Q: What are the factor combinations of the number 72,421,433?

 A:
Positive:   1 x 724214337 x 1034591979 x 916727173 x 418621553 x 130961757 x 956691211 x 598035299 x 13667
Negative: -1 x -72421433-7 x -10345919-79 x -916727-173 x -418621-553 x -130961-757 x -95669-1211 x -59803-5299 x -13667


How do I find the factor combinations of the number 72,421,433?

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 72,421,433, 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 72,421,433
-1 -72,421,433

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 72,421,433.

Example:
1 x 72,421,433 = 72,421,433
and
-1 x -72,421,433 = 72,421,433
Notice both answers equal 72,421,433

With that explanation out of the way, let's continue. Next, we take the number 72,421,433 and divide it by 2:

72,421,433 ÷ 2 = 36,210,716.5

If the quotient is a whole number, then 2 and 36,210,716.5 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 72,421,433
-1 -72,421,433

Now, we try dividing 72,421,433 by 3:

72,421,433 ÷ 3 = 24,140,477.6667

If the quotient is a whole number, then 3 and 24,140,477.6667 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 72,421,433
-1 -72,421,433

Let's try dividing by 4:

72,421,433 ÷ 4 = 18,105,358.25

If the quotient is a whole number, then 4 and 18,105,358.25 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 72,421,433
-1 72,421,433
Keep dividing by the next highest number until you cannot divide anymore.

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

17791735537571,2115,29913,66759,80395,669130,961418,621916,72710,345,91972,421,433
-1-7-79-173-553-757-1,211-5,299-13,667-59,803-95,669-130,961-418,621-916,727-10,345,919-72,421,433

More Examples

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