Q: What are the factor combinations of the number 72,151,739?

 A:
Positive:   1 x 7215173911 x 655924929 x 248799137 x 1950047319 x 226181407 x 1772771073 x 672436113 x 11803
Negative: -1 x -72151739-11 x -6559249-29 x -2487991-37 x -1950047-319 x -226181-407 x -177277-1073 x -67243-6113 x -11803


How do I find the factor combinations of the number 72,151,739?

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 72,151,739, 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 72,151,739
-1 -72,151,739

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 72,151,739.

Example:
1 x 72,151,739 = 72,151,739
and
-1 x -72,151,739 = 72,151,739
Notice both answers equal 72,151,739

With that explanation out of the way, let's continue. Next, we take the number 72,151,739 and divide it by 2:

72,151,739 ÷ 2 = 36,075,869.5

If the quotient is a whole number, then 2 and 36,075,869.5 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 72,151,739
-1 -72,151,739

Now, we try dividing 72,151,739 by 3:

72,151,739 ÷ 3 = 24,050,579.6667

If the quotient is a whole number, then 3 and 24,050,579.6667 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 72,151,739
-1 -72,151,739

Let's try dividing by 4:

72,151,739 ÷ 4 = 18,037,934.75

If the quotient is a whole number, then 4 and 18,037,934.75 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 72,151,739
-1 72,151,739
Keep dividing by the next highest number until you cannot divide anymore.

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

11129373194071,0736,11311,80367,243177,277226,1811,950,0472,487,9916,559,24972,151,739
-1-11-29-37-319-407-1,073-6,113-11,803-67,243-177,277-226,181-1,950,047-2,487,991-6,559,249-72,151,739

More Examples

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