Q: What are the factor combinations of the number 472,016,804?

 A:
Positive:   1 x 4720168042 x 2360084024 x 1180042017 x 6743097214 x 3371548628 x 1685774349 x 963299671 x 664812498 x 4816498107 x 4411372142 x 3324062196 x 2408249214 x 2205686284 x 1662031317 x 1489012428 x 1102843497 x 949732634 x 744506749 x 630196994 x 4748661268 x 3722531498 x 3150981988 x 2374332219 x 2127162996 x 1575493479 x 1356764438 x 1063585243 x 900286958 x 678387597 x 621328876 x 5317910486 x 4501413916 x 3391915194 x 3106615533 x 3038820972 x 22507
Negative: -1 x -472016804-2 x -236008402-4 x -118004201-7 x -67430972-14 x -33715486-28 x -16857743-49 x -9632996-71 x -6648124-98 x -4816498-107 x -4411372-142 x -3324062-196 x -2408249-214 x -2205686-284 x -1662031-317 x -1489012-428 x -1102843-497 x -949732-634 x -744506-749 x -630196-994 x -474866-1268 x -372253-1498 x -315098-1988 x -237433-2219 x -212716-2996 x -157549-3479 x -135676-4438 x -106358-5243 x -90028-6958 x -67838-7597 x -62132-8876 x -53179-10486 x -45014-13916 x -33919-15194 x -31066-15533 x -30388-20972 x -22507


How do I find the factor combinations of the number 472,016,804?

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 472,016,804, 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.

1 472,016,804
-1 -472,016,804

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 472,016,804.

Example:
1 x 472,016,804 = 472,016,804
and
-1 x -472,016,804 = 472,016,804
Notice both answers equal 472,016,804

With that explanation out of the way, let's continue. Next, we take the number 472,016,804 and divide it by 2:

472,016,804 ÷ 2 = 236,008,402

If the quotient is a whole number, then 2 and 236,008,402 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 2 236,008,402 472,016,804
-1 -2 -236,008,402 -472,016,804

Now, we try dividing 472,016,804 by 3:

472,016,804 ÷ 3 = 157,338,934.6667

If the quotient is a whole number, then 3 and 157,338,934.6667 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 2 236,008,402 472,016,804
-1 -2 -236,008,402 -472,016,804

Let's try dividing by 4:

472,016,804 ÷ 4 = 118,004,201

If the quotient is a whole number, then 4 and 118,004,201 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 4 118,004,201 236,008,402 472,016,804
-1 -2 -4 -118,004,201 -236,008,402 472,016,804
Keep dividing by the next highest number until you cannot divide anymore.

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

124714284971981071421962142843174284976347499941,2681,4981,9882,2192,9963,4794,4385,2436,9587,5978,87610,48613,91615,19415,53320,97222,50730,38831,06633,91945,01453,17962,13267,83890,028106,358135,676157,549212,716237,433315,098372,253474,866630,196744,506949,7321,102,8431,489,0121,662,0312,205,6862,408,2493,324,0624,411,3724,816,4986,648,1249,632,99616,857,74333,715,48667,430,972118,004,201236,008,402472,016,804
-1-2-4-7-14-28-49-71-98-107-142-196-214-284-317-428-497-634-749-994-1,268-1,498-1,988-2,219-2,996-3,479-4,438-5,243-6,958-7,597-8,876-10,486-13,916-15,194-15,533-20,972-22,507-30,388-31,066-33,919-45,014-53,179-62,132-67,838-90,028-106,358-135,676-157,549-212,716-237,433-315,098-372,253-474,866-630,196-744,506-949,732-1,102,843-1,489,012-1,662,031-2,205,686-2,408,249-3,324,062-4,411,372-4,816,498-6,648,124-9,632,996-16,857,743-33,715,486-67,430,972-118,004,201-236,008,402-472,016,804

More Examples

Here are some more numbers to try:

472,016,802472,016,803472,016,805472,016,806
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