Q: What are the factor combinations of the number 50,245,025?

 A:
Positive:   1 x 502450255 x 1004900519 x 264447525 x 200980195 x 528895139 x 361475475 x 105779695 x 72295761 x 660252641 x 190253475 x 144593805 x 13205
Negative: -1 x -50245025-5 x -10049005-19 x -2644475-25 x -2009801-95 x -528895-139 x -361475-475 x -105779-695 x -72295-761 x -66025-2641 x -19025-3475 x -14459-3805 x -13205


How do I find the factor combinations of the number 50,245,025?

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 50,245,025, 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 50,245,025
-1 -50,245,025

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 50,245,025.

Example:
1 x 50,245,025 = 50,245,025
and
-1 x -50,245,025 = 50,245,025
Notice both answers equal 50,245,025

With that explanation out of the way, let's continue. Next, we take the number 50,245,025 and divide it by 2:

50,245,025 ÷ 2 = 25,122,512.5

If the quotient is a whole number, then 2 and 25,122,512.5 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 50,245,025
-1 -50,245,025

Now, we try dividing 50,245,025 by 3:

50,245,025 ÷ 3 = 16,748,341.6667

If the quotient is a whole number, then 3 and 16,748,341.6667 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 50,245,025
-1 -50,245,025

Let's try dividing by 4:

50,245,025 ÷ 4 = 12,561,256.25

If the quotient is a whole number, then 4 and 12,561,256.25 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 50,245,025
-1 50,245,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151925951394756957612,6413,4753,80513,20514,45919,02566,02572,295105,779361,475528,8952,009,8012,644,47510,049,00550,245,025
-1-5-19-25-95-139-475-695-761-2,641-3,475-3,805-13,205-14,459-19,025-66,025-72,295-105,779-361,475-528,895-2,009,801-2,644,475-10,049,005-50,245,025

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