Q: What are the factor combinations of the number 54,252,025?

 A:
Positive:   1 x 542520255 x 1085040525 x 217008143 x 1261675109 x 497725215 x 252335463 x 117175545 x 995451075 x 504672315 x 234352725 x 199094687 x 11575
Negative: -1 x -54252025-5 x -10850405-25 x -2170081-43 x -1261675-109 x -497725-215 x -252335-463 x -117175-545 x -99545-1075 x -50467-2315 x -23435-2725 x -19909-4687 x -11575


How do I find the factor combinations of the number 54,252,025?

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 54,252,025, 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 54,252,025
-1 -54,252,025

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 54,252,025.

Example:
1 x 54,252,025 = 54,252,025
and
-1 x -54,252,025 = 54,252,025
Notice both answers equal 54,252,025

With that explanation out of the way, let's continue. Next, we take the number 54,252,025 and divide it by 2:

54,252,025 ÷ 2 = 27,126,012.5

If the quotient is a whole number, then 2 and 27,126,012.5 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 54,252,025
-1 -54,252,025

Now, we try dividing 54,252,025 by 3:

54,252,025 ÷ 3 = 18,084,008.3333

If the quotient is a whole number, then 3 and 18,084,008.3333 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 54,252,025
-1 -54,252,025

Let's try dividing by 4:

54,252,025 ÷ 4 = 13,563,006.25

If the quotient is a whole number, then 4 and 13,563,006.25 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 54,252,025
-1 54,252,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431092154635451,0752,3152,7254,68711,57519,90923,43550,46799,545117,175252,335497,7251,261,6752,170,08110,850,40554,252,025
-1-5-25-43-109-215-463-545-1,075-2,315-2,725-4,687-11,575-19,909-23,435-50,467-99,545-117,175-252,335-497,725-1,261,675-2,170,081-10,850,405-54,252,025

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