Q: What are the factor combinations of the number 240,330,139?

 A:
Positive:   1 x 2403301397 x 3433287717 x 1413706743 x 558907367 x 3587017119 x 2019581301 x 798439469 x 512431701 x 342839731 x 3287691139 x 2110012881 x 834194907 x 489775117 x 469677973 x 3014311917 x 20167
Negative: -1 x -240330139-7 x -34332877-17 x -14137067-43 x -5589073-67 x -3587017-119 x -2019581-301 x -798439-469 x -512431-701 x -342839-731 x -328769-1139 x -211001-2881 x -83419-4907 x -48977-5117 x -46967-7973 x -30143-11917 x -20167


How do I find the factor combinations of the number 240,330,139?

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 240,330,139, 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.

1 240,330,139
-1 -240,330,139

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 240,330,139.

Example:
1 x 240,330,139 = 240,330,139
and
-1 x -240,330,139 = 240,330,139
Notice both answers equal 240,330,139

With that explanation out of the way, let's continue. Next, we take the number 240,330,139 and divide it by 2:

240,330,139 ÷ 2 = 120,165,069.5

If the quotient is a whole number, then 2 and 120,165,069.5 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:

1 240,330,139
-1 -240,330,139

Now, we try dividing 240,330,139 by 3:

240,330,139 ÷ 3 = 80,110,046.3333

If the quotient is a whole number, then 3 and 80,110,046.3333 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:

1 240,330,139
-1 -240,330,139

Let's try dividing by 4:

240,330,139 ÷ 4 = 60,082,534.75

If the quotient is a whole number, then 4 and 60,082,534.75 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:

1 240,330,139
-1 240,330,139
Keep dividing by the next highest number until you cannot divide anymore.

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

171743671193014697017311,1392,8814,9075,1177,97311,91720,16730,14346,96748,97783,419211,001328,769342,839512,431798,4392,019,5813,587,0175,589,07314,137,06734,332,877240,330,139
-1-7-17-43-67-119-301-469-701-731-1,139-2,881-4,907-5,117-7,973-11,917-20,167-30,143-46,967-48,977-83,419-211,001-328,769-342,839-512,431-798,439-2,019,581-3,587,017-5,589,073-14,137,067-34,332,877-240,330,139

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