Q: What are the factor combinations of the number 330,010,325?

 A:
Positive:   1 x 3300103255 x 6600206523 x 1434827525 x 13200413115 x 2869655139 x 2374175575 x 573931695 x 4748353197 x 1032253475 x 949674129 x 7992515985 x 20645
Negative: -1 x -330010325-5 x -66002065-23 x -14348275-25 x -13200413-115 x -2869655-139 x -2374175-575 x -573931-695 x -474835-3197 x -103225-3475 x -94967-4129 x -79925-15985 x -20645


How do I find the factor combinations of the number 330,010,325?

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 330,010,325, 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.

1 330,010,325
-1 -330,010,325

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 330,010,325.

Example:
1 x 330,010,325 = 330,010,325
and
-1 x -330,010,325 = 330,010,325
Notice both answers equal 330,010,325

With that explanation out of the way, let's continue. Next, we take the number 330,010,325 and divide it by 2:

330,010,325 ÷ 2 = 165,005,162.5

If the quotient is a whole number, then 2 and 165,005,162.5 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:

1 330,010,325
-1 -330,010,325

Now, we try dividing 330,010,325 by 3:

330,010,325 ÷ 3 = 110,003,441.6667

If the quotient is a whole number, then 3 and 110,003,441.6667 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:

1 330,010,325
-1 -330,010,325

Let's try dividing by 4:

330,010,325 ÷ 4 = 82,502,581.25

If the quotient is a whole number, then 4 and 82,502,581.25 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:

1 330,010,325
-1 330,010,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1523251151395756953,1973,4754,12915,98520,64579,92594,967103,225474,835573,9312,374,1752,869,65513,200,41314,348,27566,002,065330,010,325
-1-5-23-25-115-139-575-695-3,197-3,475-4,129-15,985-20,645-79,925-94,967-103,225-474,835-573,931-2,374,175-2,869,655-13,200,413-14,348,275-66,002,065-330,010,325

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