Q: What are the factor combinations of the number 2,402,389?

 A:
Positive:   1 x 240238911 x 21839917 x 14131729 x 82841187 x 12847319 x 7531443 x 5423493 x 4873
Negative: -1 x -2402389-11 x -218399-17 x -141317-29 x -82841-187 x -12847-319 x -7531-443 x -5423-493 x -4873


How do I find the factor combinations of the number 2,402,389?

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 2,402,389, 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 2,402,389
-1 -2,402,389

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 2,402,389.

Example:
1 x 2,402,389 = 2,402,389
and
-1 x -2,402,389 = 2,402,389
Notice both answers equal 2,402,389

With that explanation out of the way, let's continue. Next, we take the number 2,402,389 and divide it by 2:

2,402,389 ÷ 2 = 1,201,194.5

If the quotient is a whole number, then 2 and 1,201,194.5 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 2,402,389
-1 -2,402,389

Now, we try dividing 2,402,389 by 3:

2,402,389 ÷ 3 = 800,796.3333

If the quotient is a whole number, then 3 and 800,796.3333 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 2,402,389
-1 -2,402,389

Let's try dividing by 4:

2,402,389 ÷ 4 = 600,597.25

If the quotient is a whole number, then 4 and 600,597.25 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 2,402,389
-1 2,402,389
Keep dividing by the next highest number until you cannot divide anymore.

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

11117291873194434934,8735,4237,53112,84782,841141,317218,3992,402,389
-1-11-17-29-187-319-443-493-4,873-5,423-7,531-12,847-82,841-141,317-218,399-2,402,389

More Examples

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