Q: What are the factor combinations of the number 1,508,155?

 A:
Positive:   1 x 15081555 x 30163111 x 13710517 x 8871555 x 2742185 x 17743187 x 8065935 x 1613
Negative: -1 x -1508155-5 x -301631-11 x -137105-17 x -88715-55 x -27421-85 x -17743-187 x -8065-935 x -1613


How do I find the factor combinations of the number 1,508,155?

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 1,508,155, 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 1,508,155
-1 -1,508,155

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 1,508,155.

Example:
1 x 1,508,155 = 1,508,155
and
-1 x -1,508,155 = 1,508,155
Notice both answers equal 1,508,155

With that explanation out of the way, let's continue. Next, we take the number 1,508,155 and divide it by 2:

1,508,155 ÷ 2 = 754,077.5

If the quotient is a whole number, then 2 and 754,077.5 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 1,508,155
-1 -1,508,155

Now, we try dividing 1,508,155 by 3:

1,508,155 ÷ 3 = 502,718.3333

If the quotient is a whole number, then 3 and 502,718.3333 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 1,508,155
-1 -1,508,155

Let's try dividing by 4:

1,508,155 ÷ 4 = 377,038.75

If the quotient is a whole number, then 4 and 377,038.75 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 1,508,155
-1 1,508,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15111755851879351,6138,06517,74327,42188,715137,105301,6311,508,155
-1-5-11-17-55-85-187-935-1,613-8,065-17,743-27,421-88,715-137,105-301,631-1,508,155

More Examples

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