Q: What are the factor combinations of the number 148,276,825?

 A:
Positive:   1 x 1482768255 x 2965536525 x 5931073373 x 3975251865 x 795059325 x 15901
Negative: -1 x -148276825-5 x -29655365-25 x -5931073-373 x -397525-1865 x -79505-9325 x -15901


How do I find the factor combinations of the number 148,276,825?

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 148,276,825, 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.

1 148,276,825
-1 -148,276,825

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 148,276,825.

Example:
1 x 148,276,825 = 148,276,825
and
-1 x -148,276,825 = 148,276,825
Notice both answers equal 148,276,825

With that explanation out of the way, let's continue. Next, we take the number 148,276,825 and divide it by 2:

148,276,825 ÷ 2 = 74,138,412.5

If the quotient is a whole number, then 2 and 74,138,412.5 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:

1 148,276,825
-1 -148,276,825

Now, we try dividing 148,276,825 by 3:

148,276,825 ÷ 3 = 49,425,608.3333

If the quotient is a whole number, then 3 and 49,425,608.3333 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:

1 148,276,825
-1 -148,276,825

Let's try dividing by 4:

148,276,825 ÷ 4 = 37,069,206.25

If the quotient is a whole number, then 4 and 37,069,206.25 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:

1 148,276,825
-1 148,276,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15253731,8659,32515,90179,505397,5255,931,07329,655,365148,276,825
-1-5-25-373-1,865-9,325-15,901-79,505-397,525-5,931,073-29,655,365-148,276,825

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