Q: What are the factor combinations of the number 301,760,165?

 A:
Positive:   1 x 3017601655 x 603520337 x 4310859535 x 8621719269 x 11217851345 x 2243571883 x 1602559415 x 32051
Negative: -1 x -301760165-5 x -60352033-7 x -43108595-35 x -8621719-269 x -1121785-1345 x -224357-1883 x -160255-9415 x -32051


How do I find the factor combinations of the number 301,760,165?

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 301,760,165, 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.

1 301,760,165
-1 -301,760,165

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 301,760,165.

Example:
1 x 301,760,165 = 301,760,165
and
-1 x -301,760,165 = 301,760,165
Notice both answers equal 301,760,165

With that explanation out of the way, let's continue. Next, we take the number 301,760,165 and divide it by 2:

301,760,165 ÷ 2 = 150,880,082.5

If the quotient is a whole number, then 2 and 150,880,082.5 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:

1 301,760,165
-1 -301,760,165

Now, we try dividing 301,760,165 by 3:

301,760,165 ÷ 3 = 100,586,721.6667

If the quotient is a whole number, then 3 and 100,586,721.6667 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:

1 301,760,165
-1 -301,760,165

Let's try dividing by 4:

301,760,165 ÷ 4 = 75,440,041.25

If the quotient is a whole number, then 4 and 75,440,041.25 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:

1 301,760,165
-1 301,760,165
Keep dividing by the next highest number until you cannot divide anymore.

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

157352691,3451,8839,41532,051160,255224,3571,121,7858,621,71943,108,59560,352,033301,760,165
-1-5-7-35-269-1,345-1,883-9,415-32,051-160,255-224,357-1,121,785-8,621,719-43,108,595-60,352,033-301,760,165

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