Q: What are the factor combinations of the number 52,021,343?

 A:
Positive:   1 x 5202134311 x 472921317 x 3060079187 x 278189283 x 183821983 x 529213113 x 167114811 x 10813
Negative: -1 x -52021343-11 x -4729213-17 x -3060079-187 x -278189-283 x -183821-983 x -52921-3113 x -16711-4811 x -10813


How do I find the factor combinations of the number 52,021,343?

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 52,021,343, 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 52,021,343
-1 -52,021,343

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 52,021,343.

Example:
1 x 52,021,343 = 52,021,343
and
-1 x -52,021,343 = 52,021,343
Notice both answers equal 52,021,343

With that explanation out of the way, let's continue. Next, we take the number 52,021,343 and divide it by 2:

52,021,343 ÷ 2 = 26,010,671.5

If the quotient is a whole number, then 2 and 26,010,671.5 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 52,021,343
-1 -52,021,343

Now, we try dividing 52,021,343 by 3:

52,021,343 ÷ 3 = 17,340,447.6667

If the quotient is a whole number, then 3 and 17,340,447.6667 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 52,021,343
-1 -52,021,343

Let's try dividing by 4:

52,021,343 ÷ 4 = 13,005,335.75

If the quotient is a whole number, then 4 and 13,005,335.75 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 52,021,343
-1 52,021,343
Keep dividing by the next highest number until you cannot divide anymore.

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

111171872839833,1134,81110,81316,71152,921183,821278,1893,060,0794,729,21352,021,343
-1-11-17-187-283-983-3,113-4,811-10,813-16,711-52,921-183,821-278,189-3,060,079-4,729,213-52,021,343

More Examples

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