Q: What are the factor combinations of the number 225,667,145?

 A:
Positive:   1 x 2256671455 x 4513342911 x 2051519523 x 981161555 x 4103039115 x 1962323253 x 8919651265 x 178393
Negative: -1 x -225667145-5 x -45133429-11 x -20515195-23 x -9811615-55 x -4103039-115 x -1962323-253 x -891965-1265 x -178393


How do I find the factor combinations of the number 225,667,145?

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 225,667,145, 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.

1 225,667,145
-1 -225,667,145

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 225,667,145.

Example:
1 x 225,667,145 = 225,667,145
and
-1 x -225,667,145 = 225,667,145
Notice both answers equal 225,667,145

With that explanation out of the way, let's continue. Next, we take the number 225,667,145 and divide it by 2:

225,667,145 ÷ 2 = 112,833,572.5

If the quotient is a whole number, then 2 and 112,833,572.5 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:

1 225,667,145
-1 -225,667,145

Now, we try dividing 225,667,145 by 3:

225,667,145 ÷ 3 = 75,222,381.6667

If the quotient is a whole number, then 3 and 75,222,381.6667 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:

1 225,667,145
-1 -225,667,145

Let's try dividing by 4:

225,667,145 ÷ 4 = 56,416,786.25

If the quotient is a whole number, then 4 and 56,416,786.25 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:

1 225,667,145
-1 225,667,145
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,265178,393891,9651,962,3234,103,0399,811,61520,515,19545,133,429225,667,145
-1-5-11-23-55-115-253-1,265-178,393-891,965-1,962,323-4,103,039-9,811,615-20,515,195-45,133,429-225,667,145

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