Q: What are the factor combinations of the number 50,655,247?

 A:
Positive:   1 x 5065524743 x 1178029331 x 1530373559 x 14233
Negative: -1 x -50655247-43 x -1178029-331 x -153037-3559 x -14233


How do I find the factor combinations of the number 50,655,247?

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 50,655,247, 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 50,655,247
-1 -50,655,247

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 50,655,247.

Example:
1 x 50,655,247 = 50,655,247
and
-1 x -50,655,247 = 50,655,247
Notice both answers equal 50,655,247

With that explanation out of the way, let's continue. Next, we take the number 50,655,247 and divide it by 2:

50,655,247 ÷ 2 = 25,327,623.5

If the quotient is a whole number, then 2 and 25,327,623.5 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 50,655,247
-1 -50,655,247

Now, we try dividing 50,655,247 by 3:

50,655,247 ÷ 3 = 16,885,082.3333

If the quotient is a whole number, then 3 and 16,885,082.3333 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 50,655,247
-1 -50,655,247

Let's try dividing by 4:

50,655,247 ÷ 4 = 12,663,811.75

If the quotient is a whole number, then 4 and 12,663,811.75 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 50,655,247
-1 50,655,247
Keep dividing by the next highest number until you cannot divide anymore.

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

1433313,55914,233153,0371,178,02950,655,247
-1-43-331-3,559-14,233-153,037-1,178,029-50,655,247

More Examples

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