Q: What are the factor combinations of the number 171,204,025?

 A:
Positive:   1 x 1712040255 x 3424080517 x 1007082525 x 684816185 x 2014165103 x 1662175425 x 402833515 x 3324351751 x 977752575 x 664873911 x 437758755 x 19555
Negative: -1 x -171204025-5 x -34240805-17 x -10070825-25 x -6848161-85 x -2014165-103 x -1662175-425 x -402833-515 x -332435-1751 x -97775-2575 x -66487-3911 x -43775-8755 x -19555


How do I find the factor combinations of the number 171,204,025?

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 171,204,025, 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.

1 171,204,025
-1 -171,204,025

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 171,204,025.

Example:
1 x 171,204,025 = 171,204,025
and
-1 x -171,204,025 = 171,204,025
Notice both answers equal 171,204,025

With that explanation out of the way, let's continue. Next, we take the number 171,204,025 and divide it by 2:

171,204,025 ÷ 2 = 85,602,012.5

If the quotient is a whole number, then 2 and 85,602,012.5 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:

1 171,204,025
-1 -171,204,025

Now, we try dividing 171,204,025 by 3:

171,204,025 ÷ 3 = 57,068,008.3333

If the quotient is a whole number, then 3 and 57,068,008.3333 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:

1 171,204,025
-1 -171,204,025

Let's try dividing by 4:

171,204,025 ÷ 4 = 42,801,006.25

If the quotient is a whole number, then 4 and 42,801,006.25 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:

1 171,204,025
-1 171,204,025
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851034255151,7512,5753,9118,75519,55543,77566,48797,775332,435402,8331,662,1752,014,1656,848,16110,070,82534,240,805171,204,025
-1-5-17-25-85-103-425-515-1,751-2,575-3,911-8,755-19,555-43,775-66,487-97,775-332,435-402,833-1,662,175-2,014,165-6,848,161-10,070,825-34,240,805-171,204,025

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