Q: What are the factor combinations of the number 403,000,165?

 A:
Positive:   1 x 4030001655 x 8060003319 x 2121053595 x 4242107821 x 4908654105 x 981735167 x 7799515599 x 25835
Negative: -1 x -403000165-5 x -80600033-19 x -21210535-95 x -4242107-821 x -490865-4105 x -98173-5167 x -77995-15599 x -25835


How do I find the factor combinations of the number 403,000,165?

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 403,000,165, 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.

1 403,000,165
-1 -403,000,165

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 403,000,165.

Example:
1 x 403,000,165 = 403,000,165
and
-1 x -403,000,165 = 403,000,165
Notice both answers equal 403,000,165

With that explanation out of the way, let's continue. Next, we take the number 403,000,165 and divide it by 2:

403,000,165 ÷ 2 = 201,500,082.5

If the quotient is a whole number, then 2 and 201,500,082.5 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:

1 403,000,165
-1 -403,000,165

Now, we try dividing 403,000,165 by 3:

403,000,165 ÷ 3 = 134,333,388.3333

If the quotient is a whole number, then 3 and 134,333,388.3333 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:

1 403,000,165
-1 -403,000,165

Let's try dividing by 4:

403,000,165 ÷ 4 = 100,750,041.25

If the quotient is a whole number, then 4 and 100,750,041.25 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:

1 403,000,165
-1 403,000,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1519958214,1055,16715,59925,83577,99598,173490,8654,242,10721,210,53580,600,033403,000,165
-1-5-19-95-821-4,105-5,167-15,599-25,835-77,995-98,173-490,865-4,242,107-21,210,535-80,600,033-403,000,165

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