Q: What are the factor combinations of the number 241,027,355?

 A:
Positive:   1 x 2410273555 x 482054711097 x 2197155485 x 43943
Negative: -1 x -241027355-5 x -48205471-1097 x -219715-5485 x -43943


How do I find the factor combinations of the number 241,027,355?

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 241,027,355, 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.

1 241,027,355
-1 -241,027,355

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 241,027,355.

Example:
1 x 241,027,355 = 241,027,355
and
-1 x -241,027,355 = 241,027,355
Notice both answers equal 241,027,355

With that explanation out of the way, let's continue. Next, we take the number 241,027,355 and divide it by 2:

241,027,355 ÷ 2 = 120,513,677.5

If the quotient is a whole number, then 2 and 120,513,677.5 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:

1 241,027,355
-1 -241,027,355

Now, we try dividing 241,027,355 by 3:

241,027,355 ÷ 3 = 80,342,451.6667

If the quotient is a whole number, then 3 and 80,342,451.6667 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:

1 241,027,355
-1 -241,027,355

Let's try dividing by 4:

241,027,355 ÷ 4 = 60,256,838.75

If the quotient is a whole number, then 4 and 60,256,838.75 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:

1 241,027,355
-1 241,027,355
Keep dividing by the next highest number until you cannot divide anymore.

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

151,0975,48543,943219,71548,205,471241,027,355
-1-5-1,097-5,485-43,943-219,715-48,205,471-241,027,355

More Examples

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