Q: What are the factor combinations of the number 171,642,815?

 A:
Positive:   1 x 1716428155 x 3432856331 x 553686537 x 4638995155 x 1107373173 x 992155185 x 927799865 x 1984311147 x 1496455363 x 320055735 x 299296401 x 26815
Negative: -1 x -171642815-5 x -34328563-31 x -5536865-37 x -4638995-155 x -1107373-173 x -992155-185 x -927799-865 x -198431-1147 x -149645-5363 x -32005-5735 x -29929-6401 x -26815


How do I find the factor combinations of the number 171,642,815?

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 171,642,815, 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.

1 171,642,815
-1 -171,642,815

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 171,642,815.

Example:
1 x 171,642,815 = 171,642,815
and
-1 x -171,642,815 = 171,642,815
Notice both answers equal 171,642,815

With that explanation out of the way, let's continue. Next, we take the number 171,642,815 and divide it by 2:

171,642,815 ÷ 2 = 85,821,407.5

If the quotient is a whole number, then 2 and 85,821,407.5 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:

1 171,642,815
-1 -171,642,815

Now, we try dividing 171,642,815 by 3:

171,642,815 ÷ 3 = 57,214,271.6667

If the quotient is a whole number, then 3 and 57,214,271.6667 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:

1 171,642,815
-1 -171,642,815

Let's try dividing by 4:

171,642,815 ÷ 4 = 42,910,703.75

If the quotient is a whole number, then 4 and 42,910,703.75 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:

1 171,642,815
-1 171,642,815
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551731858651,1475,3635,7356,40126,81529,92932,005149,645198,431927,799992,1551,107,3734,638,9955,536,86534,328,563171,642,815
-1-5-31-37-155-173-185-865-1,147-5,363-5,735-6,401-26,815-29,929-32,005-149,645-198,431-927,799-992,155-1,107,373-4,638,995-5,536,865-34,328,563-171,642,815

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