Q: What are the factor combinations of the number 73,308,762?

 A:
Positive:   1 x 733087622 x 366543813 x 244362546 x 122181279 x 814541818 x 4072709
Negative: -1 x -73308762-2 x -36654381-3 x -24436254-6 x -12218127-9 x -8145418-18 x -4072709


How do I find the factor combinations of the number 73,308,762?

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 73,308,762, 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 73,308,762
-1 -73,308,762

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 73,308,762.

Example:
1 x 73,308,762 = 73,308,762
and
-1 x -73,308,762 = 73,308,762
Notice both answers equal 73,308,762

With that explanation out of the way, let's continue. Next, we take the number 73,308,762 and divide it by 2:

73,308,762 ÷ 2 = 36,654,381

If the quotient is a whole number, then 2 and 36,654,381 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 36,654,381 73,308,762
-1 -2 -36,654,381 -73,308,762

Now, we try dividing 73,308,762 by 3:

73,308,762 ÷ 3 = 24,436,254

If the quotient is a whole number, then 3 and 24,436,254 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 24,436,254 36,654,381 73,308,762
-1 -2 -3 -24,436,254 -36,654,381 -73,308,762

Let's try dividing by 4:

73,308,762 ÷ 4 = 18,327,190.5

If the quotient is a whole number, then 4 and 18,327,190.5 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 2 3 24,436,254 36,654,381 73,308,762
-1 -2 -3 -24,436,254 -36,654,381 73,308,762
Keep dividing by the next highest number until you cannot divide anymore.

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

12369184,072,7098,145,41812,218,12724,436,25436,654,38173,308,762
-1-2-3-6-9-18-4,072,709-8,145,418-12,218,127-24,436,254-36,654,381-73,308,762

More Examples

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