Q: What are the factor combinations of the number 164,320,667?

 A:
Positive:   1 x 1643206677 x 2347438149 x 3353483343 x 479069571 x 287777839 x 1958533997 x 411115873 x 27979
Negative: -1 x -164320667-7 x -23474381-49 x -3353483-343 x -479069-571 x -287777-839 x -195853-3997 x -41111-5873 x -27979


How do I find the factor combinations of the number 164,320,667?

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 164,320,667, 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.

1 164,320,667
-1 -164,320,667

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 164,320,667.

Example:
1 x 164,320,667 = 164,320,667
and
-1 x -164,320,667 = 164,320,667
Notice both answers equal 164,320,667

With that explanation out of the way, let's continue. Next, we take the number 164,320,667 and divide it by 2:

164,320,667 ÷ 2 = 82,160,333.5

If the quotient is a whole number, then 2 and 82,160,333.5 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:

1 164,320,667
-1 -164,320,667

Now, we try dividing 164,320,667 by 3:

164,320,667 ÷ 3 = 54,773,555.6667

If the quotient is a whole number, then 3 and 54,773,555.6667 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:

1 164,320,667
-1 -164,320,667

Let's try dividing by 4:

164,320,667 ÷ 4 = 41,080,166.75

If the quotient is a whole number, then 4 and 41,080,166.75 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:

1 164,320,667
-1 164,320,667
Keep dividing by the next highest number until you cannot divide anymore.

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

17493435718393,9975,87327,97941,111195,853287,777479,0693,353,48323,474,381164,320,667
-1-7-49-343-571-839-3,997-5,873-27,979-41,111-195,853-287,777-479,069-3,353,483-23,474,381-164,320,667

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