Q: What are the factor combinations of the number 73,700,809?

 A:
Positive:   1 x 737008097 x 1052868713 x 566929323 x 320438391 x 809899161 x 457769299 x 246491529 x 1393211531 x 481392093 x 352133703 x 199036877 x 10717
Negative: -1 x -73700809-7 x -10528687-13 x -5669293-23 x -3204383-91 x -809899-161 x -457769-299 x -246491-529 x -139321-1531 x -48139-2093 x -35213-3703 x -19903-6877 x -10717


How do I find the factor combinations of the number 73,700,809?

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 73,700,809, 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 73,700,809
-1 -73,700,809

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 73,700,809.

Example:
1 x 73,700,809 = 73,700,809
and
-1 x -73,700,809 = 73,700,809
Notice both answers equal 73,700,809

With that explanation out of the way, let's continue. Next, we take the number 73,700,809 and divide it by 2:

73,700,809 ÷ 2 = 36,850,404.5

If the quotient is a whole number, then 2 and 36,850,404.5 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 73,700,809
-1 -73,700,809

Now, we try dividing 73,700,809 by 3:

73,700,809 ÷ 3 = 24,566,936.3333

If the quotient is a whole number, then 3 and 24,566,936.3333 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 73,700,809
-1 -73,700,809

Let's try dividing by 4:

73,700,809 ÷ 4 = 18,425,202.25

If the quotient is a whole number, then 4 and 18,425,202.25 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 73,700,809
-1 73,700,809
Keep dividing by the next highest number until you cannot divide anymore.

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

171323911612995291,5312,0933,7036,87710,71719,90335,21348,139139,321246,491457,769809,8993,204,3835,669,29310,528,68773,700,809
-1-7-13-23-91-161-299-529-1,531-2,093-3,703-6,877-10,717-19,903-35,213-48,139-139,321-246,491-457,769-809,899-3,204,383-5,669,293-10,528,687-73,700,809

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