Q: What are the factor combinations of the number 1,555,115?

 A:
Positive:   1 x 15551155 x 31102331 x 5016579 x 19685127 x 12245155 x 10033395 x 3937635 x 2449
Negative: -1 x -1555115-5 x -311023-31 x -50165-79 x -19685-127 x -12245-155 x -10033-395 x -3937-635 x -2449


How do I find the factor combinations of the number 1,555,115?

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 1,555,115, 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 1,555,115
-1 -1,555,115

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 1,555,115.

Example:
1 x 1,555,115 = 1,555,115
and
-1 x -1,555,115 = 1,555,115
Notice both answers equal 1,555,115

With that explanation out of the way, let's continue. Next, we take the number 1,555,115 and divide it by 2:

1,555,115 ÷ 2 = 777,557.5

If the quotient is a whole number, then 2 and 777,557.5 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 1,555,115
-1 -1,555,115

Now, we try dividing 1,555,115 by 3:

1,555,115 ÷ 3 = 518,371.6667

If the quotient is a whole number, then 3 and 518,371.6667 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 1,555,115
-1 -1,555,115

Let's try dividing by 4:

1,555,115 ÷ 4 = 388,778.75

If the quotient is a whole number, then 4 and 388,778.75 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 1,555,115
-1 1,555,115
Keep dividing by the next highest number until you cannot divide anymore.

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

1531791271553956352,4493,93710,03312,24519,68550,165311,0231,555,115
-1-5-31-79-127-155-395-635-2,449-3,937-10,033-12,245-19,685-50,165-311,023-1,555,115

More Examples

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