Q: What are the factor combinations of the number 10,030,367?

 A:
Positive:   1 x 1003036737 x 271091173 x 579791567 x 6401
Negative: -1 x -10030367-37 x -271091-173 x -57979-1567 x -6401


How do I find the factor combinations of the number 10,030,367?

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 10,030,367, 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 10,030,367
-1 -10,030,367

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 10,030,367.

Example:
1 x 10,030,367 = 10,030,367
and
-1 x -10,030,367 = 10,030,367
Notice both answers equal 10,030,367

With that explanation out of the way, let's continue. Next, we take the number 10,030,367 and divide it by 2:

10,030,367 ÷ 2 = 5,015,183.5

If the quotient is a whole number, then 2 and 5,015,183.5 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 10,030,367
-1 -10,030,367

Now, we try dividing 10,030,367 by 3:

10,030,367 ÷ 3 = 3,343,455.6667

If the quotient is a whole number, then 3 and 3,343,455.6667 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 10,030,367
-1 -10,030,367

Let's try dividing by 4:

10,030,367 ÷ 4 = 2,507,591.75

If the quotient is a whole number, then 4 and 2,507,591.75 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 10,030,367
-1 10,030,367
Keep dividing by the next highest number until you cannot divide anymore.

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

1371731,5676,40157,979271,09110,030,367
-1-37-173-1,567-6,401-57,979-271,091-10,030,367

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 10,030,367:


Ask a Question