Q: What are the factor combinations of the number 30,007,800?

 A:
Positive:   1 x 300078002 x 150039003 x 100026004 x 75019505 x 60015606 x 50013008 x 37509759 x 333420010 x 300078012 x 250065015 x 200052018 x 166710020 x 150039024 x 125032525 x 120031227 x 111140030 x 100026036 x 83355040 x 75019545 x 66684050 x 60015654 x 55570060 x 50013072 x 41677575 x 40010490 x 333420100 x 300078108 x 277850120 x 250065135 x 222280150 x 200052180 x 166710200 x 150039216 x 138925225 x 133368270 x 111140300 x 100026360 x 83355450 x 66684540 x 55570600 x 50013675 x 44456900 x 333421080 x 277851350 x 222281800 x 166712700 x 111145400 x 5557
Negative: -1 x -30007800-2 x -15003900-3 x -10002600-4 x -7501950-5 x -6001560-6 x -5001300-8 x -3750975-9 x -3334200-10 x -3000780-12 x -2500650-15 x -2000520-18 x -1667100-20 x -1500390-24 x -1250325-25 x -1200312-27 x -1111400-30 x -1000260-36 x -833550-40 x -750195-45 x -666840-50 x -600156-54 x -555700-60 x -500130-72 x -416775-75 x -400104-90 x -333420-100 x -300078-108 x -277850-120 x -250065-135 x -222280-150 x -200052-180 x -166710-200 x -150039-216 x -138925-225 x -133368-270 x -111140-300 x -100026-360 x -83355-450 x -66684-540 x -55570-600 x -50013-675 x -44456-900 x -33342-1080 x -27785-1350 x -22228-1800 x -16671-2700 x -11114-5400 x -5557


How do I find the factor combinations of the number 30,007,800?

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 30,007,800, 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 30,007,800
-1 -30,007,800

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 30,007,800.

Example:
1 x 30,007,800 = 30,007,800
and
-1 x -30,007,800 = 30,007,800
Notice both answers equal 30,007,800

With that explanation out of the way, let's continue. Next, we take the number 30,007,800 and divide it by 2:

30,007,800 ÷ 2 = 15,003,900

If the quotient is a whole number, then 2 and 15,003,900 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 15,003,900 30,007,800
-1 -2 -15,003,900 -30,007,800

Now, we try dividing 30,007,800 by 3:

30,007,800 ÷ 3 = 10,002,600

If the quotient is a whole number, then 3 and 10,002,600 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 10,002,600 15,003,900 30,007,800
-1 -2 -3 -10,002,600 -15,003,900 -30,007,800

Let's try dividing by 4:

30,007,800 ÷ 4 = 7,501,950

If the quotient is a whole number, then 4 and 7,501,950 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 7,501,950 10,002,600 15,003,900 30,007,800
-1 -2 -3 -4 -7,501,950 -10,002,600 -15,003,900 30,007,800
Keep dividing by the next highest number until you cannot divide anymore.

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

123456891012151820242527303640455054607275901001081201351501802002162252703003604505406006759001,0801,3501,8002,7005,4005,55711,11416,67122,22827,78533,34244,45650,01355,57066,68483,355100,026111,140133,368138,925150,039166,710200,052222,280250,065277,850300,078333,420400,104416,775500,130555,700600,156666,840750,195833,5501,000,2601,111,4001,200,3121,250,3251,500,3901,667,1002,000,5202,500,6503,000,7803,334,2003,750,9755,001,3006,001,5607,501,95010,002,60015,003,90030,007,800
-1-2-3-4-5-6-8-9-10-12-15-18-20-24-25-27-30-36-40-45-50-54-60-72-75-90-100-108-120-135-150-180-200-216-225-270-300-360-450-540-600-675-900-1,080-1,350-1,800-2,700-5,400-5,557-11,114-16,671-22,228-27,785-33,342-44,456-50,013-55,570-66,684-83,355-100,026-111,140-133,368-138,925-150,039-166,710-200,052-222,280-250,065-277,850-300,078-333,420-400,104-416,775-500,130-555,700-600,156-666,840-750,195-833,550-1,000,260-1,111,400-1,200,312-1,250,325-1,500,390-1,667,100-2,000,520-2,500,650-3,000,780-3,334,200-3,750,975-5,001,300-6,001,560-7,501,950-10,002,600-15,003,900-30,007,800

More Examples

Here are some more numbers to try:

30,007,79830,007,79930,007,80130,007,802
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