Q: What are the factor combinations of the number 2,504,015?

 A:
Positive:   1 x 25040155 x 50080317 x 14729585 x 2945989 x 28135331 x 7565445 x 56271513 x 1655
Negative: -1 x -2504015-5 x -500803-17 x -147295-85 x -29459-89 x -28135-331 x -7565-445 x -5627-1513 x -1655


How do I find the factor combinations of the number 2,504,015?

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 2,504,015, 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 2,504,015
-1 -2,504,015

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 2,504,015.

Example:
1 x 2,504,015 = 2,504,015
and
-1 x -2,504,015 = 2,504,015
Notice both answers equal 2,504,015

With that explanation out of the way, let's continue. Next, we take the number 2,504,015 and divide it by 2:

2,504,015 ÷ 2 = 1,252,007.5

If the quotient is a whole number, then 2 and 1,252,007.5 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 2,504,015
-1 -2,504,015

Now, we try dividing 2,504,015 by 3:

2,504,015 ÷ 3 = 834,671.6667

If the quotient is a whole number, then 3 and 834,671.6667 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 2,504,015
-1 -2,504,015

Let's try dividing by 4:

2,504,015 ÷ 4 = 626,003.75

If the quotient is a whole number, then 4 and 626,003.75 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 2,504,015
-1 2,504,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151785893314451,5131,6555,6277,56528,13529,459147,295500,8032,504,015
-1-5-17-85-89-331-445-1,513-1,655-5,627-7,565-28,135-29,459-147,295-500,803-2,504,015

More Examples

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