Q: What are the factor combinations of the number 241,140,259?

 A:
Positive:   1 x 24114025943 x 560791361 x 3953119149 x 1618391617 x 3908272623 x 919336407 x 376379089 x 26531
Negative: -1 x -241140259-43 x -5607913-61 x -3953119-149 x -1618391-617 x -390827-2623 x -91933-6407 x -37637-9089 x -26531


How do I find the factor combinations of the number 241,140,259?

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 241,140,259, 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.

1 241,140,259
-1 -241,140,259

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 241,140,259.

Example:
1 x 241,140,259 = 241,140,259
and
-1 x -241,140,259 = 241,140,259
Notice both answers equal 241,140,259

With that explanation out of the way, let's continue. Next, we take the number 241,140,259 and divide it by 2:

241,140,259 ÷ 2 = 120,570,129.5

If the quotient is a whole number, then 2 and 120,570,129.5 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:

1 241,140,259
-1 -241,140,259

Now, we try dividing 241,140,259 by 3:

241,140,259 ÷ 3 = 80,380,086.3333

If the quotient is a whole number, then 3 and 80,380,086.3333 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:

1 241,140,259
-1 -241,140,259

Let's try dividing by 4:

241,140,259 ÷ 4 = 60,285,064.75

If the quotient is a whole number, then 4 and 60,285,064.75 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:

1 241,140,259
-1 241,140,259
Keep dividing by the next highest number until you cannot divide anymore.

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

143611496172,6236,4079,08926,53137,63791,933390,8271,618,3913,953,1195,607,913241,140,259
-1-43-61-149-617-2,623-6,407-9,089-26,531-37,637-91,933-390,827-1,618,391-3,953,119-5,607,913-241,140,259

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