Q: What are the factor combinations of the number 273,125,047?

 A:
Positive:   1 x 27312504713 x 2100961973 x 3741439277 x 986011949 x 2878031039 x 2628733601 x 7584713507 x 20221
Negative: -1 x -273125047-13 x -21009619-73 x -3741439-277 x -986011-949 x -287803-1039 x -262873-3601 x -75847-13507 x -20221


How do I find the factor combinations of the number 273,125,047?

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 273,125,047, 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.

1 273,125,047
-1 -273,125,047

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 273,125,047.

Example:
1 x 273,125,047 = 273,125,047
and
-1 x -273,125,047 = 273,125,047
Notice both answers equal 273,125,047

With that explanation out of the way, let's continue. Next, we take the number 273,125,047 and divide it by 2:

273,125,047 ÷ 2 = 136,562,523.5

If the quotient is a whole number, then 2 and 136,562,523.5 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:

1 273,125,047
-1 -273,125,047

Now, we try dividing 273,125,047 by 3:

273,125,047 ÷ 3 = 91,041,682.3333

If the quotient is a whole number, then 3 and 91,041,682.3333 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:

1 273,125,047
-1 -273,125,047

Let's try dividing by 4:

273,125,047 ÷ 4 = 68,281,261.75

If the quotient is a whole number, then 4 and 68,281,261.75 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:

1 273,125,047
-1 273,125,047
Keep dividing by the next highest number until you cannot divide anymore.

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

113732779491,0393,60113,50720,22175,847262,873287,803986,0113,741,43921,009,619273,125,047
-1-13-73-277-949-1,039-3,601-13,507-20,221-75,847-262,873-287,803-986,011-3,741,439-21,009,619-273,125,047

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