Q: What are the factor combinations of the number 36,588,624?

 A:
Positive:   1 x 365886242 x 182943123 x 121962084 x 91471566 x 60981048 x 457357812 x 304905216 x 228678917 x 215227224 x 152452634 x 107613648 x 76226351 x 71742468 x 538068102 x 358712136 x 269034204 x 179356272 x 134517408 x 89678816 x 44839
Negative: -1 x -36588624-2 x -18294312-3 x -12196208-4 x -9147156-6 x -6098104-8 x -4573578-12 x -3049052-16 x -2286789-17 x -2152272-24 x -1524526-34 x -1076136-48 x -762263-51 x -717424-68 x -538068-102 x -358712-136 x -269034-204 x -179356-272 x -134517-408 x -89678-816 x -44839


How do I find the factor combinations of the number 36,588,624?

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 36,588,624, 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 36,588,624
-1 -36,588,624

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 36,588,624.

Example:
1 x 36,588,624 = 36,588,624
and
-1 x -36,588,624 = 36,588,624
Notice both answers equal 36,588,624

With that explanation out of the way, let's continue. Next, we take the number 36,588,624 and divide it by 2:

36,588,624 ÷ 2 = 18,294,312

If the quotient is a whole number, then 2 and 18,294,312 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 18,294,312 36,588,624
-1 -2 -18,294,312 -36,588,624

Now, we try dividing 36,588,624 by 3:

36,588,624 ÷ 3 = 12,196,208

If the quotient is a whole number, then 3 and 12,196,208 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 12,196,208 18,294,312 36,588,624
-1 -2 -3 -12,196,208 -18,294,312 -36,588,624

Let's try dividing by 4:

36,588,624 ÷ 4 = 9,147,156

If the quotient is a whole number, then 4 and 9,147,156 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 4 9,147,156 12,196,208 18,294,312 36,588,624
-1 -2 -3 -4 -9,147,156 -12,196,208 -18,294,312 36,588,624
Keep dividing by the next highest number until you cannot divide anymore.

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

123468121617243448516810213620427240881644,83989,678134,517179,356269,034358,712538,068717,424762,2631,076,1361,524,5262,152,2722,286,7893,049,0524,573,5786,098,1049,147,15612,196,20818,294,31236,588,624
-1-2-3-4-6-8-12-16-17-24-34-48-51-68-102-136-204-272-408-816-44,839-89,678-134,517-179,356-269,034-358,712-538,068-717,424-762,263-1,076,136-1,524,526-2,152,272-2,286,789-3,049,052-4,573,578-6,098,104-9,147,156-12,196,208-18,294,312-36,588,624

More Examples

Here are some more numbers to try:

36,588,62236,588,62336,588,62536,588,626
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