Q: What are the factor combinations of the number 330,465,575?

 A:
Positive:   1 x 3304655755 x 6609311511 x 3004232519 x 1739292525 x 1321862355 x 600846595 x 3478585209 x 1581175275 x 1201693475 x 6957171045 x 3162355225 x 63247
Negative: -1 x -330465575-5 x -66093115-11 x -30042325-19 x -17392925-25 x -13218623-55 x -6008465-95 x -3478585-209 x -1581175-275 x -1201693-475 x -695717-1045 x -316235-5225 x -63247


How do I find the factor combinations of the number 330,465,575?

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 330,465,575, 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.

1 330,465,575
-1 -330,465,575

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 330,465,575.

Example:
1 x 330,465,575 = 330,465,575
and
-1 x -330,465,575 = 330,465,575
Notice both answers equal 330,465,575

With that explanation out of the way, let's continue. Next, we take the number 330,465,575 and divide it by 2:

330,465,575 ÷ 2 = 165,232,787.5

If the quotient is a whole number, then 2 and 165,232,787.5 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:

1 330,465,575
-1 -330,465,575

Now, we try dividing 330,465,575 by 3:

330,465,575 ÷ 3 = 110,155,191.6667

If the quotient is a whole number, then 3 and 110,155,191.6667 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:

1 330,465,575
-1 -330,465,575

Let's try dividing by 4:

330,465,575 ÷ 4 = 82,616,393.75

If the quotient is a whole number, then 4 and 82,616,393.75 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:

1 330,465,575
-1 330,465,575
Keep dividing by the next highest number until you cannot divide anymore.

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

1511192555952092754751,0455,22563,247316,235695,7171,201,6931,581,1753,478,5856,008,46513,218,62317,392,92530,042,32566,093,115330,465,575
-1-5-11-19-25-55-95-209-275-475-1,045-5,225-63,247-316,235-695,717-1,201,693-1,581,175-3,478,585-6,008,465-13,218,623-17,392,925-30,042,325-66,093,115-330,465,575

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