Q: What are the factor combinations of the number 240,767,335?

 A:
Positive:   1 x 2407673355 x 4815346719 x 1267196523 x 1046814595 x 2534393101 x 2383835115 x 2093629437 x 550955505 x 4767671091 x 2206851919 x 1254652185 x 1101912323 x 1036455455 x 441379595 x 2509311615 x 20729
Negative: -1 x -240767335-5 x -48153467-19 x -12671965-23 x -10468145-95 x -2534393-101 x -2383835-115 x -2093629-437 x -550955-505 x -476767-1091 x -220685-1919 x -125465-2185 x -110191-2323 x -103645-5455 x -44137-9595 x -25093-11615 x -20729


How do I find the factor combinations of the number 240,767,335?

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 240,767,335, 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.

1 240,767,335
-1 -240,767,335

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 240,767,335.

Example:
1 x 240,767,335 = 240,767,335
and
-1 x -240,767,335 = 240,767,335
Notice both answers equal 240,767,335

With that explanation out of the way, let's continue. Next, we take the number 240,767,335 and divide it by 2:

240,767,335 ÷ 2 = 120,383,667.5

If the quotient is a whole number, then 2 and 120,383,667.5 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:

1 240,767,335
-1 -240,767,335

Now, we try dividing 240,767,335 by 3:

240,767,335 ÷ 3 = 80,255,778.3333

If the quotient is a whole number, then 3 and 80,255,778.3333 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:

1 240,767,335
-1 -240,767,335

Let's try dividing by 4:

240,767,335 ÷ 4 = 60,191,833.75

If the quotient is a whole number, then 4 and 60,191,833.75 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:

1 240,767,335
-1 240,767,335
Keep dividing by the next highest number until you cannot divide anymore.

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

151923951011154375051,0911,9192,1852,3235,4559,59511,61520,72925,09344,137103,645110,191125,465220,685476,767550,9552,093,6292,383,8352,534,39310,468,14512,671,96548,153,467240,767,335
-1-5-19-23-95-101-115-437-505-1,091-1,919-2,185-2,323-5,455-9,595-11,615-20,729-25,093-44,137-103,645-110,191-125,465-220,685-476,767-550,955-2,093,629-2,383,835-2,534,393-10,468,145-12,671,965-48,153,467-240,767,335

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