Q: What are the factor combinations of the number 72,522,107?

 A:
Positive:   1 x 725221077 x 1036030119 x 381695349 x 148004361 x 1188887133 x 545279427 x 169841931 x 778971159 x 625731277 x 567912989 x 242638113 x 8939
Negative: -1 x -72522107-7 x -10360301-19 x -3816953-49 x -1480043-61 x -1188887-133 x -545279-427 x -169841-931 x -77897-1159 x -62573-1277 x -56791-2989 x -24263-8113 x -8939


How do I find the factor combinations of the number 72,522,107?

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 72,522,107, 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 72,522,107
-1 -72,522,107

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 72,522,107.

Example:
1 x 72,522,107 = 72,522,107
and
-1 x -72,522,107 = 72,522,107
Notice both answers equal 72,522,107

With that explanation out of the way, let's continue. Next, we take the number 72,522,107 and divide it by 2:

72,522,107 ÷ 2 = 36,261,053.5

If the quotient is a whole number, then 2 and 36,261,053.5 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 72,522,107
-1 -72,522,107

Now, we try dividing 72,522,107 by 3:

72,522,107 ÷ 3 = 24,174,035.6667

If the quotient is a whole number, then 3 and 24,174,035.6667 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 72,522,107
-1 -72,522,107

Let's try dividing by 4:

72,522,107 ÷ 4 = 18,130,526.75

If the quotient is a whole number, then 4 and 18,130,526.75 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 72,522,107
-1 72,522,107
Keep dividing by the next highest number until you cannot divide anymore.

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

171949611334279311,1591,2772,9898,1138,93924,26356,79162,57377,897169,841545,2791,188,8871,480,0433,816,95310,360,30172,522,107
-1-7-19-49-61-133-427-931-1,159-1,277-2,989-8,113-8,939-24,263-56,791-62,573-77,897-169,841-545,279-1,188,887-1,480,043-3,816,953-10,360,301-72,522,107

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