Q: What are the factor combinations of the number 302,507,315?

 A:
Positive:   1 x 3025073155 x 6050146311 x 2750066555 x 5500133179 x 1689985895 x 3379971969 x 1536359845 x 30727
Negative: -1 x -302507315-5 x -60501463-11 x -27500665-55 x -5500133-179 x -1689985-895 x -337997-1969 x -153635-9845 x -30727


How do I find the factor combinations of the number 302,507,315?

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 302,507,315, 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.

1 302,507,315
-1 -302,507,315

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 302,507,315.

Example:
1 x 302,507,315 = 302,507,315
and
-1 x -302,507,315 = 302,507,315
Notice both answers equal 302,507,315

With that explanation out of the way, let's continue. Next, we take the number 302,507,315 and divide it by 2:

302,507,315 ÷ 2 = 151,253,657.5

If the quotient is a whole number, then 2 and 151,253,657.5 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:

1 302,507,315
-1 -302,507,315

Now, we try dividing 302,507,315 by 3:

302,507,315 ÷ 3 = 100,835,771.6667

If the quotient is a whole number, then 3 and 100,835,771.6667 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:

1 302,507,315
-1 -302,507,315

Let's try dividing by 4:

302,507,315 ÷ 4 = 75,626,828.75

If the quotient is a whole number, then 4 and 75,626,828.75 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:

1 302,507,315
-1 302,507,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551798951,9699,84530,727153,635337,9971,689,9855,500,13327,500,66560,501,463302,507,315
-1-5-11-55-179-895-1,969-9,845-30,727-153,635-337,997-1,689,985-5,500,133-27,500,665-60,501,463-302,507,315

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