Q: What are the factor combinations of the number 300,454,015?

 A:
Positive:   1 x 3004540155 x 6009080331 x 9692065137 x 2193095155 x 1938413685 x 4386194247 x 7074514149 x 21235
Negative: -1 x -300454015-5 x -60090803-31 x -9692065-137 x -2193095-155 x -1938413-685 x -438619-4247 x -70745-14149 x -21235


How do I find the factor combinations of the number 300,454,015?

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 300,454,015, 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.

1 300,454,015
-1 -300,454,015

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 300,454,015.

Example:
1 x 300,454,015 = 300,454,015
and
-1 x -300,454,015 = 300,454,015
Notice both answers equal 300,454,015

With that explanation out of the way, let's continue. Next, we take the number 300,454,015 and divide it by 2:

300,454,015 ÷ 2 = 150,227,007.5

If the quotient is a whole number, then 2 and 150,227,007.5 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:

1 300,454,015
-1 -300,454,015

Now, we try dividing 300,454,015 by 3:

300,454,015 ÷ 3 = 100,151,338.3333

If the quotient is a whole number, then 3 and 100,151,338.3333 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:

1 300,454,015
-1 -300,454,015

Let's try dividing by 4:

300,454,015 ÷ 4 = 75,113,503.75

If the quotient is a whole number, then 4 and 75,113,503.75 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:

1 300,454,015
-1 300,454,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15311371556854,24714,14921,23570,745438,6191,938,4132,193,0959,692,06560,090,803300,454,015
-1-5-31-137-155-685-4,247-14,149-21,235-70,745-438,619-1,938,413-2,193,095-9,692,065-60,090,803-300,454,015

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