Q: What are the factor combinations of the number 241,320,443?

 A:
Positive:   1 x 2413204437 x 3447434913 x 1856311149 x 492490759 x 409017791 x 2651873413 x 584311637 x 378839767 x 3146292891 x 834735369 x 449476421 x 37583
Negative: -1 x -241320443-7 x -34474349-13 x -18563111-49 x -4924907-59 x -4090177-91 x -2651873-413 x -584311-637 x -378839-767 x -314629-2891 x -83473-5369 x -44947-6421 x -37583


How do I find the factor combinations of the number 241,320,443?

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 241,320,443, 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.

1 241,320,443
-1 -241,320,443

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 241,320,443.

Example:
1 x 241,320,443 = 241,320,443
and
-1 x -241,320,443 = 241,320,443
Notice both answers equal 241,320,443

With that explanation out of the way, let's continue. Next, we take the number 241,320,443 and divide it by 2:

241,320,443 ÷ 2 = 120,660,221.5

If the quotient is a whole number, then 2 and 120,660,221.5 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:

1 241,320,443
-1 -241,320,443

Now, we try dividing 241,320,443 by 3:

241,320,443 ÷ 3 = 80,440,147.6667

If the quotient is a whole number, then 3 and 80,440,147.6667 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:

1 241,320,443
-1 -241,320,443

Let's try dividing by 4:

241,320,443 ÷ 4 = 60,330,110.75

If the quotient is a whole number, then 4 and 60,330,110.75 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:

1 241,320,443
-1 241,320,443
Keep dividing by the next highest number until you cannot divide anymore.

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

17134959914136377672,8915,3696,42137,58344,94783,473314,629378,839584,3112,651,8734,090,1774,924,90718,563,11134,474,349241,320,443
-1-7-13-49-59-91-413-637-767-2,891-5,369-6,421-37,583-44,947-83,473-314,629-378,839-584,311-2,651,873-4,090,177-4,924,907-18,563,111-34,474,349-241,320,443

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