Q: What are the factor combinations of the number 1,504,807?

 A:
Positive:   1 x 1504807383 x 3929
Negative: -1 x -1504807-383 x -3929


How do I find the factor combinations of the number 1,504,807?

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 1,504,807, 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 1,504,807
-1 -1,504,807

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 1,504,807.

Example:
1 x 1,504,807 = 1,504,807
and
-1 x -1,504,807 = 1,504,807
Notice both answers equal 1,504,807

With that explanation out of the way, let's continue. Next, we take the number 1,504,807 and divide it by 2:

1,504,807 ÷ 2 = 752,403.5

If the quotient is a whole number, then 2 and 752,403.5 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 1,504,807
-1 -1,504,807

Now, we try dividing 1,504,807 by 3:

1,504,807 ÷ 3 = 501,602.3333

If the quotient is a whole number, then 3 and 501,602.3333 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 1,504,807
-1 -1,504,807

Let's try dividing by 4:

1,504,807 ÷ 4 = 376,201.75

If the quotient is a whole number, then 4 and 376,201.75 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 1,504,807
-1 1,504,807
Keep dividing by the next highest number until you cannot divide anymore.

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

13833,9291,504,807
-1-383-3,929-1,504,807

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,504,807:


Ask a Question