Q: What are the factor combinations of the number 2,999,801?

 A:
Positive:   1 x 29998017 x 428543101 x 29701707 x 4243
Negative: -1 x -2999801-7 x -428543-101 x -29701-707 x -4243


How do I find the factor combinations of the number 2,999,801?

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 2,999,801, 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 2,999,801
-1 -2,999,801

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 2,999,801.

Example:
1 x 2,999,801 = 2,999,801
and
-1 x -2,999,801 = 2,999,801
Notice both answers equal 2,999,801

With that explanation out of the way, let's continue. Next, we take the number 2,999,801 and divide it by 2:

2,999,801 ÷ 2 = 1,499,900.5

If the quotient is a whole number, then 2 and 1,499,900.5 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 2,999,801
-1 -2,999,801

Now, we try dividing 2,999,801 by 3:

2,999,801 ÷ 3 = 999,933.6667

If the quotient is a whole number, then 3 and 999,933.6667 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 2,999,801
-1 -2,999,801

Let's try dividing by 4:

2,999,801 ÷ 4 = 749,950.25

If the quotient is a whole number, then 4 and 749,950.25 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 2,999,801
-1 2,999,801
Keep dividing by the next highest number until you cannot divide anymore.

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

171017074,24329,701428,5432,999,801
-1-7-101-707-4,243-29,701-428,543-2,999,801

More Examples

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