Q: What are the factor combinations of the number 124,001,315?

 A:
Positive:   1 x 1240013155 x 2480026317 x 729419519 x 652638585 x 145883995 x 1305277323 x 3839051615 x 76781
Negative: -1 x -124001315-5 x -24800263-17 x -7294195-19 x -6526385-85 x -1458839-95 x -1305277-323 x -383905-1615 x -76781


How do I find the factor combinations of the number 124,001,315?

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 124,001,315, 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.

1 124,001,315
-1 -124,001,315

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 124,001,315.

Example:
1 x 124,001,315 = 124,001,315
and
-1 x -124,001,315 = 124,001,315
Notice both answers equal 124,001,315

With that explanation out of the way, let's continue. Next, we take the number 124,001,315 and divide it by 2:

124,001,315 ÷ 2 = 62,000,657.5

If the quotient is a whole number, then 2 and 62,000,657.5 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:

1 124,001,315
-1 -124,001,315

Now, we try dividing 124,001,315 by 3:

124,001,315 ÷ 3 = 41,333,771.6667

If the quotient is a whole number, then 3 and 41,333,771.6667 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:

1 124,001,315
-1 -124,001,315

Let's try dividing by 4:

124,001,315 ÷ 4 = 31,000,328.75

If the quotient is a whole number, then 4 and 31,000,328.75 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:

1 124,001,315
-1 124,001,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985953231,61576,781383,9051,305,2771,458,8396,526,3857,294,19524,800,263124,001,315
-1-5-17-19-85-95-323-1,615-76,781-383,905-1,305,277-1,458,839-6,526,385-7,294,195-24,800,263-124,001,315

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