Q: What are the factor combinations of the number 120,250,800?

 A:
Positive:   1 x 1202508002 x 601254003 x 400836004 x 300627005 x 240501606 x 200418008 x 150313509 x 1336120010 x 1202508012 x 1002090015 x 801672016 x 751567518 x 668060020 x 601254024 x 501045025 x 481003230 x 400836036 x 334030040 x 300627045 x 267224048 x 250522550 x 240501660 x 200418072 x 167015075 x 160334480 x 150313590 x 1336120100 x 1202508120 x 1002090144 x 835075150 x 801672180 x 668060200 x 601254225 x 534448240 x 501045300 x 400836360 x 334030400 x 300627450 x 267224600 x 200418720 x 167015900 x 1336121200 x 1002091800 x 668063600 x 33403
Negative: -1 x -120250800-2 x -60125400-3 x -40083600-4 x -30062700-5 x -24050160-6 x -20041800-8 x -15031350-9 x -13361200-10 x -12025080-12 x -10020900-15 x -8016720-16 x -7515675-18 x -6680600-20 x -6012540-24 x -5010450-25 x -4810032-30 x -4008360-36 x -3340300-40 x -3006270-45 x -2672240-48 x -2505225-50 x -2405016-60 x -2004180-72 x -1670150-75 x -1603344-80 x -1503135-90 x -1336120-100 x -1202508-120 x -1002090-144 x -835075-150 x -801672-180 x -668060-200 x -601254-225 x -534448-240 x -501045-300 x -400836-360 x -334030-400 x -300627-450 x -267224-600 x -200418-720 x -167015-900 x -133612-1200 x -100209-1800 x -66806-3600 x -33403


How do I find the factor combinations of the number 120,250,800?

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 120,250,800, 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.

1 120,250,800
-1 -120,250,800

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 120,250,800.

Example:
1 x 120,250,800 = 120,250,800
and
-1 x -120,250,800 = 120,250,800
Notice both answers equal 120,250,800

With that explanation out of the way, let's continue. Next, we take the number 120,250,800 and divide it by 2:

120,250,800 ÷ 2 = 60,125,400

If the quotient is a whole number, then 2 and 60,125,400 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 60,125,400 120,250,800
-1 -2 -60,125,400 -120,250,800

Now, we try dividing 120,250,800 by 3:

120,250,800 ÷ 3 = 40,083,600

If the quotient is a whole number, then 3 and 40,083,600 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 40,083,600 60,125,400 120,250,800
-1 -2 -3 -40,083,600 -60,125,400 -120,250,800

Let's try dividing by 4:

120,250,800 ÷ 4 = 30,062,700

If the quotient is a whole number, then 4 and 30,062,700 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 30,062,700 40,083,600 60,125,400 120,250,800
-1 -2 -3 -4 -30,062,700 -40,083,600 -60,125,400 120,250,800
Keep dividing by the next highest number until you cannot divide anymore.

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

12345689101215161820242530364045485060727580901001201441501802002252403003604004506007209001,2001,8003,60033,40366,806100,209133,612167,015200,418267,224300,627334,030400,836501,045534,448601,254668,060801,672835,0751,002,0901,202,5081,336,1201,503,1351,603,3441,670,1502,004,1802,405,0162,505,2252,672,2403,006,2703,340,3004,008,3604,810,0325,010,4506,012,5406,680,6007,515,6758,016,72010,020,90012,025,08013,361,20015,031,35020,041,80024,050,16030,062,70040,083,60060,125,400120,250,800
-1-2-3-4-5-6-8-9-10-12-15-16-18-20-24-25-30-36-40-45-48-50-60-72-75-80-90-100-120-144-150-180-200-225-240-300-360-400-450-600-720-900-1,200-1,800-3,600-33,403-66,806-100,209-133,612-167,015-200,418-267,224-300,627-334,030-400,836-501,045-534,448-601,254-668,060-801,672-835,075-1,002,090-1,202,508-1,336,120-1,503,135-1,603,344-1,670,150-2,004,180-2,405,016-2,505,225-2,672,240-3,006,270-3,340,300-4,008,360-4,810,032-5,010,450-6,012,540-6,680,600-7,515,675-8,016,720-10,020,900-12,025,080-13,361,200-15,031,350-20,041,800-24,050,160-30,062,700-40,083,600-60,125,400-120,250,800

More Examples

Here are some more numbers to try:

120,250,798120,250,799120,250,801120,250,802
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