Q: What are the factor combinations of the number 6,360,007?

 A:
Positive:   1 x 63600072269 x 2803
Negative: -1 x -6360007-2269 x -2803


How do I find the factor combinations of the number 6,360,007?

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 6,360,007, 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 6,360,007
-1 -6,360,007

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 6,360,007.

Example:
1 x 6,360,007 = 6,360,007
and
-1 x -6,360,007 = 6,360,007
Notice both answers equal 6,360,007

With that explanation out of the way, let's continue. Next, we take the number 6,360,007 and divide it by 2:

6,360,007 ÷ 2 = 3,180,003.5

If the quotient is a whole number, then 2 and 3,180,003.5 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 6,360,007
-1 -6,360,007

Now, we try dividing 6,360,007 by 3:

6,360,007 ÷ 3 = 2,120,002.3333

If the quotient is a whole number, then 3 and 2,120,002.3333 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 6,360,007
-1 -6,360,007

Let's try dividing by 4:

6,360,007 ÷ 4 = 1,590,001.75

If the quotient is a whole number, then 4 and 1,590,001.75 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 6,360,007
-1 6,360,007
Keep dividing by the next highest number until you cannot divide anymore.

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

12,2692,8036,360,007
-1-2,269-2,803-6,360,007

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 6,360,007:


Ask a Question