Q: What are the factor combinations of the number 650,567,245?

 A:
Positive:   1 x 6505672455 x 130113449227 x 2865935229 x 28409051135 x 5731871145 x 5681812503 x 25991512515 x 51983
Negative: -1 x -650567245-5 x -130113449-227 x -2865935-229 x -2840905-1135 x -573187-1145 x -568181-2503 x -259915-12515 x -51983


How do I find the factor combinations of the number 650,567,245?

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 650,567,245, 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.

1 650,567,245
-1 -650,567,245

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 650,567,245.

Example:
1 x 650,567,245 = 650,567,245
and
-1 x -650,567,245 = 650,567,245
Notice both answers equal 650,567,245

With that explanation out of the way, let's continue. Next, we take the number 650,567,245 and divide it by 2:

650,567,245 ÷ 2 = 325,283,622.5

If the quotient is a whole number, then 2 and 325,283,622.5 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:

1 650,567,245
-1 -650,567,245

Now, we try dividing 650,567,245 by 3:

650,567,245 ÷ 3 = 216,855,748.3333

If the quotient is a whole number, then 3 and 216,855,748.3333 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:

1 650,567,245
-1 -650,567,245

Let's try dividing by 4:

650,567,245 ÷ 4 = 162,641,811.25

If the quotient is a whole number, then 4 and 162,641,811.25 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:

1 650,567,245
-1 650,567,245
Keep dividing by the next highest number until you cannot divide anymore.

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

152272291,1351,1452,50312,51551,983259,915568,181573,1872,840,9052,865,935130,113,449650,567,245
-1-5-227-229-1,135-1,145-2,503-12,515-51,983-259,915-568,181-573,187-2,840,905-2,865,935-130,113,449-650,567,245

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