Q: What are the factor combinations of the number 6,420,055?

 A:
Positive:   1 x 64200555 x 128401137 x 173515185 x 34703
Negative: -1 x -6420055-5 x -1284011-37 x -173515-185 x -34703


How do I find the factor combinations of the number 6,420,055?

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 6,420,055, 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 6,420,055
-1 -6,420,055

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 6,420,055.

Example:
1 x 6,420,055 = 6,420,055
and
-1 x -6,420,055 = 6,420,055
Notice both answers equal 6,420,055

With that explanation out of the way, let's continue. Next, we take the number 6,420,055 and divide it by 2:

6,420,055 ÷ 2 = 3,210,027.5

If the quotient is a whole number, then 2 and 3,210,027.5 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 6,420,055
-1 -6,420,055

Now, we try dividing 6,420,055 by 3:

6,420,055 ÷ 3 = 2,140,018.3333

If the quotient is a whole number, then 3 and 2,140,018.3333 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 6,420,055
-1 -6,420,055

Let's try dividing by 4:

6,420,055 ÷ 4 = 1,605,013.75

If the quotient is a whole number, then 4 and 1,605,013.75 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 6,420,055
-1 6,420,055
Keep dividing by the next highest number until you cannot divide anymore.

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

153718534,703173,5151,284,0116,420,055
-1-5-37-185-34,703-173,515-1,284,011-6,420,055

More Examples

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