Q: What are the factor combinations of the number 7,203,715?

 A:
Positive:   1 x 72037155 x 144074323 x 31320537 x 194695115 x 62641185 x 38939851 x 84651693 x 4255
Negative: -1 x -7203715-5 x -1440743-23 x -313205-37 x -194695-115 x -62641-185 x -38939-851 x -8465-1693 x -4255


How do I find the factor combinations of the number 7,203,715?

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 7,203,715, 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 7,203,715
-1 -7,203,715

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 7,203,715.

Example:
1 x 7,203,715 = 7,203,715
and
-1 x -7,203,715 = 7,203,715
Notice both answers equal 7,203,715

With that explanation out of the way, let's continue. Next, we take the number 7,203,715 and divide it by 2:

7,203,715 ÷ 2 = 3,601,857.5

If the quotient is a whole number, then 2 and 3,601,857.5 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 7,203,715
-1 -7,203,715

Now, we try dividing 7,203,715 by 3:

7,203,715 ÷ 3 = 2,401,238.3333

If the quotient is a whole number, then 3 and 2,401,238.3333 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 7,203,715
-1 -7,203,715

Let's try dividing by 4:

7,203,715 ÷ 4 = 1,800,928.75

If the quotient is a whole number, then 4 and 1,800,928.75 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 7,203,715
-1 7,203,715
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858511,6934,2558,46538,93962,641194,695313,2051,440,7437,203,715
-1-5-23-37-115-185-851-1,693-4,255-8,465-38,939-62,641-194,695-313,205-1,440,743-7,203,715

More Examples

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