Q: What are the factor combinations of the number 52,444,163?

 A:
Positive:   1 x 5244416323 x 2280181317 x 1654397193 x 7291
Negative: -1 x -52444163-23 x -2280181-317 x -165439-7193 x -7291


How do I find the factor combinations of the number 52,444,163?

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 52,444,163, 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 52,444,163
-1 -52,444,163

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 52,444,163.

Example:
1 x 52,444,163 = 52,444,163
and
-1 x -52,444,163 = 52,444,163
Notice both answers equal 52,444,163

With that explanation out of the way, let's continue. Next, we take the number 52,444,163 and divide it by 2:

52,444,163 ÷ 2 = 26,222,081.5

If the quotient is a whole number, then 2 and 26,222,081.5 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 52,444,163
-1 -52,444,163

Now, we try dividing 52,444,163 by 3:

52,444,163 ÷ 3 = 17,481,387.6667

If the quotient is a whole number, then 3 and 17,481,387.6667 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 52,444,163
-1 -52,444,163

Let's try dividing by 4:

52,444,163 ÷ 4 = 13,111,040.75

If the quotient is a whole number, then 4 and 13,111,040.75 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 52,444,163
-1 52,444,163
Keep dividing by the next highest number until you cannot divide anymore.

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

1233177,1937,291165,4392,280,18152,444,163
-1-23-317-7,193-7,291-165,439-2,280,181-52,444,163

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 52,444,163:


Ask a Question