Q: What are the factor combinations of the number 107,878,760?

 A:
Positive:   1 x 1078787602 x 539393804 x 269696905 x 215757528 x 1348484510 x 1078787611 x 980716020 x 539393822 x 490358031 x 347996040 x 269696944 x 245179055 x 196143262 x 173998088 x 1225895110 x 980716121 x 891560124 x 869990155 x 695992220 x 490358242 x 445780248 x 434995310 x 347996341 x 316360440 x 245179484 x 222890605 x 178312620 x 173998682 x 158180719 x 150040968 x 1114451210 x 891561240 x 869991364 x 790901438 x 750201705 x 632722420 x 445782728 x 395452876 x 375103410 x 316363595 x 300083751 x 287604840 x 222895752 x 187556820 x 158187190 x 150047502 x 143807909 x 13640
Negative: -1 x -107878760-2 x -53939380-4 x -26969690-5 x -21575752-8 x -13484845-10 x -10787876-11 x -9807160-20 x -5393938-22 x -4903580-31 x -3479960-40 x -2696969-44 x -2451790-55 x -1961432-62 x -1739980-88 x -1225895-110 x -980716-121 x -891560-124 x -869990-155 x -695992-220 x -490358-242 x -445780-248 x -434995-310 x -347996-341 x -316360-440 x -245179-484 x -222890-605 x -178312-620 x -173998-682 x -158180-719 x -150040-968 x -111445-1210 x -89156-1240 x -86999-1364 x -79090-1438 x -75020-1705 x -63272-2420 x -44578-2728 x -39545-2876 x -37510-3410 x -31636-3595 x -30008-3751 x -28760-4840 x -22289-5752 x -18755-6820 x -15818-7190 x -15004-7502 x -14380-7909 x -13640


How do I find the factor combinations of the number 107,878,760?

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 107,878,760, 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.

1 107,878,760
-1 -107,878,760

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 107,878,760.

Example:
1 x 107,878,760 = 107,878,760
and
-1 x -107,878,760 = 107,878,760
Notice both answers equal 107,878,760

With that explanation out of the way, let's continue. Next, we take the number 107,878,760 and divide it by 2:

107,878,760 ÷ 2 = 53,939,380

If the quotient is a whole number, then 2 and 53,939,380 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 53,939,380 107,878,760
-1 -2 -53,939,380 -107,878,760

Now, we try dividing 107,878,760 by 3:

107,878,760 ÷ 3 = 35,959,586.6667

If the quotient is a whole number, then 3 and 35,959,586.6667 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 53,939,380 107,878,760
-1 -2 -53,939,380 -107,878,760

Let's try dividing by 4:

107,878,760 ÷ 4 = 26,969,690

If the quotient is a whole number, then 4 and 26,969,690 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 26,969,690 53,939,380 107,878,760
-1 -2 -4 -26,969,690 -53,939,380 107,878,760
Keep dividing by the next highest number until you cannot divide anymore.

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

12458101120223140445562881101211241552202422483103414404846056206827199681,2101,2401,3641,4381,7052,4202,7282,8763,4103,5953,7514,8405,7526,8207,1907,5027,90913,64014,38015,00415,81818,75522,28928,76030,00831,63637,51039,54544,57863,27275,02079,09086,99989,156111,445150,040158,180173,998178,312222,890245,179316,360347,996434,995445,780490,358695,992869,990891,560980,7161,225,8951,739,9801,961,4322,451,7902,696,9693,479,9604,903,5805,393,9389,807,16010,787,87613,484,84521,575,75226,969,69053,939,380107,878,760
-1-2-4-5-8-10-11-20-22-31-40-44-55-62-88-110-121-124-155-220-242-248-310-341-440-484-605-620-682-719-968-1,210-1,240-1,364-1,438-1,705-2,420-2,728-2,876-3,410-3,595-3,751-4,840-5,752-6,820-7,190-7,502-7,909-13,640-14,380-15,004-15,818-18,755-22,289-28,760-30,008-31,636-37,510-39,545-44,578-63,272-75,020-79,090-86,999-89,156-111,445-150,040-158,180-173,998-178,312-222,890-245,179-316,360-347,996-434,995-445,780-490,358-695,992-869,990-891,560-980,716-1,225,895-1,739,980-1,961,432-2,451,790-2,696,969-3,479,960-4,903,580-5,393,938-9,807,160-10,787,876-13,484,845-21,575,752-26,969,690-53,939,380-107,878,760

More Examples

Here are some more numbers to try:

107,878,758107,878,759107,878,761107,878,762
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