Q: What are the factor combinations of the number 2,449,499?

 A:
Positive:   1 x 244949913 x 18842319 x 12892147 x 52117211 x 11609247 x 9917611 x 4009893 x 2743
Negative: -1 x -2449499-13 x -188423-19 x -128921-47 x -52117-211 x -11609-247 x -9917-611 x -4009-893 x -2743


How do I find the factor combinations of the number 2,449,499?

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 2,449,499, 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 2,449,499
-1 -2,449,499

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 2,449,499.

Example:
1 x 2,449,499 = 2,449,499
and
-1 x -2,449,499 = 2,449,499
Notice both answers equal 2,449,499

With that explanation out of the way, let's continue. Next, we take the number 2,449,499 and divide it by 2:

2,449,499 ÷ 2 = 1,224,749.5

If the quotient is a whole number, then 2 and 1,224,749.5 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 2,449,499
-1 -2,449,499

Now, we try dividing 2,449,499 by 3:

2,449,499 ÷ 3 = 816,499.6667

If the quotient is a whole number, then 3 and 816,499.6667 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 2,449,499
-1 -2,449,499

Let's try dividing by 4:

2,449,499 ÷ 4 = 612,374.75

If the quotient is a whole number, then 4 and 612,374.75 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 2,449,499
-1 2,449,499
Keep dividing by the next highest number until you cannot divide anymore.

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

11319472112476118932,7434,0099,91711,60952,117128,921188,4232,449,499
-1-13-19-47-211-247-611-893-2,743-4,009-9,917-11,609-52,117-128,921-188,423-2,449,499

More Examples

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