Q: What are the factor combinations of the number 40,262,803?

 A:
Positive:   1 x 402628037 x 5751829103 x 390901721 x 55843
Negative: -1 x -40262803-7 x -5751829-103 x -390901-721 x -55843


How do I find the factor combinations of the number 40,262,803?

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 40,262,803, 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 40,262,803
-1 -40,262,803

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 40,262,803.

Example:
1 x 40,262,803 = 40,262,803
and
-1 x -40,262,803 = 40,262,803
Notice both answers equal 40,262,803

With that explanation out of the way, let's continue. Next, we take the number 40,262,803 and divide it by 2:

40,262,803 ÷ 2 = 20,131,401.5

If the quotient is a whole number, then 2 and 20,131,401.5 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 40,262,803
-1 -40,262,803

Now, we try dividing 40,262,803 by 3:

40,262,803 ÷ 3 = 13,420,934.3333

If the quotient is a whole number, then 3 and 13,420,934.3333 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 40,262,803
-1 -40,262,803

Let's try dividing by 4:

40,262,803 ÷ 4 = 10,065,700.75

If the quotient is a whole number, then 4 and 10,065,700.75 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 40,262,803
-1 40,262,803
Keep dividing by the next highest number until you cannot divide anymore.

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

1710372155,843390,9015,751,82940,262,803
-1-7-103-721-55,843-390,901-5,751,829-40,262,803

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 40,262,803:


Ask a Question