Q: What are the factor combinations of the number 74,109,139?

 A:
Positive:   1 x 7410913913 x 570070319 x 3900481151 x 490789247 x 3000371963 x 377531987 x 372972869 x 25831
Negative: -1 x -74109139-13 x -5700703-19 x -3900481-151 x -490789-247 x -300037-1963 x -37753-1987 x -37297-2869 x -25831


How do I find the factor combinations of the number 74,109,139?

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 74,109,139, 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 74,109,139
-1 -74,109,139

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 74,109,139.

Example:
1 x 74,109,139 = 74,109,139
and
-1 x -74,109,139 = 74,109,139
Notice both answers equal 74,109,139

With that explanation out of the way, let's continue. Next, we take the number 74,109,139 and divide it by 2:

74,109,139 ÷ 2 = 37,054,569.5

If the quotient is a whole number, then 2 and 37,054,569.5 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 74,109,139
-1 -74,109,139

Now, we try dividing 74,109,139 by 3:

74,109,139 ÷ 3 = 24,703,046.3333

If the quotient is a whole number, then 3 and 24,703,046.3333 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 74,109,139
-1 -74,109,139

Let's try dividing by 4:

74,109,139 ÷ 4 = 18,527,284.75

If the quotient is a whole number, then 4 and 18,527,284.75 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 74,109,139
-1 74,109,139
Keep dividing by the next highest number until you cannot divide anymore.

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

113191512471,9631,9872,86925,83137,29737,753300,037490,7893,900,4815,700,70374,109,139
-1-13-19-151-247-1,963-1,987-2,869-25,831-37,297-37,753-300,037-490,789-3,900,481-5,700,703-74,109,139

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