Q: What are the factor combinations of the number 124,021,513?

 A:
Positive:   1 x 1240215137 x 1771735911 x 1127468377 x 1610669311 x 3987832177 x 569693421 x 362535179 x 23947
Negative: -1 x -124021513-7 x -17717359-11 x -11274683-77 x -1610669-311 x -398783-2177 x -56969-3421 x -36253-5179 x -23947


How do I find the factor combinations of the number 124,021,513?

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 124,021,513, 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.

1 124,021,513
-1 -124,021,513

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 124,021,513.

Example:
1 x 124,021,513 = 124,021,513
and
-1 x -124,021,513 = 124,021,513
Notice both answers equal 124,021,513

With that explanation out of the way, let's continue. Next, we take the number 124,021,513 and divide it by 2:

124,021,513 ÷ 2 = 62,010,756.5

If the quotient is a whole number, then 2 and 62,010,756.5 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:

1 124,021,513
-1 -124,021,513

Now, we try dividing 124,021,513 by 3:

124,021,513 ÷ 3 = 41,340,504.3333

If the quotient is a whole number, then 3 and 41,340,504.3333 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:

1 124,021,513
-1 -124,021,513

Let's try dividing by 4:

124,021,513 ÷ 4 = 31,005,378.25

If the quotient is a whole number, then 4 and 31,005,378.25 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:

1 124,021,513
-1 124,021,513
Keep dividing by the next highest number until you cannot divide anymore.

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

1711773112,1773,4215,17923,94736,25356,969398,7831,610,66911,274,68317,717,359124,021,513
-1-7-11-77-311-2,177-3,421-5,179-23,947-36,253-56,969-398,783-1,610,669-11,274,683-17,717,359-124,021,513

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