Q: What are the factor combinations of the number 241,131,247?

 A:
Positive:   1 x 2411312477 x 3444732117 x 14184191119 x 2026313467 x 5163413269 x 737634339 x 555737939 x 30373
Negative: -1 x -241131247-7 x -34447321-17 x -14184191-119 x -2026313-467 x -516341-3269 x -73763-4339 x -55573-7939 x -30373


How do I find the factor combinations of the number 241,131,247?

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 241,131,247, 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.

1 241,131,247
-1 -241,131,247

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 241,131,247.

Example:
1 x 241,131,247 = 241,131,247
and
-1 x -241,131,247 = 241,131,247
Notice both answers equal 241,131,247

With that explanation out of the way, let's continue. Next, we take the number 241,131,247 and divide it by 2:

241,131,247 ÷ 2 = 120,565,623.5

If the quotient is a whole number, then 2 and 120,565,623.5 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:

1 241,131,247
-1 -241,131,247

Now, we try dividing 241,131,247 by 3:

241,131,247 ÷ 3 = 80,377,082.3333

If the quotient is a whole number, then 3 and 80,377,082.3333 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:

1 241,131,247
-1 -241,131,247

Let's try dividing by 4:

241,131,247 ÷ 4 = 60,282,811.75

If the quotient is a whole number, then 4 and 60,282,811.75 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:

1 241,131,247
-1 241,131,247
Keep dividing by the next highest number until you cannot divide anymore.

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

17171194673,2694,3397,93930,37355,57373,763516,3412,026,31314,184,19134,447,321241,131,247
-1-7-17-119-467-3,269-4,339-7,939-30,373-55,573-73,763-516,341-2,026,313-14,184,191-34,447,321-241,131,247

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