Q: What are the factor combinations of the number 5,025,025?

 A:
Positive:   1 x 50250255 x 100500519 x 26447525 x 20100171 x 7077595 x 52895149 x 33725355 x 14155475 x 10579745 x 67451349 x 37251775 x 2831
Negative: -1 x -5025025-5 x -1005005-19 x -264475-25 x -201001-71 x -70775-95 x -52895-149 x -33725-355 x -14155-475 x -10579-745 x -6745-1349 x -3725-1775 x -2831


How do I find the factor combinations of the number 5,025,025?

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 5,025,025, 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 5,025,025
-1 -5,025,025

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 5,025,025.

Example:
1 x 5,025,025 = 5,025,025
and
-1 x -5,025,025 = 5,025,025
Notice both answers equal 5,025,025

With that explanation out of the way, let's continue. Next, we take the number 5,025,025 and divide it by 2:

5,025,025 ÷ 2 = 2,512,512.5

If the quotient is a whole number, then 2 and 2,512,512.5 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 5,025,025
-1 -5,025,025

Now, we try dividing 5,025,025 by 3:

5,025,025 ÷ 3 = 1,675,008.3333

If the quotient is a whole number, then 3 and 1,675,008.3333 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 5,025,025
-1 -5,025,025

Let's try dividing by 4:

5,025,025 ÷ 4 = 1,256,256.25

If the quotient is a whole number, then 4 and 1,256,256.25 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 5,025,025
-1 5,025,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15192571951493554757451,3491,7752,8313,7256,74510,57914,15533,72552,89570,775201,001264,4751,005,0055,025,025
-1-5-19-25-71-95-149-355-475-745-1,349-1,775-2,831-3,725-6,745-10,579-14,155-33,725-52,895-70,775-201,001-264,475-1,005,005-5,025,025

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