Q: What are the factor combinations of the number 1,507,715?

 A:
Positive:   1 x 15077155 x 30154311 x 13706555 x 2741379 x 19085347 x 4345395 x 3817869 x 1735
Negative: -1 x -1507715-5 x -301543-11 x -137065-55 x -27413-79 x -19085-347 x -4345-395 x -3817-869 x -1735


How do I find the factor combinations of the number 1,507,715?

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 1,507,715, 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 1,507,715
-1 -1,507,715

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 1,507,715.

Example:
1 x 1,507,715 = 1,507,715
and
-1 x -1,507,715 = 1,507,715
Notice both answers equal 1,507,715

With that explanation out of the way, let's continue. Next, we take the number 1,507,715 and divide it by 2:

1,507,715 ÷ 2 = 753,857.5

If the quotient is a whole number, then 2 and 753,857.5 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 1,507,715
-1 -1,507,715

Now, we try dividing 1,507,715 by 3:

1,507,715 ÷ 3 = 502,571.6667

If the quotient is a whole number, then 3 and 502,571.6667 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 1,507,715
-1 -1,507,715

Let's try dividing by 4:

1,507,715 ÷ 4 = 376,928.75

If the quotient is a whole number, then 4 and 376,928.75 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 1,507,715
-1 1,507,715
Keep dividing by the next highest number until you cannot divide anymore.

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

151155793473958691,7353,8174,34519,08527,413137,065301,5431,507,715
-1-5-11-55-79-347-395-869-1,735-3,817-4,345-19,085-27,413-137,065-301,543-1,507,715

More Examples

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