Q: What are the factor combinations of the number 72,771,437?

 A:
Positive:   1 x 7277143743 x 169235973 x 99686997 x 750221239 x 3044833139 x 231834171 x 174477081 x 10277
Negative: -1 x -72771437-43 x -1692359-73 x -996869-97 x -750221-239 x -304483-3139 x -23183-4171 x -17447-7081 x -10277


How do I find the factor combinations of the number 72,771,437?

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 72,771,437, 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 72,771,437
-1 -72,771,437

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 72,771,437.

Example:
1 x 72,771,437 = 72,771,437
and
-1 x -72,771,437 = 72,771,437
Notice both answers equal 72,771,437

With that explanation out of the way, let's continue. Next, we take the number 72,771,437 and divide it by 2:

72,771,437 ÷ 2 = 36,385,718.5

If the quotient is a whole number, then 2 and 36,385,718.5 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 72,771,437
-1 -72,771,437

Now, we try dividing 72,771,437 by 3:

72,771,437 ÷ 3 = 24,257,145.6667

If the quotient is a whole number, then 3 and 24,257,145.6667 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 72,771,437
-1 -72,771,437

Let's try dividing by 4:

72,771,437 ÷ 4 = 18,192,859.25

If the quotient is a whole number, then 4 and 18,192,859.25 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 72,771,437
-1 72,771,437
Keep dividing by the next highest number until you cannot divide anymore.

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

14373972393,1394,1717,08110,27717,44723,183304,483750,221996,8691,692,35972,771,437
-1-43-73-97-239-3,139-4,171-7,081-10,277-17,447-23,183-304,483-750,221-996,869-1,692,359-72,771,437

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 72,771,437:


Ask a Question