Q: What are the factor combinations of the number 241,315,003?

 A:
Positive:   1 x 24131500329 x 8321207113 x 2135531211 x 1143673349 x 6914473277 x 736396119 x 3943710121 x 23843
Negative: -1 x -241315003-29 x -8321207-113 x -2135531-211 x -1143673-349 x -691447-3277 x -73639-6119 x -39437-10121 x -23843


How do I find the factor combinations of the number 241,315,003?

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 241,315,003, 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.

1 241,315,003
-1 -241,315,003

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 241,315,003.

Example:
1 x 241,315,003 = 241,315,003
and
-1 x -241,315,003 = 241,315,003
Notice both answers equal 241,315,003

With that explanation out of the way, let's continue. Next, we take the number 241,315,003 and divide it by 2:

241,315,003 ÷ 2 = 120,657,501.5

If the quotient is a whole number, then 2 and 120,657,501.5 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:

1 241,315,003
-1 -241,315,003

Now, we try dividing 241,315,003 by 3:

241,315,003 ÷ 3 = 80,438,334.3333

If the quotient is a whole number, then 3 and 80,438,334.3333 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:

1 241,315,003
-1 -241,315,003

Let's try dividing by 4:

241,315,003 ÷ 4 = 60,328,750.75

If the quotient is a whole number, then 4 and 60,328,750.75 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:

1 241,315,003
-1 241,315,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1291132113493,2776,11910,12123,84339,43773,639691,4471,143,6732,135,5318,321,207241,315,003
-1-29-113-211-349-3,277-6,119-10,121-23,843-39,437-73,639-691,447-1,143,673-2,135,531-8,321,207-241,315,003

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