Q: What are the factor combinations of the number 241,011,407?

 A:
Positive:   1 x 2410114077 x 3443020113 x 1853933941 x 587832791 x 2648477169 x 1426103287 x 839761533 x 4521791183 x 2037293731 x 645974969 x 485036929 x 34783
Negative: -1 x -241011407-7 x -34430201-13 x -18539339-41 x -5878327-91 x -2648477-169 x -1426103-287 x -839761-533 x -452179-1183 x -203729-3731 x -64597-4969 x -48503-6929 x -34783


How do I find the factor combinations of the number 241,011,407?

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 241,011,407, 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.

1 241,011,407
-1 -241,011,407

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 241,011,407.

Example:
1 x 241,011,407 = 241,011,407
and
-1 x -241,011,407 = 241,011,407
Notice both answers equal 241,011,407

With that explanation out of the way, let's continue. Next, we take the number 241,011,407 and divide it by 2:

241,011,407 ÷ 2 = 120,505,703.5

If the quotient is a whole number, then 2 and 120,505,703.5 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:

1 241,011,407
-1 -241,011,407

Now, we try dividing 241,011,407 by 3:

241,011,407 ÷ 3 = 80,337,135.6667

If the quotient is a whole number, then 3 and 80,337,135.6667 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:

1 241,011,407
-1 -241,011,407

Let's try dividing by 4:

241,011,407 ÷ 4 = 60,252,851.75

If the quotient is a whole number, then 4 and 60,252,851.75 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:

1 241,011,407
-1 241,011,407
Keep dividing by the next highest number until you cannot divide anymore.

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

171341911692875331,1833,7314,9696,92934,78348,50364,597203,729452,179839,7611,426,1032,648,4775,878,32718,539,33934,430,201241,011,407
-1-7-13-41-91-169-287-533-1,183-3,731-4,969-6,929-34,783-48,503-64,597-203,729-452,179-839,761-1,426,103-2,648,477-5,878,327-18,539,339-34,430,201-241,011,407

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