Q: What are the factor combinations of the number 1,508,375?

 A:
Positive:   1 x 15083755 x 30167511 x 13712525 x 6033555 x 27425125 x 12067275 x 54851097 x 1375
Negative: -1 x -1508375-5 x -301675-11 x -137125-25 x -60335-55 x -27425-125 x -12067-275 x -5485-1097 x -1375


How do I find the factor combinations of the number 1,508,375?

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 1,508,375, 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 1,508,375
-1 -1,508,375

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 1,508,375.

Example:
1 x 1,508,375 = 1,508,375
and
-1 x -1,508,375 = 1,508,375
Notice both answers equal 1,508,375

With that explanation out of the way, let's continue. Next, we take the number 1,508,375 and divide it by 2:

1,508,375 ÷ 2 = 754,187.5

If the quotient is a whole number, then 2 and 754,187.5 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 1,508,375
-1 -1,508,375

Now, we try dividing 1,508,375 by 3:

1,508,375 ÷ 3 = 502,791.6667

If the quotient is a whole number, then 3 and 502,791.6667 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 1,508,375
-1 -1,508,375

Let's try dividing by 4:

1,508,375 ÷ 4 = 377,093.75

If the quotient is a whole number, then 4 and 377,093.75 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 1,508,375
-1 1,508,375
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551252751,0971,3755,48512,06727,42560,335137,125301,6751,508,375
-1-5-11-25-55-125-275-1,097-1,375-5,485-12,067-27,425-60,335-137,125-301,675-1,508,375

More Examples

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