Q: What are the factor combinations of the number 7,022,015?

 A:
Positive:   1 x 70220155 x 14044037 x 100314511 x 63836513 x 54015523 x 30530535 x 20062955 x 12767361 x 11511565 x 10803177 x 9119591 x 77165115 x 61061143 x 49105161 x 43615253 x 27755299 x 23485305 x 23023385 x 18239427 x 16445455 x 15433671 x 10465715 x 9821793 x 8855805 x 87231001 x 70151265 x 55511403 x 50051495 x 46971771 x 39652093 x 33552135 x 3289
Negative: -1 x -7022015-5 x -1404403-7 x -1003145-11 x -638365-13 x -540155-23 x -305305-35 x -200629-55 x -127673-61 x -115115-65 x -108031-77 x -91195-91 x -77165-115 x -61061-143 x -49105-161 x -43615-253 x -27755-299 x -23485-305 x -23023-385 x -18239-427 x -16445-455 x -15433-671 x -10465-715 x -9821-793 x -8855-805 x -8723-1001 x -7015-1265 x -5551-1403 x -5005-1495 x -4697-1771 x -3965-2093 x -3355-2135 x -3289


How do I find the factor combinations of the number 7,022,015?

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 7,022,015, 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 7,022,015
-1 -7,022,015

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 7,022,015.

Example:
1 x 7,022,015 = 7,022,015
and
-1 x -7,022,015 = 7,022,015
Notice both answers equal 7,022,015

With that explanation out of the way, let's continue. Next, we take the number 7,022,015 and divide it by 2:

7,022,015 ÷ 2 = 3,511,007.5

If the quotient is a whole number, then 2 and 3,511,007.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,022,015
-1 -7,022,015

Now, we try dividing 7,022,015 by 3:

7,022,015 ÷ 3 = 2,340,671.6667

If the quotient is a whole number, then 3 and 2,340,671.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,022,015
-1 -7,022,015

Let's try dividing by 4:

7,022,015 ÷ 4 = 1,755,503.75

If the quotient is a whole number, then 4 and 1,755,503.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 7,022,015
-1 7,022,015
Keep dividing by the next highest number until you cannot divide anymore.

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

1571113233555616577911151431612532993053854274556717157938051,0011,2651,4031,4951,7712,0932,1353,2893,3553,9654,6975,0055,5517,0158,7238,8559,82110,46515,43316,44518,23923,02323,48527,75543,61549,10561,06177,16591,195108,031115,115127,673200,629305,305540,155638,3651,003,1451,404,4037,022,015
-1-5-7-11-13-23-35-55-61-65-77-91-115-143-161-253-299-305-385-427-455-671-715-793-805-1,001-1,265-1,403-1,495-1,771-2,093-2,135-3,289-3,355-3,965-4,697-5,005-5,551-7,015-8,723-8,855-9,821-10,465-15,433-16,445-18,239-23,023-23,485-27,755-43,615-49,105-61,061-77,165-91,195-108,031-115,115-127,673-200,629-305,305-540,155-638,365-1,003,145-1,404,403-7,022,015

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