Q: What are the factor combinations of the number 162,792?

 A:
Positive:   1 x 1627922 x 813963 x 542644 x 406986 x 271327 x 232568 x 203499 x 1808812 x 1356614 x 1162817 x 957618 x 904419 x 856821 x 775224 x 678328 x 581434 x 478836 x 452238 x 428442 x 387651 x 319256 x 290757 x 285663 x 258468 x 239472 x 226176 x 214284 x 1938102 x 1596114 x 1428119 x 1368126 x 1292133 x 1224136 x 1197152 x 1071153 x 1064168 x 969171 x 952204 x 798228 x 714238 x 684252 x 646266 x 612306 x 532323 x 504342 x 476357 x 456399 x 408
Negative: -1 x -162792-2 x -81396-3 x -54264-4 x -40698-6 x -27132-7 x -23256-8 x -20349-9 x -18088-12 x -13566-14 x -11628-17 x -9576-18 x -9044-19 x -8568-21 x -7752-24 x -6783-28 x -5814-34 x -4788-36 x -4522-38 x -4284-42 x -3876-51 x -3192-56 x -2907-57 x -2856-63 x -2584-68 x -2394-72 x -2261-76 x -2142-84 x -1938-102 x -1596-114 x -1428-119 x -1368-126 x -1292-133 x -1224-136 x -1197-152 x -1071-153 x -1064-168 x -969-171 x -952-204 x -798-228 x -714-238 x -684-252 x -646-266 x -612-306 x -532-323 x -504-342 x -476-357 x -456-399 x -408


How do I find the factor combinations of the number 162,792?

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 162,792, 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.

1 162,792
-1 -162,792

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 162,792.

Example:
1 x 162,792 = 162,792
and
-1 x -162,792 = 162,792
Notice both answers equal 162,792

With that explanation out of the way, let's continue. Next, we take the number 162,792 and divide it by 2:

162,792 ÷ 2 = 81,396

If the quotient is a whole number, then 2 and 81,396 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 81,396 162,792
-1 -2 -81,396 -162,792

Now, we try dividing 162,792 by 3:

162,792 ÷ 3 = 54,264

If the quotient is a whole number, then 3 and 54,264 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 54,264 81,396 162,792
-1 -2 -3 -54,264 -81,396 -162,792

Let's try dividing by 4:

162,792 ÷ 4 = 40,698

If the quotient is a whole number, then 4 and 40,698 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 40,698 54,264 81,396 162,792
-1 -2 -3 -4 -40,698 -54,264 -81,396 162,792
Keep dividing by the next highest number until you cannot divide anymore.

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

1234678912141718192124283436384251565763687276841021141191261331361521531681712042282382522663063233423573994084564765045326126466847147989529691,0641,0711,1971,2241,2921,3681,4281,5961,9382,1422,2612,3942,5842,8562,9073,1923,8764,2844,5224,7885,8146,7837,7528,5689,0449,57611,62813,56618,08820,34923,25627,13240,69854,26481,396162,792
-1-2-3-4-6-7-8-9-12-14-17-18-19-21-24-28-34-36-38-42-51-56-57-63-68-72-76-84-102-114-119-126-133-136-152-153-168-171-204-228-238-252-266-306-323-342-357-399-408-456-476-504-532-612-646-684-714-798-952-969-1,064-1,071-1,197-1,224-1,292-1,368-1,428-1,596-1,938-2,142-2,261-2,394-2,584-2,856-2,907-3,192-3,876-4,284-4,522-4,788-5,814-6,783-7,752-8,568-9,044-9,576-11,628-13,566-18,088-20,349-23,256-27,132-40,698-54,264-81,396-162,792

More Examples

Here are some more numbers to try:

162,790162,791162,793162,794
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