Q: What are the factor combinations of the number 4,821,025?

 A:
Positive:   1 x 48210255 x 96420511 x 43827525 x 19284147 x 10257555 x 87655235 x 20515275 x 17531373 x 12925517 x 93251175 x 41031865 x 2585
Negative: -1 x -4821025-5 x -964205-11 x -438275-25 x -192841-47 x -102575-55 x -87655-235 x -20515-275 x -17531-373 x -12925-517 x -9325-1175 x -4103-1865 x -2585


How do I find the factor combinations of the number 4,821,025?

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 4,821,025, 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 4,821,025
-1 -4,821,025

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 4,821,025.

Example:
1 x 4,821,025 = 4,821,025
and
-1 x -4,821,025 = 4,821,025
Notice both answers equal 4,821,025

With that explanation out of the way, let's continue. Next, we take the number 4,821,025 and divide it by 2:

4,821,025 ÷ 2 = 2,410,512.5

If the quotient is a whole number, then 2 and 2,410,512.5 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 4,821,025
-1 -4,821,025

Now, we try dividing 4,821,025 by 3:

4,821,025 ÷ 3 = 1,607,008.3333

If the quotient is a whole number, then 3 and 1,607,008.3333 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 4,821,025
-1 -4,821,025

Let's try dividing by 4:

4,821,025 ÷ 4 = 1,205,256.25

If the quotient is a whole number, then 4 and 1,205,256.25 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 4,821,025
-1 4,821,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15112547552352753735171,1751,8652,5854,1039,32512,92517,53120,51587,655102,575192,841438,275964,2054,821,025
-1-5-11-25-47-55-235-275-373-517-1,175-1,865-2,585-4,103-9,325-12,925-17,531-20,515-87,655-102,575-192,841-438,275-964,205-4,821,025

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