Q: What are the factor combinations of the number 146,058,187?

 A:
Positive:   1 x 14605818711 x 1327801719 x 768727347 x 3107621209 x 698843517 x 282511893 x 1635599823 x 14869
Negative: -1 x -146058187-11 x -13278017-19 x -7687273-47 x -3107621-209 x -698843-517 x -282511-893 x -163559-9823 x -14869


How do I find the factor combinations of the number 146,058,187?

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 146,058,187, 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.

1 146,058,187
-1 -146,058,187

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 146,058,187.

Example:
1 x 146,058,187 = 146,058,187
and
-1 x -146,058,187 = 146,058,187
Notice both answers equal 146,058,187

With that explanation out of the way, let's continue. Next, we take the number 146,058,187 and divide it by 2:

146,058,187 ÷ 2 = 73,029,093.5

If the quotient is a whole number, then 2 and 73,029,093.5 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:

1 146,058,187
-1 -146,058,187

Now, we try dividing 146,058,187 by 3:

146,058,187 ÷ 3 = 48,686,062.3333

If the quotient is a whole number, then 3 and 48,686,062.3333 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:

1 146,058,187
-1 -146,058,187

Let's try dividing by 4:

146,058,187 ÷ 4 = 36,514,546.75

If the quotient is a whole number, then 4 and 36,514,546.75 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:

1 146,058,187
-1 146,058,187
Keep dividing by the next highest number until you cannot divide anymore.

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

11119472095178939,82314,869163,559282,511698,8433,107,6217,687,27313,278,017146,058,187
-1-11-19-47-209-517-893-9,823-14,869-163,559-282,511-698,843-3,107,621-7,687,273-13,278,017-146,058,187

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