Q: What are the factor combinations of the number 12,536,436?

 A:
Positive:   1 x 125364362 x 62682183 x 41788124 x 31341096 x 208940611 x 113967612 x 104470322 x 56983833 x 37989244 x 28491966 x 18994673 x 171732132 x 94973146 x 85866219 x 57244292 x 42933438 x 28622803 x 15612876 x 143111301 x 96361606 x 78062409 x 52042602 x 48183212 x 3903
Negative: -1 x -12536436-2 x -6268218-3 x -4178812-4 x -3134109-6 x -2089406-11 x -1139676-12 x -1044703-22 x -569838-33 x -379892-44 x -284919-66 x -189946-73 x -171732-132 x -94973-146 x -85866-219 x -57244-292 x -42933-438 x -28622-803 x -15612-876 x -14311-1301 x -9636-1606 x -7806-2409 x -5204-2602 x -4818-3212 x -3903


How do I find the factor combinations of the number 12,536,436?

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 12,536,436, 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 12,536,436
-1 -12,536,436

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 12,536,436.

Example:
1 x 12,536,436 = 12,536,436
and
-1 x -12,536,436 = 12,536,436
Notice both answers equal 12,536,436

With that explanation out of the way, let's continue. Next, we take the number 12,536,436 and divide it by 2:

12,536,436 ÷ 2 = 6,268,218

If the quotient is a whole number, then 2 and 6,268,218 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 6,268,218 12,536,436
-1 -2 -6,268,218 -12,536,436

Now, we try dividing 12,536,436 by 3:

12,536,436 ÷ 3 = 4,178,812

If the quotient is a whole number, then 3 and 4,178,812 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 4,178,812 6,268,218 12,536,436
-1 -2 -3 -4,178,812 -6,268,218 -12,536,436

Let's try dividing by 4:

12,536,436 ÷ 4 = 3,134,109

If the quotient is a whole number, then 4 and 3,134,109 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 3,134,109 4,178,812 6,268,218 12,536,436
-1 -2 -3 -4 -3,134,109 -4,178,812 -6,268,218 12,536,436
Keep dividing by the next highest number until you cannot divide anymore.

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

12346111222334466731321462192924388038761,3011,6062,4092,6023,2123,9034,8185,2047,8069,63614,31115,61228,62242,93357,24485,86694,973171,732189,946284,919379,892569,8381,044,7031,139,6762,089,4063,134,1094,178,8126,268,21812,536,436
-1-2-3-4-6-11-12-22-33-44-66-73-132-146-219-292-438-803-876-1,301-1,606-2,409-2,602-3,212-3,903-4,818-5,204-7,806-9,636-14,311-15,612-28,622-42,933-57,244-85,866-94,973-171,732-189,946-284,919-379,892-569,838-1,044,703-1,139,676-2,089,406-3,134,109-4,178,812-6,268,218-12,536,436

More Examples

Here are some more numbers to try:

12,536,43412,536,43512,536,43712,536,438
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