Q: What are the factor combinations of the number 225,020,159?

 A:
Positive:   1 x 2250201597 x 3214573713 x 1730924359 x 381390191 x 2472749413 x 544843767 x 2933775369 x 41911
Negative: -1 x -225020159-7 x -32145737-13 x -17309243-59 x -3813901-91 x -2472749-413 x -544843-767 x -293377-5369 x -41911


How do I find the factor combinations of the number 225,020,159?

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 225,020,159, 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.

1 225,020,159
-1 -225,020,159

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 225,020,159.

Example:
1 x 225,020,159 = 225,020,159
and
-1 x -225,020,159 = 225,020,159
Notice both answers equal 225,020,159

With that explanation out of the way, let's continue. Next, we take the number 225,020,159 and divide it by 2:

225,020,159 ÷ 2 = 112,510,079.5

If the quotient is a whole number, then 2 and 112,510,079.5 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:

1 225,020,159
-1 -225,020,159

Now, we try dividing 225,020,159 by 3:

225,020,159 ÷ 3 = 75,006,719.6667

If the quotient is a whole number, then 3 and 75,006,719.6667 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:

1 225,020,159
-1 -225,020,159

Let's try dividing by 4:

225,020,159 ÷ 4 = 56,255,039.75

If the quotient is a whole number, then 4 and 56,255,039.75 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:

1 225,020,159
-1 225,020,159
Keep dividing by the next highest number until you cannot divide anymore.

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

171359914137675,36941,911293,377544,8432,472,7493,813,90117,309,24332,145,737225,020,159
-1-7-13-59-91-413-767-5,369-41,911-293,377-544,843-2,472,749-3,813,901-17,309,243-32,145,737-225,020,159

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