Q: What are the factor combinations of the number 12,420,527?

 A:
Positive:   1 x 124205277 x 177436167 x 18538171 x 174937373 x 33299469 x 26483497 x 249912611 x 4757
Negative: -1 x -12420527-7 x -1774361-67 x -185381-71 x -174937-373 x -33299-469 x -26483-497 x -24991-2611 x -4757


How do I find the factor combinations of the number 12,420,527?

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 12,420,527, 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 12,420,527
-1 -12,420,527

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 12,420,527.

Example:
1 x 12,420,527 = 12,420,527
and
-1 x -12,420,527 = 12,420,527
Notice both answers equal 12,420,527

With that explanation out of the way, let's continue. Next, we take the number 12,420,527 and divide it by 2:

12,420,527 ÷ 2 = 6,210,263.5

If the quotient is a whole number, then 2 and 6,210,263.5 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 12,420,527
-1 -12,420,527

Now, we try dividing 12,420,527 by 3:

12,420,527 ÷ 3 = 4,140,175.6667

If the quotient is a whole number, then 3 and 4,140,175.6667 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 12,420,527
-1 -12,420,527

Let's try dividing by 4:

12,420,527 ÷ 4 = 3,105,131.75

If the quotient is a whole number, then 4 and 3,105,131.75 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 12,420,527
-1 12,420,527
Keep dividing by the next highest number until you cannot divide anymore.

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

1767713734694972,6114,75724,99126,48333,299174,937185,3811,774,36112,420,527
-1-7-67-71-373-469-497-2,611-4,757-24,991-26,483-33,299-174,937-185,381-1,774,361-12,420,527

More Examples

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