Q: What are the factor combinations of the number 165,138,804?

 A:
Positive:   1 x 1651388042 x 825694023 x 550462684 x 412847016 x 275231349 x 1834875612 x 1376156718 x 917437819 x 869151623 x 717994827 x 611625236 x 458718938 x 434575846 x 358997454 x 305812657 x 289717269 x 239331676 x 217287992 x 1794987108 x 1529063114 x 1448586138 x 1196658171 x 965724207 x 797772228 x 724293276 x 598329342 x 482862414 x 398886437 x 377892513 x 321908621 x 265924684 x 241431828 x 199443874 x 1889461026 x 1609541242 x 1329621311 x 1259641748 x 944732052 x 804772484 x 664812622 x 629823499 x 471963933 x 419885244 x 314916998 x 235987866 x 2099410497 x 1573211799 x 13996
Negative: -1 x -165138804-2 x -82569402-3 x -55046268-4 x -41284701-6 x -27523134-9 x -18348756-12 x -13761567-18 x -9174378-19 x -8691516-23 x -7179948-27 x -6116252-36 x -4587189-38 x -4345758-46 x -3589974-54 x -3058126-57 x -2897172-69 x -2393316-76 x -2172879-92 x -1794987-108 x -1529063-114 x -1448586-138 x -1196658-171 x -965724-207 x -797772-228 x -724293-276 x -598329-342 x -482862-414 x -398886-437 x -377892-513 x -321908-621 x -265924-684 x -241431-828 x -199443-874 x -188946-1026 x -160954-1242 x -132962-1311 x -125964-1748 x -94473-2052 x -80477-2484 x -66481-2622 x -62982-3499 x -47196-3933 x -41988-5244 x -31491-6998 x -23598-7866 x -20994-10497 x -15732-11799 x -13996


How do I find the factor combinations of the number 165,138,804?

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 165,138,804, 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.

1 165,138,804
-1 -165,138,804

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 165,138,804.

Example:
1 x 165,138,804 = 165,138,804
and
-1 x -165,138,804 = 165,138,804
Notice both answers equal 165,138,804

With that explanation out of the way, let's continue. Next, we take the number 165,138,804 and divide it by 2:

165,138,804 ÷ 2 = 82,569,402

If the quotient is a whole number, then 2 and 82,569,402 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 82,569,402 165,138,804
-1 -2 -82,569,402 -165,138,804

Now, we try dividing 165,138,804 by 3:

165,138,804 ÷ 3 = 55,046,268

If the quotient is a whole number, then 3 and 55,046,268 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 55,046,268 82,569,402 165,138,804
-1 -2 -3 -55,046,268 -82,569,402 -165,138,804

Let's try dividing by 4:

165,138,804 ÷ 4 = 41,284,701

If the quotient is a whole number, then 4 and 41,284,701 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 41,284,701 55,046,268 82,569,402 165,138,804
-1 -2 -3 -4 -41,284,701 -55,046,268 -82,569,402 165,138,804
Keep dividing by the next highest number until you cannot divide anymore.

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

123469121819232736384654576976921081141381712072282763424144375136216848288741,0261,2421,3111,7482,0522,4842,6223,4993,9335,2446,9987,86610,49711,79913,99615,73220,99423,59831,49141,98847,19662,98266,48180,47794,473125,964132,962160,954188,946199,443241,431265,924321,908377,892398,886482,862598,329724,293797,772965,7241,196,6581,448,5861,529,0631,794,9872,172,8792,393,3162,897,1723,058,1263,589,9744,345,7584,587,1896,116,2527,179,9488,691,5169,174,37813,761,56718,348,75627,523,13441,284,70155,046,26882,569,402165,138,804
-1-2-3-4-6-9-12-18-19-23-27-36-38-46-54-57-69-76-92-108-114-138-171-207-228-276-342-414-437-513-621-684-828-874-1,026-1,242-1,311-1,748-2,052-2,484-2,622-3,499-3,933-5,244-6,998-7,866-10,497-11,799-13,996-15,732-20,994-23,598-31,491-41,988-47,196-62,982-66,481-80,477-94,473-125,964-132,962-160,954-188,946-199,443-241,431-265,924-321,908-377,892-398,886-482,862-598,329-724,293-797,772-965,724-1,196,658-1,448,586-1,529,063-1,794,987-2,172,879-2,393,316-2,897,172-3,058,126-3,589,974-4,345,758-4,587,189-6,116,252-7,179,948-8,691,516-9,174,378-13,761,567-18,348,756-27,523,134-41,284,701-55,046,268-82,569,402-165,138,804

More Examples

Here are some more numbers to try:

165,138,802165,138,803165,138,805165,138,806
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