Q: What are the factor combinations of the number 240,211,475?

 A:
Positive:   1 x 2402114755 x 480422957 x 3431592525 x 960845935 x 686318549 x 4902275109 x 2203775175 x 1372637245 x 980455257 x 934675343 x 700325545 x 440755763 x 3148251225 x 1960911285 x 1869351715 x 1400651799 x 1335252725 x 881513815 x 629655341 x 449756425 x 373878575 x 280138995 x 2670512593 x 19075
Negative: -1 x -240211475-5 x -48042295-7 x -34315925-25 x -9608459-35 x -6863185-49 x -4902275-109 x -2203775-175 x -1372637-245 x -980455-257 x -934675-343 x -700325-545 x -440755-763 x -314825-1225 x -196091-1285 x -186935-1715 x -140065-1799 x -133525-2725 x -88151-3815 x -62965-5341 x -44975-6425 x -37387-8575 x -28013-8995 x -26705-12593 x -19075


How do I find the factor combinations of the number 240,211,475?

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 240,211,475, 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.

1 240,211,475
-1 -240,211,475

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 240,211,475.

Example:
1 x 240,211,475 = 240,211,475
and
-1 x -240,211,475 = 240,211,475
Notice both answers equal 240,211,475

With that explanation out of the way, let's continue. Next, we take the number 240,211,475 and divide it by 2:

240,211,475 ÷ 2 = 120,105,737.5

If the quotient is a whole number, then 2 and 120,105,737.5 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:

1 240,211,475
-1 -240,211,475

Now, we try dividing 240,211,475 by 3:

240,211,475 ÷ 3 = 80,070,491.6667

If the quotient is a whole number, then 3 and 80,070,491.6667 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:

1 240,211,475
-1 -240,211,475

Let's try dividing by 4:

240,211,475 ÷ 4 = 60,052,868.75

If the quotient is a whole number, then 4 and 60,052,868.75 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:

1 240,211,475
-1 240,211,475
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491091752452573435457631,2251,2851,7151,7992,7253,8155,3416,4258,5758,99512,59319,07526,70528,01337,38744,97562,96588,151133,525140,065186,935196,091314,825440,755700,325934,675980,4551,372,6372,203,7754,902,2756,863,1859,608,45934,315,92548,042,295240,211,475
-1-5-7-25-35-49-109-175-245-257-343-545-763-1,225-1,285-1,715-1,799-2,725-3,815-5,341-6,425-8,575-8,995-12,593-19,075-26,705-28,013-37,387-44,975-62,965-88,151-133,525-140,065-186,935-196,091-314,825-440,755-700,325-934,675-980,455-1,372,637-2,203,775-4,902,275-6,863,185-9,608,459-34,315,925-48,042,295-240,211,475

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