Q: What are the factor combinations of the number 620,612,447?

 A:
Positive:   1 x 6206124477 x 8865892113 x 4773941919 x 3266381391 x 6819917133 x 4666259169 x 3672263247 x 25126011183 x 5246091729 x 3589433211 x 19327722477 x 27611
Negative: -1 x -620612447-7 x -88658921-13 x -47739419-19 x -32663813-91 x -6819917-133 x -4666259-169 x -3672263-247 x -2512601-1183 x -524609-1729 x -358943-3211 x -193277-22477 x -27611


How do I find the factor combinations of the number 620,612,447?

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 620,612,447, 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.

1 620,612,447
-1 -620,612,447

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 620,612,447.

Example:
1 x 620,612,447 = 620,612,447
and
-1 x -620,612,447 = 620,612,447
Notice both answers equal 620,612,447

With that explanation out of the way, let's continue. Next, we take the number 620,612,447 and divide it by 2:

620,612,447 ÷ 2 = 310,306,223.5

If the quotient is a whole number, then 2 and 310,306,223.5 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:

1 620,612,447
-1 -620,612,447

Now, we try dividing 620,612,447 by 3:

620,612,447 ÷ 3 = 206,870,815.6667

If the quotient is a whole number, then 3 and 206,870,815.6667 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:

1 620,612,447
-1 -620,612,447

Let's try dividing by 4:

620,612,447 ÷ 4 = 155,153,111.75

If the quotient is a whole number, then 4 and 155,153,111.75 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:

1 620,612,447
-1 620,612,447
Keep dividing by the next highest number until you cannot divide anymore.

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

171319911331692471,1831,7293,21122,47727,611193,277358,943524,6092,512,6013,672,2634,666,2596,819,91732,663,81347,739,41988,658,921620,612,447
-1-7-13-19-91-133-169-247-1,183-1,729-3,211-22,477-27,611-193,277-358,943-524,609-2,512,601-3,672,263-4,666,259-6,819,917-32,663,813-47,739,419-88,658,921-620,612,447

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