Q: What are the factor combinations of the number 1,502,215?

 A:
Positive:   1 x 15022155 x 30044311 x 13656513 x 11555555 x 2731365 x 23111121 x 12415143 x 10505191 x 7865605 x 2483715 x 2101955 x 1573
Negative: -1 x -1502215-5 x -300443-11 x -136565-13 x -115555-55 x -27313-65 x -23111-121 x -12415-143 x -10505-191 x -7865-605 x -2483-715 x -2101-955 x -1573


How do I find the factor combinations of the number 1,502,215?

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 1,502,215, 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 1,502,215
-1 -1,502,215

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 1,502,215.

Example:
1 x 1,502,215 = 1,502,215
and
-1 x -1,502,215 = 1,502,215
Notice both answers equal 1,502,215

With that explanation out of the way, let's continue. Next, we take the number 1,502,215 and divide it by 2:

1,502,215 ÷ 2 = 751,107.5

If the quotient is a whole number, then 2 and 751,107.5 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 1,502,215
-1 -1,502,215

Now, we try dividing 1,502,215 by 3:

1,502,215 ÷ 3 = 500,738.3333

If the quotient is a whole number, then 3 and 500,738.3333 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 1,502,215
-1 -1,502,215

Let's try dividing by 4:

1,502,215 ÷ 4 = 375,553.75

If the quotient is a whole number, then 4 and 375,553.75 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 1,502,215
-1 1,502,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15111355651211431916057159551,5732,1012,4837,86510,50512,41523,11127,313115,555136,565300,4431,502,215
-1-5-11-13-55-65-121-143-191-605-715-955-1,573-2,101-2,483-7,865-10,505-12,415-23,111-27,313-115,555-136,565-300,443-1,502,215

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