Q: What are the factor combinations of the number 124,013,015?

 A:
Positive:   1 x 1240130155 x 248026037 x 1771614535 x 354322979 x 1569785395 x 313957553 x 2242552765 x 44851
Negative: -1 x -124013015-5 x -24802603-7 x -17716145-35 x -3543229-79 x -1569785-395 x -313957-553 x -224255-2765 x -44851


How do I find the factor combinations of the number 124,013,015?

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 124,013,015, 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.

1 124,013,015
-1 -124,013,015

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 124,013,015.

Example:
1 x 124,013,015 = 124,013,015
and
-1 x -124,013,015 = 124,013,015
Notice both answers equal 124,013,015

With that explanation out of the way, let's continue. Next, we take the number 124,013,015 and divide it by 2:

124,013,015 ÷ 2 = 62,006,507.5

If the quotient is a whole number, then 2 and 62,006,507.5 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:

1 124,013,015
-1 -124,013,015

Now, we try dividing 124,013,015 by 3:

124,013,015 ÷ 3 = 41,337,671.6667

If the quotient is a whole number, then 3 and 41,337,671.6667 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:

1 124,013,015
-1 -124,013,015

Let's try dividing by 4:

124,013,015 ÷ 4 = 31,003,253.75

If the quotient is a whole number, then 4 and 31,003,253.75 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:

1 124,013,015
-1 124,013,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735793955532,76544,851224,255313,9571,569,7853,543,22917,716,14524,802,603124,013,015
-1-5-7-35-79-395-553-2,765-44,851-224,255-313,957-1,569,785-3,543,229-17,716,145-24,802,603-124,013,015

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