Q: What are the factor combinations of the number 4,980,899?

 A:
Positive:   1 x 49808997 x 71155711 x 45280949 x 10165177 x 64687539 x 9241
Negative: -1 x -4980899-7 x -711557-11 x -452809-49 x -101651-77 x -64687-539 x -9241


How do I find the factor combinations of the number 4,980,899?

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 4,980,899, 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 4,980,899
-1 -4,980,899

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 4,980,899.

Example:
1 x 4,980,899 = 4,980,899
and
-1 x -4,980,899 = 4,980,899
Notice both answers equal 4,980,899

With that explanation out of the way, let's continue. Next, we take the number 4,980,899 and divide it by 2:

4,980,899 ÷ 2 = 2,490,449.5

If the quotient is a whole number, then 2 and 2,490,449.5 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 4,980,899
-1 -4,980,899

Now, we try dividing 4,980,899 by 3:

4,980,899 ÷ 3 = 1,660,299.6667

If the quotient is a whole number, then 3 and 1,660,299.6667 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 4,980,899
-1 -4,980,899

Let's try dividing by 4:

4,980,899 ÷ 4 = 1,245,224.75

If the quotient is a whole number, then 4 and 1,245,224.75 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 4,980,899
-1 4,980,899
Keep dividing by the next highest number until you cannot divide anymore.

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

171149775399,24164,687101,651452,809711,5574,980,899
-1-7-11-49-77-539-9,241-64,687-101,651-452,809-711,557-4,980,899

More Examples

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