Q: What are the factor combinations of the number 453,005,033?

 A:
Positive:   1 x 45300503313 x 3484654123 x 19695871299 x 1515067433 x 10462013499 x 1294675629 x 804779959 x 45487
Negative: -1 x -453005033-13 x -34846541-23 x -19695871-299 x -1515067-433 x -1046201-3499 x -129467-5629 x -80477-9959 x -45487


How do I find the factor combinations of the number 453,005,033?

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 453,005,033, 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.

1 453,005,033
-1 -453,005,033

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 453,005,033.

Example:
1 x 453,005,033 = 453,005,033
and
-1 x -453,005,033 = 453,005,033
Notice both answers equal 453,005,033

With that explanation out of the way, let's continue. Next, we take the number 453,005,033 and divide it by 2:

453,005,033 ÷ 2 = 226,502,516.5

If the quotient is a whole number, then 2 and 226,502,516.5 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:

1 453,005,033
-1 -453,005,033

Now, we try dividing 453,005,033 by 3:

453,005,033 ÷ 3 = 151,001,677.6667

If the quotient is a whole number, then 3 and 151,001,677.6667 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:

1 453,005,033
-1 -453,005,033

Let's try dividing by 4:

453,005,033 ÷ 4 = 113,251,258.25

If the quotient is a whole number, then 4 and 113,251,258.25 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:

1 453,005,033
-1 453,005,033
Keep dividing by the next highest number until you cannot divide anymore.

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

113232994333,4995,6299,95945,48780,477129,4671,046,2011,515,06719,695,87134,846,541453,005,033
-1-13-23-299-433-3,499-5,629-9,959-45,487-80,477-129,467-1,046,201-1,515,067-19,695,871-34,846,541-453,005,033

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