Q: What are the factor combinations of the number 650,224,271?

 A:
Positive:   1 x 65022427197 x 6703343103 x 6312857151 x 4306121431 x 15086419991 x 6508114647 x 4439315553 x 41807
Negative: -1 x -650224271-97 x -6703343-103 x -6312857-151 x -4306121-431 x -1508641-9991 x -65081-14647 x -44393-15553 x -41807


How do I find the factor combinations of the number 650,224,271?

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 650,224,271, 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.

1 650,224,271
-1 -650,224,271

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 650,224,271.

Example:
1 x 650,224,271 = 650,224,271
and
-1 x -650,224,271 = 650,224,271
Notice both answers equal 650,224,271

With that explanation out of the way, let's continue. Next, we take the number 650,224,271 and divide it by 2:

650,224,271 ÷ 2 = 325,112,135.5

If the quotient is a whole number, then 2 and 325,112,135.5 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:

1 650,224,271
-1 -650,224,271

Now, we try dividing 650,224,271 by 3:

650,224,271 ÷ 3 = 216,741,423.6667

If the quotient is a whole number, then 3 and 216,741,423.6667 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:

1 650,224,271
-1 -650,224,271

Let's try dividing by 4:

650,224,271 ÷ 4 = 162,556,067.75

If the quotient is a whole number, then 4 and 162,556,067.75 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:

1 650,224,271
-1 650,224,271
Keep dividing by the next highest number until you cannot divide anymore.

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

1971031514319,99114,64715,55341,80744,39365,0811,508,6414,306,1216,312,8576,703,343650,224,271
-1-97-103-151-431-9,991-14,647-15,553-41,807-44,393-65,081-1,508,641-4,306,121-6,312,857-6,703,343-650,224,271

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