Q: What are the factor combinations of the number 50,646,013?

 A:
Positive:   1 x 5064601311 x 460418359 x 85840773 x 693781649 x 78037803 x 630711069 x 473774307 x 11759
Negative: -1 x -50646013-11 x -4604183-59 x -858407-73 x -693781-649 x -78037-803 x -63071-1069 x -47377-4307 x -11759


How do I find the factor combinations of the number 50,646,013?

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 50,646,013, 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 50,646,013
-1 -50,646,013

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 50,646,013.

Example:
1 x 50,646,013 = 50,646,013
and
-1 x -50,646,013 = 50,646,013
Notice both answers equal 50,646,013

With that explanation out of the way, let's continue. Next, we take the number 50,646,013 and divide it by 2:

50,646,013 ÷ 2 = 25,323,006.5

If the quotient is a whole number, then 2 and 25,323,006.5 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 50,646,013
-1 -50,646,013

Now, we try dividing 50,646,013 by 3:

50,646,013 ÷ 3 = 16,882,004.3333

If the quotient is a whole number, then 3 and 16,882,004.3333 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 50,646,013
-1 -50,646,013

Let's try dividing by 4:

50,646,013 ÷ 4 = 12,661,503.25

If the quotient is a whole number, then 4 and 12,661,503.25 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 50,646,013
-1 50,646,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11159736498031,0694,30711,75947,37763,07178,037693,781858,4074,604,18350,646,013
-1-11-59-73-649-803-1,069-4,307-11,759-47,377-63,071-78,037-693,781-858,407-4,604,183-50,646,013

More Examples

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