Q: What are the factor combinations of the number 550,212,025?

 A:
Positive:   1 x 5502120255 x 11004240511 x 5001927525 x 2200848131 x 1774877555 x 10003855155 x 3549755233 x 2361425275 x 2000771277 x 1986325341 x 1613525775 x 7099511165 x 4722851385 x 3972651705 x 3227052563 x 2146753047 x 1805755825 x 944576925 x 794537223 x 761758525 x 645418587 x 6407512815 x 4293515235 x 36115
Negative: -1 x -550212025-5 x -110042405-11 x -50019275-25 x -22008481-31 x -17748775-55 x -10003855-155 x -3549755-233 x -2361425-275 x -2000771-277 x -1986325-341 x -1613525-775 x -709951-1165 x -472285-1385 x -397265-1705 x -322705-2563 x -214675-3047 x -180575-5825 x -94457-6925 x -79453-7223 x -76175-8525 x -64541-8587 x -64075-12815 x -42935-15235 x -36115


How do I find the factor combinations of the number 550,212,025?

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 550,212,025, 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.

1 550,212,025
-1 -550,212,025

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 550,212,025.

Example:
1 x 550,212,025 = 550,212,025
and
-1 x -550,212,025 = 550,212,025
Notice both answers equal 550,212,025

With that explanation out of the way, let's continue. Next, we take the number 550,212,025 and divide it by 2:

550,212,025 ÷ 2 = 275,106,012.5

If the quotient is a whole number, then 2 and 275,106,012.5 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:

1 550,212,025
-1 -550,212,025

Now, we try dividing 550,212,025 by 3:

550,212,025 ÷ 3 = 183,404,008.3333

If the quotient is a whole number, then 3 and 183,404,008.3333 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:

1 550,212,025
-1 -550,212,025

Let's try dividing by 4:

550,212,025 ÷ 4 = 137,553,006.25

If the quotient is a whole number, then 4 and 137,553,006.25 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:

1 550,212,025
-1 550,212,025
Keep dividing by the next highest number until you cannot divide anymore.

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

15112531551552332752773417751,1651,3851,7052,5633,0475,8256,9257,2238,5258,58712,81515,23536,11542,93564,07564,54176,17579,45394,457180,575214,675322,705397,265472,285709,9511,613,5251,986,3252,000,7712,361,4253,549,75510,003,85517,748,77522,008,48150,019,275110,042,405550,212,025
-1-5-11-25-31-55-155-233-275-277-341-775-1,165-1,385-1,705-2,563-3,047-5,825-6,925-7,223-8,525-8,587-12,815-15,235-36,115-42,935-64,075-64,541-76,175-79,453-94,457-180,575-214,675-322,705-397,265-472,285-709,951-1,613,525-1,986,325-2,000,771-2,361,425-3,549,755-10,003,855-17,748,775-22,008,481-50,019,275-110,042,405-550,212,025

More Examples

Here are some more numbers to try:

550,212,023550,212,024550,212,026550,212,027
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