Q: What are the factor combinations of the number 2,469,025?

 A:
Positive:   1 x 24690255 x 49380513 x 18992525 x 9876165 x 3798571 x 34775107 x 23075325 x 7597355 x 6955535 x 4615923 x 26751391 x 1775
Negative: -1 x -2469025-5 x -493805-13 x -189925-25 x -98761-65 x -37985-71 x -34775-107 x -23075-325 x -7597-355 x -6955-535 x -4615-923 x -2675-1391 x -1775


How do I find the factor combinations of the number 2,469,025?

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 2,469,025, 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 2,469,025
-1 -2,469,025

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 2,469,025.

Example:
1 x 2,469,025 = 2,469,025
and
-1 x -2,469,025 = 2,469,025
Notice both answers equal 2,469,025

With that explanation out of the way, let's continue. Next, we take the number 2,469,025 and divide it by 2:

2,469,025 ÷ 2 = 1,234,512.5

If the quotient is a whole number, then 2 and 1,234,512.5 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 2,469,025
-1 -2,469,025

Now, we try dividing 2,469,025 by 3:

2,469,025 ÷ 3 = 823,008.3333

If the quotient is a whole number, then 3 and 823,008.3333 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 2,469,025
-1 -2,469,025

Let's try dividing by 4:

2,469,025 ÷ 4 = 617,256.25

If the quotient is a whole number, then 4 and 617,256.25 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 2,469,025
-1 2,469,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15132565711073253555359231,3911,7752,6754,6156,9557,59723,07534,77537,98598,761189,925493,8052,469,025
-1-5-13-25-65-71-107-325-355-535-923-1,391-1,775-2,675-4,615-6,955-7,597-23,075-34,775-37,985-98,761-189,925-493,805-2,469,025

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