Q: What are the factor combinations of the number 421,212,240?

 A:
Positive:   1 x 4212122402 x 2106061203 x 1404040804 x 1053030605 x 842424486 x 702020408 x 526515309 x 4680136010 x 4212122412 x 3510102015 x 2808081616 x 2632576518 x 2340068020 x 2106061224 x 1755051029 x 1452456030 x 1404040836 x 1170034040 x 1053030645 x 936027248 x 877525558 x 726228060 x 702020472 x 585017080 x 526515387 x 484152090 x 4680136116 x 3631140120 x 3510102144 x 2925085145 x 2904912174 x 2420760180 x 2340068232 x 1815570240 x 1755051261 x 1613840290 x 1452456348 x 1210380360 x 1170034435 x 968304464 x 907785522 x 806920580 x 726228696 x 605190720 x 585017870 x 4841521044 x 4034601160 x 3631141305 x 3227681392 x 3025951740 x 2420762088 x 2017302320 x 1815572610 x 1613843480 x 1210384176 x 1008655220 x 806926960 x 6051910440 x 4034620173 x 20880
Negative: -1 x -421212240-2 x -210606120-3 x -140404080-4 x -105303060-5 x -84242448-6 x -70202040-8 x -52651530-9 x -46801360-10 x -42121224-12 x -35101020-15 x -28080816-16 x -26325765-18 x -23400680-20 x -21060612-24 x -17550510-29 x -14524560-30 x -14040408-36 x -11700340-40 x -10530306-45 x -9360272-48 x -8775255-58 x -7262280-60 x -7020204-72 x -5850170-80 x -5265153-87 x -4841520-90 x -4680136-116 x -3631140-120 x -3510102-144 x -2925085-145 x -2904912-174 x -2420760-180 x -2340068-232 x -1815570-240 x -1755051-261 x -1613840-290 x -1452456-348 x -1210380-360 x -1170034-435 x -968304-464 x -907785-522 x -806920-580 x -726228-696 x -605190-720 x -585017-870 x -484152-1044 x -403460-1160 x -363114-1305 x -322768-1392 x -302595-1740 x -242076-2088 x -201730-2320 x -181557-2610 x -161384-3480 x -121038-4176 x -100865-5220 x -80692-6960 x -60519-10440 x -40346-20173 x -20880


How do I find the factor combinations of the number 421,212,240?

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 421,212,240, 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.

1 421,212,240
-1 -421,212,240

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 421,212,240.

Example:
1 x 421,212,240 = 421,212,240
and
-1 x -421,212,240 = 421,212,240
Notice both answers equal 421,212,240

With that explanation out of the way, let's continue. Next, we take the number 421,212,240 and divide it by 2:

421,212,240 ÷ 2 = 210,606,120

If the quotient is a whole number, then 2 and 210,606,120 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 2 210,606,120 421,212,240
-1 -2 -210,606,120 -421,212,240

Now, we try dividing 421,212,240 by 3:

421,212,240 ÷ 3 = 140,404,080

If the quotient is a whole number, then 3 and 140,404,080 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 3 140,404,080 210,606,120 421,212,240
-1 -2 -3 -140,404,080 -210,606,120 -421,212,240

Let's try dividing by 4:

421,212,240 ÷ 4 = 105,303,060

If the quotient is a whole number, then 4 and 105,303,060 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 4 105,303,060 140,404,080 210,606,120 421,212,240
-1 -2 -3 -4 -105,303,060 -140,404,080 -210,606,120 421,212,240
Keep dividing by the next highest number until you cannot divide anymore.

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

12345689101215161820242930364045485860728087901161201441451741802322402612903483604354645225806967208701,0441,1601,3051,3921,7402,0882,3202,6103,4804,1765,2206,96010,44020,17320,88040,34660,51980,692100,865121,038161,384181,557201,730242,076302,595322,768363,114403,460484,152585,017605,190726,228806,920907,785968,3041,170,0341,210,3801,452,4561,613,8401,755,0511,815,5702,340,0682,420,7602,904,9122,925,0853,510,1023,631,1404,680,1364,841,5205,265,1535,850,1707,020,2047,262,2808,775,2559,360,27210,530,30611,700,34014,040,40814,524,56017,550,51021,060,61223,400,68026,325,76528,080,81635,101,02042,121,22446,801,36052,651,53070,202,04084,242,448105,303,060140,404,080210,606,120421,212,240
-1-2-3-4-5-6-8-9-10-12-15-16-18-20-24-29-30-36-40-45-48-58-60-72-80-87-90-116-120-144-145-174-180-232-240-261-290-348-360-435-464-522-580-696-720-870-1,044-1,160-1,305-1,392-1,740-2,088-2,320-2,610-3,480-4,176-5,220-6,960-10,440-20,173-20,880-40,346-60,519-80,692-100,865-121,038-161,384-181,557-201,730-242,076-302,595-322,768-363,114-403,460-484,152-585,017-605,190-726,228-806,920-907,785-968,304-1,170,034-1,210,380-1,452,456-1,613,840-1,755,051-1,815,570-2,340,068-2,420,760-2,904,912-2,925,085-3,510,102-3,631,140-4,680,136-4,841,520-5,265,153-5,850,170-7,020,204-7,262,280-8,775,255-9,360,272-10,530,306-11,700,340-14,040,408-14,524,560-17,550,510-21,060,612-23,400,680-26,325,765-28,080,816-35,101,020-42,121,224-46,801,360-52,651,530-70,202,040-84,242,448-105,303,060-140,404,080-210,606,120-421,212,240

More Examples

Here are some more numbers to try:

421,212,238421,212,239421,212,241421,212,242
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