Q: What are the factor combinations of the number 42,101,880?

 A:
Positive:   1 x 421018802 x 210509403 x 140339604 x 105254705 x 84203766 x 70169808 x 526273510 x 421018812 x 350849015 x 280679220 x 210509424 x 175424530 x 140339640 x 105254760 x 70169897 x 434040120 x 350849194 x 217020291 x 144680388 x 108510485 x 86808582 x 72340776 x 54255970 x 434041164 x 361701455 x 289361940 x 217022328 x 180852910 x 144683617 x 116403880 x 108515820 x 7234
Negative: -1 x -42101880-2 x -21050940-3 x -14033960-4 x -10525470-5 x -8420376-6 x -7016980-8 x -5262735-10 x -4210188-12 x -3508490-15 x -2806792-20 x -2105094-24 x -1754245-30 x -1403396-40 x -1052547-60 x -701698-97 x -434040-120 x -350849-194 x -217020-291 x -144680-388 x -108510-485 x -86808-582 x -72340-776 x -54255-970 x -43404-1164 x -36170-1455 x -28936-1940 x -21702-2328 x -18085-2910 x -14468-3617 x -11640-3880 x -10851-5820 x -7234


How do I find the factor combinations of the number 42,101,880?

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 42,101,880, 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 42,101,880
-1 -42,101,880

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 42,101,880.

Example:
1 x 42,101,880 = 42,101,880
and
-1 x -42,101,880 = 42,101,880
Notice both answers equal 42,101,880

With that explanation out of the way, let's continue. Next, we take the number 42,101,880 and divide it by 2:

42,101,880 ÷ 2 = 21,050,940

If the quotient is a whole number, then 2 and 21,050,940 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 21,050,940 42,101,880
-1 -2 -21,050,940 -42,101,880

Now, we try dividing 42,101,880 by 3:

42,101,880 ÷ 3 = 14,033,960

If the quotient is a whole number, then 3 and 14,033,960 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 14,033,960 21,050,940 42,101,880
-1 -2 -3 -14,033,960 -21,050,940 -42,101,880

Let's try dividing by 4:

42,101,880 ÷ 4 = 10,525,470

If the quotient is a whole number, then 4 and 10,525,470 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 10,525,470 14,033,960 21,050,940 42,101,880
-1 -2 -3 -4 -10,525,470 -14,033,960 -21,050,940 42,101,880
Keep dividing by the next highest number until you cannot divide anymore.

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

12345681012152024304060971201942913884855827769701,1641,4551,9402,3282,9103,6173,8805,8207,23410,85111,64014,46818,08521,70228,93636,17043,40454,25572,34086,808108,510144,680217,020350,849434,040701,6981,052,5471,403,3961,754,2452,105,0942,806,7923,508,4904,210,1885,262,7357,016,9808,420,37610,525,47014,033,96021,050,94042,101,880
-1-2-3-4-5-6-8-10-12-15-20-24-30-40-60-97-120-194-291-388-485-582-776-970-1,164-1,455-1,940-2,328-2,910-3,617-3,880-5,820-7,234-10,851-11,640-14,468-18,085-21,702-28,936-36,170-43,404-54,255-72,340-86,808-108,510-144,680-217,020-350,849-434,040-701,698-1,052,547-1,403,396-1,754,245-2,105,094-2,806,792-3,508,490-4,210,188-5,262,735-7,016,980-8,420,376-10,525,470-14,033,960-21,050,940-42,101,880

More Examples

Here are some more numbers to try:

42,101,87842,101,87942,101,88142,101,882
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