Q: What are the factor combinations of the number 23,490,245?

 A:
Positive:   1 x 234902455 x 469804923 x 102131583 x 283015107 x 219535115 x 204263415 x 56603529 x 44405535 x 439071909 x 123052461 x 95452645 x 8881
Negative: -1 x -23490245-5 x -4698049-23 x -1021315-83 x -283015-107 x -219535-115 x -204263-415 x -56603-529 x -44405-535 x -43907-1909 x -12305-2461 x -9545-2645 x -8881


How do I find the factor combinations of the number 23,490,245?

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 23,490,245, 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 23,490,245
-1 -23,490,245

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 23,490,245.

Example:
1 x 23,490,245 = 23,490,245
and
-1 x -23,490,245 = 23,490,245
Notice both answers equal 23,490,245

With that explanation out of the way, let's continue. Next, we take the number 23,490,245 and divide it by 2:

23,490,245 ÷ 2 = 11,745,122.5

If the quotient is a whole number, then 2 and 11,745,122.5 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 23,490,245
-1 -23,490,245

Now, we try dividing 23,490,245 by 3:

23,490,245 ÷ 3 = 7,830,081.6667

If the quotient is a whole number, then 3 and 7,830,081.6667 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 23,490,245
-1 -23,490,245

Let's try dividing by 4:

23,490,245 ÷ 4 = 5,872,561.25

If the quotient is a whole number, then 4 and 5,872,561.25 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 23,490,245
-1 23,490,245
Keep dividing by the next highest number until you cannot divide anymore.

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

1523831071154155295351,9092,4612,6458,8819,54512,30543,90744,40556,603204,263219,535283,0151,021,3154,698,04923,490,245
-1-5-23-83-107-115-415-529-535-1,909-2,461-2,645-8,881-9,545-12,305-43,907-44,405-56,603-204,263-219,535-283,015-1,021,315-4,698,049-23,490,245

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