Q: What are the factor combinations of the number 15,065,105?

 A:
Positive:   1 x 150651055 x 301302111 x 136955537 x 40716555 x 273911121 x 124505185 x 81433407 x 37015605 x 24901673 x 223852035 x 74033365 x 4477
Negative: -1 x -15065105-5 x -3013021-11 x -1369555-37 x -407165-55 x -273911-121 x -124505-185 x -81433-407 x -37015-605 x -24901-673 x -22385-2035 x -7403-3365 x -4477


How do I find the factor combinations of the number 15,065,105?

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 15,065,105, 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 15,065,105
-1 -15,065,105

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 15,065,105.

Example:
1 x 15,065,105 = 15,065,105
and
-1 x -15,065,105 = 15,065,105
Notice both answers equal 15,065,105

With that explanation out of the way, let's continue. Next, we take the number 15,065,105 and divide it by 2:

15,065,105 ÷ 2 = 7,532,552.5

If the quotient is a whole number, then 2 and 7,532,552.5 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 15,065,105
-1 -15,065,105

Now, we try dividing 15,065,105 by 3:

15,065,105 ÷ 3 = 5,021,701.6667

If the quotient is a whole number, then 3 and 5,021,701.6667 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 15,065,105
-1 -15,065,105

Let's try dividing by 4:

15,065,105 ÷ 4 = 3,766,276.25

If the quotient is a whole number, then 4 and 3,766,276.25 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 15,065,105
-1 15,065,105
Keep dividing by the next highest number until you cannot divide anymore.

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

151137551211854076056732,0353,3654,4777,40322,38524,90137,01581,433124,505273,911407,1651,369,5553,013,02115,065,105
-1-5-11-37-55-121-185-407-605-673-2,035-3,365-4,477-7,403-22,385-24,901-37,015-81,433-124,505-273,911-407,165-1,369,555-3,013,021-15,065,105

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