Q: What are the factor combinations of the number 124,046,015?

 A:
Positive:   1 x 1240460155 x 2480920323 x 539330537 x 3352595115 x 1078661185 x 670519851 x 1457654255 x 29153
Negative: -1 x -124046015-5 x -24809203-23 x -5393305-37 x -3352595-115 x -1078661-185 x -670519-851 x -145765-4255 x -29153


How do I find the factor combinations of the number 124,046,015?

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 124,046,015, 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.

1 124,046,015
-1 -124,046,015

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 124,046,015.

Example:
1 x 124,046,015 = 124,046,015
and
-1 x -124,046,015 = 124,046,015
Notice both answers equal 124,046,015

With that explanation out of the way, let's continue. Next, we take the number 124,046,015 and divide it by 2:

124,046,015 ÷ 2 = 62,023,007.5

If the quotient is a whole number, then 2 and 62,023,007.5 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:

1 124,046,015
-1 -124,046,015

Now, we try dividing 124,046,015 by 3:

124,046,015 ÷ 3 = 41,348,671.6667

If the quotient is a whole number, then 3 and 41,348,671.6667 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:

1 124,046,015
-1 -124,046,015

Let's try dividing by 4:

124,046,015 ÷ 4 = 31,011,503.75

If the quotient is a whole number, then 4 and 31,011,503.75 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:

1 124,046,015
-1 124,046,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151858514,25529,153145,765670,5191,078,6613,352,5955,393,30524,809,203124,046,015
-1-5-23-37-115-185-851-4,255-29,153-145,765-670,519-1,078,661-3,352,595-5,393,305-24,809,203-124,046,015

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