Q: What are the factor combinations of the number 620,514,635?

 A:
Positive:   1 x 6205146355 x 12410292713 x 4773189519 x 3265866565 x 954637995 x 6531733247 x 25122051235 x 502441
Negative: -1 x -620514635-5 x -124102927-13 x -47731895-19 x -32658665-65 x -9546379-95 x -6531733-247 x -2512205-1235 x -502441


How do I find the factor combinations of the number 620,514,635?

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 620,514,635, 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.

1 620,514,635
-1 -620,514,635

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 620,514,635.

Example:
1 x 620,514,635 = 620,514,635
and
-1 x -620,514,635 = 620,514,635
Notice both answers equal 620,514,635

With that explanation out of the way, let's continue. Next, we take the number 620,514,635 and divide it by 2:

620,514,635 ÷ 2 = 310,257,317.5

If the quotient is a whole number, then 2 and 310,257,317.5 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:

1 620,514,635
-1 -620,514,635

Now, we try dividing 620,514,635 by 3:

620,514,635 ÷ 3 = 206,838,211.6667

If the quotient is a whole number, then 3 and 206,838,211.6667 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:

1 620,514,635
-1 -620,514,635

Let's try dividing by 4:

620,514,635 ÷ 4 = 155,128,658.75

If the quotient is a whole number, then 4 and 155,128,658.75 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:

1 620,514,635
-1 620,514,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15131965952471,235502,4412,512,2056,531,7339,546,37932,658,66547,731,895124,102,927620,514,635
-1-5-13-19-65-95-247-1,235-502,441-2,512,205-6,531,733-9,546,379-32,658,665-47,731,895-124,102,927-620,514,635

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