Q: What are the factor combinations of the number 15,820,145?

 A:
Positive:   1 x 158201455 x 316402911 x 143819555 x 28763979 x 200255121 x 130745331 x 47795395 x 40051605 x 26149869 x 182051655 x 95593641 x 4345
Negative: -1 x -15820145-5 x -3164029-11 x -1438195-55 x -287639-79 x -200255-121 x -130745-331 x -47795-395 x -40051-605 x -26149-869 x -18205-1655 x -9559-3641 x -4345


How do I find the factor combinations of the number 15,820,145?

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 15,820,145, 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 15,820,145
-1 -15,820,145

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 15,820,145.

Example:
1 x 15,820,145 = 15,820,145
and
-1 x -15,820,145 = 15,820,145
Notice both answers equal 15,820,145

With that explanation out of the way, let's continue. Next, we take the number 15,820,145 and divide it by 2:

15,820,145 ÷ 2 = 7,910,072.5

If the quotient is a whole number, then 2 and 7,910,072.5 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 15,820,145
-1 -15,820,145

Now, we try dividing 15,820,145 by 3:

15,820,145 ÷ 3 = 5,273,381.6667

If the quotient is a whole number, then 3 and 5,273,381.6667 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 15,820,145
-1 -15,820,145

Let's try dividing by 4:

15,820,145 ÷ 4 = 3,955,036.25

If the quotient is a whole number, then 4 and 3,955,036.25 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 15,820,145
-1 15,820,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151155791213313956058691,6553,6414,3459,55918,20526,14940,05147,795130,745200,255287,6391,438,1953,164,02915,820,145
-1-5-11-55-79-121-331-395-605-869-1,655-3,641-4,345-9,559-18,205-26,149-40,051-47,795-130,745-200,255-287,639-1,438,195-3,164,029-15,820,145

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