Q: What are the factor combinations of the number 120,473,471?

 A:
Positive:   1 x 12047347119 x 634070923 x 523797731 x 3886241437 x 275683589 x 204539713 x 1689678893 x 13547
Negative: -1 x -120473471-19 x -6340709-23 x -5237977-31 x -3886241-437 x -275683-589 x -204539-713 x -168967-8893 x -13547


How do I find the factor combinations of the number 120,473,471?

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 120,473,471, 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.

1 120,473,471
-1 -120,473,471

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 120,473,471.

Example:
1 x 120,473,471 = 120,473,471
and
-1 x -120,473,471 = 120,473,471
Notice both answers equal 120,473,471

With that explanation out of the way, let's continue. Next, we take the number 120,473,471 and divide it by 2:

120,473,471 ÷ 2 = 60,236,735.5

If the quotient is a whole number, then 2 and 60,236,735.5 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:

1 120,473,471
-1 -120,473,471

Now, we try dividing 120,473,471 by 3:

120,473,471 ÷ 3 = 40,157,823.6667

If the quotient is a whole number, then 3 and 40,157,823.6667 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:

1 120,473,471
-1 -120,473,471

Let's try dividing by 4:

120,473,471 ÷ 4 = 30,118,367.75

If the quotient is a whole number, then 4 and 30,118,367.75 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:

1 120,473,471
-1 120,473,471
Keep dividing by the next highest number until you cannot divide anymore.

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

11923314375897138,89313,547168,967204,539275,6833,886,2415,237,9776,340,709120,473,471
-1-19-23-31-437-589-713-8,893-13,547-168,967-204,539-275,683-3,886,241-5,237,977-6,340,709-120,473,471

More Examples

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