Q: What are the factor combinations of the number 7,137,025?

 A:
Positive:   1 x 71370255 x 14274057 x 101957517 x 41982525 x 28548135 x 20391585 x 83965119 x 59975175 x 40783425 x 16793595 x 119952399 x 2975
Negative: -1 x -7137025-5 x -1427405-7 x -1019575-17 x -419825-25 x -285481-35 x -203915-85 x -83965-119 x -59975-175 x -40783-425 x -16793-595 x -11995-2399 x -2975


How do I find the factor combinations of the number 7,137,025?

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 7,137,025, 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 7,137,025
-1 -7,137,025

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 7,137,025.

Example:
1 x 7,137,025 = 7,137,025
and
-1 x -7,137,025 = 7,137,025
Notice both answers equal 7,137,025

With that explanation out of the way, let's continue. Next, we take the number 7,137,025 and divide it by 2:

7,137,025 ÷ 2 = 3,568,512.5

If the quotient is a whole number, then 2 and 3,568,512.5 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 7,137,025
-1 -7,137,025

Now, we try dividing 7,137,025 by 3:

7,137,025 ÷ 3 = 2,379,008.3333

If the quotient is a whole number, then 3 and 2,379,008.3333 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 7,137,025
-1 -7,137,025

Let's try dividing by 4:

7,137,025 ÷ 4 = 1,784,256.25

If the quotient is a whole number, then 4 and 1,784,256.25 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 7,137,025
-1 7,137,025
Keep dividing by the next highest number until you cannot divide anymore.

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

157172535851191754255952,3992,97511,99516,79340,78359,97583,965203,915285,481419,8251,019,5751,427,4057,137,025
-1-5-7-17-25-35-85-119-175-425-595-2,399-2,975-11,995-16,793-40,783-59,975-83,965-203,915-285,481-419,825-1,019,575-1,427,405-7,137,025

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