Q: What are the factor combinations of the number 148,273,027?

 A:
Positive:   1 x 1482730277 x 2118186129 x 5112863109 x 1360303203 x 730409763 x 1943293161 x 469076701 x 22127
Negative: -1 x -148273027-7 x -21181861-29 x -5112863-109 x -1360303-203 x -730409-763 x -194329-3161 x -46907-6701 x -22127


How do I find the factor combinations of the number 148,273,027?

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 148,273,027, 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.

1 148,273,027
-1 -148,273,027

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 148,273,027.

Example:
1 x 148,273,027 = 148,273,027
and
-1 x -148,273,027 = 148,273,027
Notice both answers equal 148,273,027

With that explanation out of the way, let's continue. Next, we take the number 148,273,027 and divide it by 2:

148,273,027 ÷ 2 = 74,136,513.5

If the quotient is a whole number, then 2 and 74,136,513.5 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:

1 148,273,027
-1 -148,273,027

Now, we try dividing 148,273,027 by 3:

148,273,027 ÷ 3 = 49,424,342.3333

If the quotient is a whole number, then 3 and 49,424,342.3333 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:

1 148,273,027
-1 -148,273,027

Let's try dividing by 4:

148,273,027 ÷ 4 = 37,068,256.75

If the quotient is a whole number, then 4 and 37,068,256.75 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:

1 148,273,027
-1 148,273,027
Keep dividing by the next highest number until you cannot divide anymore.

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

17291092037633,1616,70122,12746,907194,329730,4091,360,3035,112,86321,181,861148,273,027
-1-7-29-109-203-763-3,161-6,701-22,127-46,907-194,329-730,409-1,360,303-5,112,863-21,181,861-148,273,027

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