Q: What are the factor combinations of the number 1,555,015?

 A:
Positive:   1 x 15550155 x 3110037 x 22214511 x 14136535 x 4442949 x 3173555 x 2827377 x 20195245 x 6347385 x 4039539 x 2885577 x 2695
Negative: -1 x -1555015-5 x -311003-7 x -222145-11 x -141365-35 x -44429-49 x -31735-55 x -28273-77 x -20195-245 x -6347-385 x -4039-539 x -2885-577 x -2695


How do I find the factor combinations of the number 1,555,015?

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 1,555,015, 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 1,555,015
-1 -1,555,015

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 1,555,015.

Example:
1 x 1,555,015 = 1,555,015
and
-1 x -1,555,015 = 1,555,015
Notice both answers equal 1,555,015

With that explanation out of the way, let's continue. Next, we take the number 1,555,015 and divide it by 2:

1,555,015 ÷ 2 = 777,507.5

If the quotient is a whole number, then 2 and 777,507.5 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 1,555,015
-1 -1,555,015

Now, we try dividing 1,555,015 by 3:

1,555,015 ÷ 3 = 518,338.3333

If the quotient is a whole number, then 3 and 518,338.3333 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 1,555,015
-1 -1,555,015

Let's try dividing by 4:

1,555,015 ÷ 4 = 388,753.75

If the quotient is a whole number, then 4 and 388,753.75 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 1,555,015
-1 1,555,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15711354955772453855395772,6952,8854,0396,34720,19528,27331,73544,429141,365222,145311,0031,555,015
-1-5-7-11-35-49-55-77-245-385-539-577-2,695-2,885-4,039-6,347-20,195-28,273-31,735-44,429-141,365-222,145-311,003-1,555,015

More Examples

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