Q: What are the factor combinations of the number 330,001,025?

 A:
Positive:   1 x 3300010255 x 6600020517 x 1941182519 x 1736847525 x 1320004185 x 388236595 x 3473695323 x 1021675425 x 776473475 x 6947391615 x 2043358075 x 40867
Negative: -1 x -330001025-5 x -66000205-17 x -19411825-19 x -17368475-25 x -13200041-85 x -3882365-95 x -3473695-323 x -1021675-425 x -776473-475 x -694739-1615 x -204335-8075 x -40867


How do I find the factor combinations of the number 330,001,025?

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 330,001,025, 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.

1 330,001,025
-1 -330,001,025

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 330,001,025.

Example:
1 x 330,001,025 = 330,001,025
and
-1 x -330,001,025 = 330,001,025
Notice both answers equal 330,001,025

With that explanation out of the way, let's continue. Next, we take the number 330,001,025 and divide it by 2:

330,001,025 ÷ 2 = 165,000,512.5

If the quotient is a whole number, then 2 and 165,000,512.5 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:

1 330,001,025
-1 -330,001,025

Now, we try dividing 330,001,025 by 3:

330,001,025 ÷ 3 = 110,000,341.6667

If the quotient is a whole number, then 3 and 110,000,341.6667 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:

1 330,001,025
-1 -330,001,025

Let's try dividing by 4:

330,001,025 ÷ 4 = 82,500,256.25

If the quotient is a whole number, then 4 and 82,500,256.25 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:

1 330,001,025
-1 330,001,025
Keep dividing by the next highest number until you cannot divide anymore.

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

1517192585953234254751,6158,07540,867204,335694,739776,4731,021,6753,473,6953,882,36513,200,04117,368,47519,411,82566,000,205330,001,025
-1-5-17-19-25-85-95-323-425-475-1,615-8,075-40,867-204,335-694,739-776,473-1,021,675-3,473,695-3,882,365-13,200,041-17,368,475-19,411,825-66,000,205-330,001,025

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