that explanation out of the way, let's continue. Next, we take the number 40,204,021 and divide it by 2:

40,204,021 ÷ 2 = 20,102,010.5

If the quotient is a whole number, then 2 and 20,102,010.5 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 40,204,021
-1 -40,204,021

Now, we try dividing 40,204,021 by 3:

40,204,021 ÷ 3 = 13,401,340.3333

If the quotient is a whole number, then 3 and 13,401,340.3333 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 40,204,021
-1 -40,204,021

Let's try dividing by 4:

40,204,021 ÷ 4 = 10,051,005.25

If the quotient is a whole number, then 4 and 10,051,005.25 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 40,204,021
-1 40,204,021
Keep dividing by the next highest number until you cannot divide anymore.

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

111131432631,0692,8933,41911,75913,89737,609152,867281,1473,092,6173,654,91140,204,021
-1-11-13-143-263-1,069-2,893-3,419-11,759-13,897-37,609-152,867-281,147-3,092,617-3,654,911-40,204,021

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,204,021:


Ask a Question