Q: What are the factor combinations of the number 650,472,463?

 A:
Positive:   1 x 65047246359 x 1102495761 x 10663483149 x 43655871213 x 5362513599 x 1807378791 x 739939089 x 71567
Negative: -1 x -650472463-59 x -11024957-61 x -10663483-149 x -4365587-1213 x -536251-3599 x -180737-8791 x -73993-9089 x -71567


How do I find the factor combinations of the number 650,472,463?

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 650,472,463, 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.

1 650,472,463
-1 -650,472,463

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 650,472,463.

Example:
1 x 650,472,463 = 650,472,463
and
-1 x -650,472,463 = 650,472,463
Notice both answers equal 650,472,463

With that explanation out of the way, let's continue. Next, we take the number 650,472,463 and divide it by 2:

650,472,463 ÷ 2 = 325,236,231.5

If the quotient is a whole number, then 2 and 325,236,231.5 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:

1 650,472,463
-1 -650,472,463

Now, we try dividing 650,472,463 by 3:

650,472,463 ÷ 3 = 216,824,154.3333

If the quotient is a whole number, then 3 and 216,824,154.3333 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:

1 650,472,463
-1 -650,472,463

Let's try dividing by 4:

650,472,463 ÷ 4 = 162,618,115.75

If the quotient is a whole number, then 4 and 162,618,115.75 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:

1 650,472,463
-1 650,472,463
Keep dividing by the next highest number until you cannot divide anymore.

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

159611491,2133,5998,7919,08971,56773,993180,737536,2514,365,58710,663,48311,024,957650,472,463
-1-59-61-149-1,213-3,599-8,791-9,089-71,567-73,993-180,737-536,251-4,365,587-10,663,483-11,024,957-650,472,463

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