Q: What are the factor combinations of the number 52,020,804?

 A:
Positive:   1 x 520208042 x 260104023 x 173402684 x 130052016 x 867013411 x 472916412 x 433506722 x 236458233 x 157638844 x 118229166 x 788194121 x 429924132 x 394097242 x 214962363 x 143308484 x 107481726 x 716541331 x 390841452 x 358272662 x 195423257 x 159723993 x 130285324 x 97716514 x 7986
Negative: -1 x -52020804-2 x -26010402-3 x -17340268-4 x -13005201-6 x -8670134-11 x -4729164-12 x -4335067-22 x -2364582-33 x -1576388-44 x -1182291-66 x -788194-121 x -429924-132 x -394097-242 x -214962-363 x -143308-484 x -107481-726 x -71654-1331 x -39084-1452 x -35827-2662 x -19542-3257 x -15972-3993 x -13028-5324 x -9771-6514 x -7986


How do I find the factor combinations of the number 52,020,804?

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 52,020,804, 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 52,020,804
-1 -52,020,804

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 52,020,804.

Example:
1 x 52,020,804 = 52,020,804
and
-1 x -52,020,804 = 52,020,804
Notice both answers equal 52,020,804

With that explanation out of the way, let's continue. Next, we take the number 52,020,804 and divide it by 2:

52,020,804 ÷ 2 = 26,010,402

If the quotient is a whole number, then 2 and 26,010,402 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 26,010,402 52,020,804
-1 -2 -26,010,402 -52,020,804

Now, we try dividing 52,020,804 by 3:

52,020,804 ÷ 3 = 17,340,268

If the quotient is a whole number, then 3 and 17,340,268 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 17,340,268 26,010,402 52,020,804
-1 -2 -3 -17,340,268 -26,010,402 -52,020,804

Let's try dividing by 4:

52,020,804 ÷ 4 = 13,005,201

If the quotient is a whole number, then 4 and 13,005,201 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 13,005,201 17,340,268 26,010,402 52,020,804
-1 -2 -3 -4 -13,005,201 -17,340,268 -26,010,402 52,020,804
Keep dividing by the next highest number until you cannot divide anymore.

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

123461112223344661211322423634847261,3311,4522,6623,2573,9935,3246,5147,9869,77113,02815,97219,54235,82739,08471,654107,481143,308214,962394,097429,924788,1941,182,2911,576,3882,364,5824,335,0674,729,1648,670,13413,005,20117,340,26826,010,40252,020,804
-1-2-3-4-6-11-12-22-33-44-66-121-132-242-363-484-726-1,331-1,452-2,662-3,257-3,993-5,324-6,514-7,986-9,771-13,028-15,972-19,542-35,827-39,084-71,654-107,481-143,308-214,962-394,097-429,924-788,194-1,182,291-1,576,388-2,364,582-4,335,067-4,729,164-8,670,134-13,005,201-17,340,268-26,010,402-52,020,804

More Examples

Here are some more numbers to try:

52,020,80252,020,80352,020,80552,020,806
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