Q: What are the factor combinations of the number 50,041,225?

 A:
Positive:   1 x 500412255 x 1000824513 x 384932525 x 200164965 x 769865107 x 467675325 x 153973535 x 935351391 x 359751439 x 347752675 x 187076955 x 7195
Negative: -1 x -50041225-5 x -10008245-13 x -3849325-25 x -2001649-65 x -769865-107 x -467675-325 x -153973-535 x -93535-1391 x -35975-1439 x -34775-2675 x -18707-6955 x -7195


How do I find the factor combinations of the number 50,041,225?

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 50,041,225, 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 50,041,225
-1 -50,041,225

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 50,041,225.

Example:
1 x 50,041,225 = 50,041,225
and
-1 x -50,041,225 = 50,041,225
Notice both answers equal 50,041,225

With that explanation out of the way, let's continue. Next, we take the number 50,041,225 and divide it by 2:

50,041,225 ÷ 2 = 25,020,612.5

If the quotient is a whole number, then 2 and 25,020,612.5 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 50,041,225
-1 -50,041,225

Now, we try dividing 50,041,225 by 3:

50,041,225 ÷ 3 = 16,680,408.3333

If the quotient is a whole number, then 3 and 16,680,408.3333 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 50,041,225
-1 -50,041,225

Let's try dividing by 4:

50,041,225 ÷ 4 = 12,510,306.25

If the quotient is a whole number, then 4 and 12,510,306.25 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 50,041,225
-1 50,041,225
Keep dividing by the next highest number until you cannot divide anymore.

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

151325651073255351,3911,4392,6756,9557,19518,70734,77535,97593,535153,973467,675769,8652,001,6493,849,32510,008,24550,041,225
-1-5-13-25-65-107-325-535-1,391-1,439-2,675-6,955-7,195-18,707-34,775-35,975-93,535-153,973-467,675-769,865-2,001,649-3,849,325-10,008,245-50,041,225

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