Q: What are the factor combinations of the number 1,508,845?

 A:
Positive:   1 x 15088455 x 30176913 x 11606565 x 23213139 x 10855167 x 9035695 x 2171835 x 1807
Negative: -1 x -1508845-5 x -301769-13 x -116065-65 x -23213-139 x -10855-167 x -9035-695 x -2171-835 x -1807


How do I find the factor combinations of the number 1,508,845?

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 1,508,845, 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 1,508,845
-1 -1,508,845

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 1,508,845.

Example:
1 x 1,508,845 = 1,508,845
and
-1 x -1,508,845 = 1,508,845
Notice both answers equal 1,508,845

With that explanation out of the way, let's continue. Next, we take the number 1,508,845 and divide it by 2:

1,508,845 ÷ 2 = 754,422.5

If the quotient is a whole number, then 2 and 754,422.5 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 1,508,845
-1 -1,508,845

Now, we try dividing 1,508,845 by 3:

1,508,845 ÷ 3 = 502,948.3333

If the quotient is a whole number, then 3 and 502,948.3333 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 1,508,845
-1 -1,508,845

Let's try dividing by 4:

1,508,845 ÷ 4 = 377,211.25

If the quotient is a whole number, then 4 and 377,211.25 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 1,508,845
-1 1,508,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651391676958351,8072,1719,03510,85523,213116,065301,7691,508,845
-1-5-13-65-139-167-695-835-1,807-2,171-9,035-10,855-23,213-116,065-301,769-1,508,845

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