Q: What are the factor combinations of the number 240,241,555?

 A:
Positive:   1 x 2402415555 x 4804831123 x 1044528537 x 6493015115 x 2089057131 x 1833905185 x 1298603431 x 557405655 x 366781851 x 2823052155 x 1114813013 x 797354255 x 564614847 x 495659913 x 2423515065 x 15947
Negative: -1 x -240241555-5 x -48048311-23 x -10445285-37 x -6493015-115 x -2089057-131 x -1833905-185 x -1298603-431 x -557405-655 x -366781-851 x -282305-2155 x -111481-3013 x -79735-4255 x -56461-4847 x -49565-9913 x -24235-15065 x -15947


How do I find the factor combinations of the number 240,241,555?

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 240,241,555, 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.

1 240,241,555
-1 -240,241,555

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 240,241,555.

Example:
1 x 240,241,555 = 240,241,555
and
-1 x -240,241,555 = 240,241,555
Notice both answers equal 240,241,555

With that explanation out of the way, let's continue. Next, we take the number 240,241,555 and divide it by 2:

240,241,555 ÷ 2 = 120,120,777.5

If the quotient is a whole number, then 2 and 120,120,777.5 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:

1 240,241,555
-1 -240,241,555

Now, we try dividing 240,241,555 by 3:

240,241,555 ÷ 3 = 80,080,518.3333

If the quotient is a whole number, then 3 and 80,080,518.3333 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:

1 240,241,555
-1 -240,241,555

Let's try dividing by 4:

240,241,555 ÷ 4 = 60,060,388.75

If the quotient is a whole number, then 4 and 60,060,388.75 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:

1 240,241,555
-1 240,241,555
Keep dividing by the next highest number until you cannot divide anymore.

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

1523371151311854316558512,1553,0134,2554,8479,91315,06515,94724,23549,56556,46179,735111,481282,305366,781557,4051,298,6031,833,9052,089,0576,493,01510,445,28548,048,311240,241,555
-1-5-23-37-115-131-185-431-655-851-2,155-3,013-4,255-4,847-9,913-15,065-15,947-24,235-49,565-56,461-79,735-111,481-282,305-366,781-557,405-1,298,603-1,833,905-2,089,057-6,493,015-10,445,285-48,048,311-240,241,555

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