Q: What are the factor combinations of the number 522,426,624?

 A:
Positive:   1 x 5224266242 x 2612133123 x 1741422084 x 1306066566 x 870711048 x 6530332812 x 4353555216 x 3265166424 x 2176777632 x 1632583248 x 1088388864 x 816291696 x 5441944128 x 4081458192 x 2720972256 x 2040729384 x 1360486433 x 1206528768 x 680243866 x 6032641299 x 4021761571 x 3325441732 x 3016322598 x 2010883142 x 1662723464 x 1508164713 x 1108485196 x 1005446284 x 831366928 x 754089426 x 5542410392 x 5027212568 x 4156813856 x 3770418852 x 2771220784 x 25136
Negative: -1 x -522426624-2 x -261213312-3 x -174142208-4 x -130606656-6 x -87071104-8 x -65303328-12 x -43535552-16 x -32651664-24 x -21767776-32 x -16325832-48 x -10883888-64 x -8162916-96 x -5441944-128 x -4081458-192 x -2720972-256 x -2040729-384 x -1360486-433 x -1206528-768 x -680243-866 x -603264-1299 x -402176-1571 x -332544-1732 x -301632-2598 x -201088-3142 x -166272-3464 x -150816-4713 x -110848-5196 x -100544-6284 x -83136-6928 x -75408-9426 x -55424-10392 x -50272-12568 x -41568-13856 x -37704-18852 x -27712-20784 x -25136


How do I find the factor combinations of the number 522,426,624?

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 522,426,624, 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.

1 522,426,624
-1 -522,426,624

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 522,426,624.

Example:
1 x 522,426,624 = 522,426,624
and
-1 x -522,426,624 = 522,426,624
Notice both answers equal 522,426,624

With that explanation out of the way, let's continue. Next, we take the number 522,426,624 and divide it by 2:

522,426,624 ÷ 2 = 261,213,312

If the quotient is a whole number, then 2 and 261,213,312 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 261,213,312 522,426,624
-1 -2 -261,213,312 -522,426,624

Now, we try dividing 522,426,624 by 3:

522,426,624 ÷ 3 = 174,142,208

If the quotient is a whole number, then 3 and 174,142,208 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 174,142,208 261,213,312 522,426,624
-1 -2 -3 -174,142,208 -261,213,312 -522,426,624

Let's try dividing by 4:

522,426,624 ÷ 4 = 130,606,656

If the quotient is a whole number, then 4 and 130,606,656 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 130,606,656 174,142,208 261,213,312 522,426,624
-1 -2 -3 -4 -130,606,656 -174,142,208 -261,213,312 522,426,624
Keep dividing by the next highest number until you cannot divide anymore.

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

123468121624324864961281922563844337688661,2991,5711,7322,5983,1423,4644,7135,1966,2846,9289,42610,39212,56813,85618,85220,78425,13627,71237,70441,56850,27255,42475,40883,136100,544110,848150,816166,272201,088301,632332,544402,176603,264680,2431,206,5281,360,4862,040,7292,720,9724,081,4585,441,9448,162,91610,883,88816,325,83221,767,77632,651,66443,535,55265,303,32887,071,104130,606,656174,142,208261,213,312522,426,624
-1-2-3-4-6-8-12-16-24-32-48-64-96-128-192-256-384-433-768-866-1,299-1,571-1,732-2,598-3,142-3,464-4,713-5,196-6,284-6,928-9,426-10,392-12,568-13,856-18,852-20,784-25,136-27,712-37,704-41,568-50,272-55,424-75,408-83,136-100,544-110,848-150,816-166,272-201,088-301,632-332,544-402,176-603,264-680,243-1,206,528-1,360,486-2,040,729-2,720,972-4,081,458-5,441,944-8,162,916-10,883,888-16,325,832-21,767,776-32,651,664-43,535,552-65,303,328-87,071,104-130,606,656-174,142,208-261,213,312-522,426,624

More Examples

Here are some more numbers to try:

522,426,622522,426,623522,426,625522,426,626
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