Q: What are the factor combinations of the number 2,499,155?

 A:
Positive:   1 x 24991555 x 49983141 x 6095573 x 34235167 x 14965205 x 12191365 x 6847835 x 2993
Negative: -1 x -2499155-5 x -499831-41 x -60955-73 x -34235-167 x -14965-205 x -12191-365 x -6847-835 x -2993


How do I find the factor combinations of the number 2,499,155?

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 2,499,155, 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 2,499,155
-1 -2,499,155

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 2,499,155.

Example:
1 x 2,499,155 = 2,499,155
and
-1 x -2,499,155 = 2,499,155
Notice both answers equal 2,499,155

With that explanation out of the way, let's continue. Next, we take the number 2,499,155 and divide it by 2:

2,499,155 ÷ 2 = 1,249,577.5

If the quotient is a whole number, then 2 and 1,249,577.5 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 2,499,155
-1 -2,499,155

Now, we try dividing 2,499,155 by 3:

2,499,155 ÷ 3 = 833,051.6667

If the quotient is a whole number, then 3 and 833,051.6667 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 2,499,155
-1 -2,499,155

Let's try dividing by 4:

2,499,155 ÷ 4 = 624,788.75

If the quotient is a whole number, then 4 and 624,788.75 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 2,499,155
-1 2,499,155
Keep dividing by the next highest number until you cannot divide anymore.

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

1541731672053658352,9936,84712,19114,96534,23560,955499,8312,499,155
-1-5-41-73-167-205-365-835-2,993-6,847-12,191-14,965-34,235-60,955-499,831-2,499,155

More Examples

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