Q: What are the factor combinations of the number 241,424,015?

 A:
Positive:   1 x 2414240155 x 482848037 x 3448914535 x 6897829
Negative: -1 x -241424015-5 x -48284803-7 x -34489145-35 x -6897829


How do I find the factor combinations of the number 241,424,015?

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 241,424,015, 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.

1 241,424,015
-1 -241,424,015

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 241,424,015.

Example:
1 x 241,424,015 = 241,424,015
and
-1 x -241,424,015 = 241,424,015
Notice both answers equal 241,424,015

With that explanation out of the way, let's continue. Next, we take the number 241,424,015 and divide it by 2:

241,424,015 ÷ 2 = 120,712,007.5

If the quotient is a whole number, then 2 and 120,712,007.5 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:

1 241,424,015
-1 -241,424,015

Now, we try dividing 241,424,015 by 3:

241,424,015 ÷ 3 = 80,474,671.6667

If the quotient is a whole number, then 3 and 80,474,671.6667 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:

1 241,424,015
-1 -241,424,015

Let's try dividing by 4:

241,424,015 ÷ 4 = 60,356,003.75

If the quotient is a whole number, then 4 and 60,356,003.75 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:

1 241,424,015
-1 241,424,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157356,897,82934,489,14548,284,803241,424,015
-1-5-7-35-6,897,829-34,489,145-48,284,803-241,424,015

More Examples

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