Q: What are the factor combinations of the number 838,431,804?

 A:
Positive:   1 x 8384318042 x 4192159023 x 2794772684 x 2096079516 x 1397386347 x 11977597212 x 6986931714 x 5988798621 x 3992532428 x 2994399342 x 1996266253 x 1581946883 x 1010158884 x 9981331106 x 7909734159 x 5273156166 x 5050794212 x 3954867249 x 3367196318 x 2636578332 x 2525397371 x 2259924498 x 1683598581 x 1443084636 x 1318289742 x 1129962996 x 8417991113 x 7533081162 x 7215421484 x 5649811743 x 4810282226 x 3766542269 x 3695162324 x 3607713486 x 2405144399 x 1905964452 x 1883274538 x 1847586807 x 1231726972 x 1202578798 x 952989076 x 9237913197 x 6353213614 x 6158615883 x 5278817596 x 4764926394 x 3176627228 x 30793
Negative: -1 x -838431804-2 x -419215902-3 x -279477268-4 x -209607951-6 x -139738634-7 x -119775972-12 x -69869317-14 x -59887986-21 x -39925324-28 x -29943993-42 x -19962662-53 x -15819468-83 x -10101588-84 x -9981331-106 x -7909734-159 x -5273156-166 x -5050794-212 x -3954867-249 x -3367196-318 x -2636578-332 x -2525397-371 x -2259924-498 x -1683598-581 x -1443084-636 x -1318289-742 x -1129962-996 x -841799-1113 x -753308-1162 x -721542-1484 x -564981-1743 x -481028-2226 x -376654-2269 x -369516-2324 x -360771-3486 x -240514-4399 x -190596-4452 x -188327-4538 x -184758-6807 x -123172-6972 x -120257-8798 x -95298-9076 x -92379-13197 x -63532-13614 x -61586-15883 x -52788-17596 x -47649-26394 x -31766-27228 x -30793


How do I find the factor combinations of the number 838,431,804?

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 838,431,804, 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.

1 838,431,804
-1 -838,431,804

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 838,431,804.

Example:
1 x 838,431,804 = 838,431,804
and
-1 x -838,431,804 = 838,431,804
Notice both answers equal 838,431,804

With that explanation out of the way, let's continue. Next, we take the number 838,431,804 and divide it by 2:

838,431,804 ÷ 2 = 419,215,902

If the quotient is a whole number, then 2 and 419,215,902 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 2 419,215,902 838,431,804
-1 -2 -419,215,902 -838,431,804

Now, we try dividing 838,431,804 by 3:

838,431,804 ÷ 3 = 279,477,268

If the quotient is a whole number, then 3 and 279,477,268 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 3 279,477,268 419,215,902 838,431,804
-1 -2 -3 -279,477,268 -419,215,902 -838,431,804

Let's try dividing by 4:

838,431,804 ÷ 4 = 209,607,951

If the quotient is a whole number, then 4 and 209,607,951 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 4 209,607,951 279,477,268 419,215,902 838,431,804
-1 -2 -3 -4 -209,607,951 -279,477,268 -419,215,902 838,431,804
Keep dividing by the next highest number until you cannot divide anymore.

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

12346712142128425383841061591662122493183323714985816367429961,1131,1621,4841,7432,2262,2692,3243,4864,3994,4524,5386,8076,9728,7989,07613,19713,61415,88317,59626,39427,22830,79331,76647,64952,78861,58663,53292,37995,298120,257123,172184,758188,327190,596240,514360,771369,516376,654481,028564,981721,542753,308841,7991,129,9621,318,2891,443,0841,683,5982,259,9242,525,3972,636,5783,367,1963,954,8675,050,7945,273,1567,909,7349,981,33110,101,58815,819,46819,962,66229,943,99339,925,32459,887,98669,869,317119,775,972139,738,634209,607,951279,477,268419,215,902838,431,804
-1-2-3-4-6-7-12-14-21-28-42-53-83-84-106-159-166-212-249-318-332-371-498-581-636-742-996-1,113-1,162-1,484-1,743-2,226-2,269-2,324-3,486-4,399-4,452-4,538-6,807-6,972-8,798-9,076-13,197-13,614-15,883-17,596-26,394-27,228-30,793-31,766-47,649-52,788-61,586-63,532-92,379-95,298-120,257-123,172-184,758-188,327-190,596-240,514-360,771-369,516-376,654-481,028-564,981-721,542-753,308-841,799-1,129,962-1,318,289-1,443,084-1,683,598-2,259,924-2,525,397-2,636,578-3,367,196-3,954,867-5,050,794-5,273,156-7,909,734-9,981,331-10,101,588-15,819,468-19,962,662-29,943,993-39,925,324-59,887,986-69,869,317-119,775,972-139,738,634-209,607,951-279,477,268-419,215,902-838,431,804

More Examples

Here are some more numbers to try:

838,431,802838,431,803838,431,805838,431,806
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