Q: What are the factor combinations of the number 478,685,855?

 A:
Positive:   1 x 4786858555 x 9573717167 x 7144565151 x 3170105335 x 1428913755 x 6340219463 x 5058510117 x 47315
Negative: -1 x -478685855-5 x -95737171-67 x -7144565-151 x -3170105-335 x -1428913-755 x -634021-9463 x -50585-10117 x -47315


How do I find the factor combinations of the number 478,685,855?

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 478,685,855, 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.

1 478,685,855
-1 -478,685,855

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 478,685,855.

Example:
1 x 478,685,855 = 478,685,855
and
-1 x -478,685,855 = 478,685,855
Notice both answers equal 478,685,855

With that explanation out of the way, let's continue. Next, we take the number 478,685,855 and divide it by 2:

478,685,855 ÷ 2 = 239,342,927.5

If the quotient is a whole number, then 2 and 239,342,927.5 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:

1 478,685,855
-1 -478,685,855

Now, we try dividing 478,685,855 by 3:

478,685,855 ÷ 3 = 159,561,951.6667

If the quotient is a whole number, then 3 and 159,561,951.6667 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:

1 478,685,855
-1 -478,685,855

Let's try dividing by 4:

478,685,855 ÷ 4 = 119,671,463.75

If the quotient is a whole number, then 4 and 119,671,463.75 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:

1 478,685,855
-1 478,685,855
Keep dividing by the next highest number until you cannot divide anymore.

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

15671513357559,46310,11747,31550,585634,0211,428,9133,170,1057,144,56595,737,171478,685,855
-1-5-67-151-335-755-9,463-10,117-47,315-50,585-634,021-1,428,913-3,170,105-7,144,565-95,737,171-478,685,855

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