Q: What are the factor combinations of the number 38,438,292?

 A:
Positive:   1 x 384382922 x 192191463 x 128127644 x 96095736 x 640638212 x 320319117 x 226107619 x 202306834 x 113053838 x 101153447 x 81783651 x 75369257 x 67435668 x 56526976 x 50576794 x 408918102 x 376846114 x 337178141 x 272612188 x 204459204 x 188423211 x 182172228 x 168589282 x 136306323 x 119004422 x 91086564 x 68153633 x 60724646 x 59502799 x 48108844 x 45543893 x 43044969 x 396681266 x 303621292 x 297511598 x 240541786 x 215221938 x 198342397 x 160362532 x 151812679 x 143483196 x 120273572 x 107613587 x 107163876 x 99174009 x 95884794 x 80185358 x 7174
Negative: -1 x -38438292-2 x -19219146-3 x -12812764-4 x -9609573-6 x -6406382-12 x -3203191-17 x -2261076-19 x -2023068-34 x -1130538-38 x -1011534-47 x -817836-51 x -753692-57 x -674356-68 x -565269-76 x -505767-94 x -408918-102 x -376846-114 x -337178-141 x -272612-188 x -204459-204 x -188423-211 x -182172-228 x -168589-282 x -136306-323 x -119004-422 x -91086-564 x -68153-633 x -60724-646 x -59502-799 x -48108-844 x -45543-893 x -43044-969 x -39668-1266 x -30362-1292 x -29751-1598 x -24054-1786 x -21522-1938 x -19834-2397 x -16036-2532 x -15181-2679 x -14348-3196 x -12027-3572 x -10761-3587 x -10716-3876 x -9917-4009 x -9588-4794 x -8018-5358 x -7174


How do I find the factor combinations of the number 38,438,292?

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 38,438,292, 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 38,438,292
-1 -38,438,292

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 38,438,292.

Example:
1 x 38,438,292 = 38,438,292
and
-1 x -38,438,292 = 38,438,292
Notice both answers equal 38,438,292

With that explanation out of the way, let's continue. Next, we take the number 38,438,292 and divide it by 2:

38,438,292 ÷ 2 = 19,219,146

If the quotient is a whole number, then 2 and 19,219,146 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 19,219,146 38,438,292
-1 -2 -19,219,146 -38,438,292

Now, we try dividing 38,438,292 by 3:

38,438,292 ÷ 3 = 12,812,764

If the quotient is a whole number, then 3 and 12,812,764 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 12,812,764 19,219,146 38,438,292
-1 -2 -3 -12,812,764 -19,219,146 -38,438,292

Let's try dividing by 4:

38,438,292 ÷ 4 = 9,609,573

If the quotient is a whole number, then 4 and 9,609,573 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 9,609,573 12,812,764 19,219,146 38,438,292
-1 -2 -3 -4 -9,609,573 -12,812,764 -19,219,146 38,438,292
Keep dividing by the next highest number until you cannot divide anymore.

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

1234612171934384751576876941021141411882042112282823234225646336467998448939691,2661,2921,5981,7861,9382,3972,5322,6793,1963,5723,5873,8764,0094,7945,3587,1748,0189,5889,91710,71610,76112,02714,34815,18116,03619,83421,52224,05429,75130,36239,66843,04445,54348,10859,50260,72468,15391,086119,004136,306168,589182,172188,423204,459272,612337,178376,846408,918505,767565,269674,356753,692817,8361,011,5341,130,5382,023,0682,261,0763,203,1916,406,3829,609,57312,812,76419,219,14638,438,292
-1-2-3-4-6-12-17-19-34-38-47-51-57-68-76-94-102-114-141-188-204-211-228-282-323-422-564-633-646-799-844-893-969-1,266-1,292-1,598-1,786-1,938-2,397-2,532-2,679-3,196-3,572-3,587-3,876-4,009-4,794-5,358-7,174-8,018-9,588-9,917-10,716-10,761-12,027-14,348-15,181-16,036-19,834-21,522-24,054-29,751-30,362-39,668-43,044-45,543-48,108-59,502-60,724-68,153-91,086-119,004-136,306-168,589-182,172-188,423-204,459-272,612-337,178-376,846-408,918-505,767-565,269-674,356-753,692-817,836-1,011,534-1,130,538-2,023,068-2,261,076-3,203,191-6,406,382-9,609,573-12,812,764-19,219,146-38,438,292

More Examples

Here are some more numbers to try:

38,438,29038,438,29138,438,29338,438,294
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