Q: What are the factor combinations of the number 25,054,015?

 A:
Positive:   1 x 250540155 x 50108037 x 357914523 x 108930535 x 715829115 x 217861161 x 155615805 x 31123
Negative: -1 x -25054015-5 x -5010803-7 x -3579145-23 x -1089305-35 x -715829-115 x -217861-161 x -155615-805 x -31123


How do I find the factor combinations of the number 25,054,015?

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 25,054,015, 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 25,054,015
-1 -25,054,015

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 25,054,015.

Example:
1 x 25,054,015 = 25,054,015
and
-1 x -25,054,015 = 25,054,015
Notice both answers equal 25,054,015

With that explanation out of the way, let's continue. Next, we take the number 25,054,015 and divide it by 2:

25,054,015 ÷ 2 = 12,527,007.5

If the quotient is a whole number, then 2 and 12,527,007.5 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 25,054,015
-1 -25,054,015

Now, we try dividing 25,054,015 by 3:

25,054,015 ÷ 3 = 8,351,338.3333

If the quotient is a whole number, then 3 and 8,351,338.3333 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 25,054,015
-1 -25,054,015

Let's try dividing by 4:

25,054,015 ÷ 4 = 6,263,503.75

If the quotient is a whole number, then 4 and 6,263,503.75 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 25,054,015
-1 25,054,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157233511516180531,123155,615217,861715,8291,089,3053,579,1455,010,80325,054,015
-1-5-7-23-35-115-161-805-31,123-155,615-217,861-715,829-1,089,305-3,579,145-5,010,803-25,054,015

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