Q: What are the factor combinations of the number 124,102,015?

 A:
Positive:   1 x 1241020155 x 2482040319 x 653168583 x 149520595 x 1306337415 x 2990411577 x 786957885 x 15739
Negative: -1 x -124102015-5 x -24820403-19 x -6531685-83 x -1495205-95 x -1306337-415 x -299041-1577 x -78695-7885 x -15739


How do I find the factor combinations of the number 124,102,015?

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 124,102,015, 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.

1 124,102,015
-1 -124,102,015

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 124,102,015.

Example:
1 x 124,102,015 = 124,102,015
and
-1 x -124,102,015 = 124,102,015
Notice both answers equal 124,102,015

With that explanation out of the way, let's continue. Next, we take the number 124,102,015 and divide it by 2:

124,102,015 ÷ 2 = 62,051,007.5

If the quotient is a whole number, then 2 and 62,051,007.5 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:

1 124,102,015
-1 -124,102,015

Now, we try dividing 124,102,015 by 3:

124,102,015 ÷ 3 = 41,367,338.3333

If the quotient is a whole number, then 3 and 41,367,338.3333 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:

1 124,102,015
-1 -124,102,015

Let's try dividing by 4:

124,102,015 ÷ 4 = 31,025,503.75

If the quotient is a whole number, then 4 and 31,025,503.75 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:

1 124,102,015
-1 124,102,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151983954151,5777,88515,73978,695299,0411,306,3371,495,2056,531,68524,820,403124,102,015
-1-5-19-83-95-415-1,577-7,885-15,739-78,695-299,041-1,306,337-1,495,205-6,531,685-24,820,403-124,102,015

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