Q: What are the factor combinations of the number 52,001,963?

 A:
Positive:   1 x 5200196313 x 400015117 x 3058939167 x 311389221 x 2353031409 x 369072171 x 239532839 x 18317
Negative: -1 x -52001963-13 x -4000151-17 x -3058939-167 x -311389-221 x -235303-1409 x -36907-2171 x -23953-2839 x -18317


How do I find the factor combinations of the number 52,001,963?

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 52,001,963, 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 52,001,963
-1 -52,001,963

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 52,001,963.

Example:
1 x 52,001,963 = 52,001,963
and
-1 x -52,001,963 = 52,001,963
Notice both answers equal 52,001,963

With that explanation out of the way, let's continue. Next, we take the number 52,001,963 and divide it by 2:

52,001,963 ÷ 2 = 26,000,981.5

If the quotient is a whole number, then 2 and 26,000,981.5 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 52,001,963
-1 -52,001,963

Now, we try dividing 52,001,963 by 3:

52,001,963 ÷ 3 = 17,333,987.6667

If the quotient is a whole number, then 3 and 17,333,987.6667 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 52,001,963
-1 -52,001,963

Let's try dividing by 4:

52,001,963 ÷ 4 = 13,000,490.75

If the quotient is a whole number, then 4 and 13,000,490.75 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 52,001,963
-1 52,001,963
Keep dividing by the next highest number until you cannot divide anymore.

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

113171672211,4092,1712,83918,31723,95336,907235,303311,3893,058,9394,000,15152,001,963
-1-13-17-167-221-1,409-2,171-2,839-18,317-23,953-36,907-235,303-311,389-3,058,939-4,000,151-52,001,963

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