Q: What are the factor combinations of the number 1,799,015?

 A:
Positive:   1 x 17990155 x 35980319 x 9468529 x 6203595 x 18937145 x 12407551 x 3265653 x 2755
Negative: -1 x -1799015-5 x -359803-19 x -94685-29 x -62035-95 x -18937-145 x -12407-551 x -3265-653 x -2755


How do I find the factor combinations of the number 1,799,015?

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 1,799,015, 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 1,799,015
-1 -1,799,015

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 1,799,015.

Example:
1 x 1,799,015 = 1,799,015
and
-1 x -1,799,015 = 1,799,015
Notice both answers equal 1,799,015

With that explanation out of the way, let's continue. Next, we take the number 1,799,015 and divide it by 2:

1,799,015 ÷ 2 = 899,507.5

If the quotient is a whole number, then 2 and 899,507.5 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 1,799,015
-1 -1,799,015

Now, we try dividing 1,799,015 by 3:

1,799,015 ÷ 3 = 599,671.6667

If the quotient is a whole number, then 3 and 599,671.6667 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 1,799,015
-1 -1,799,015

Let's try dividing by 4:

1,799,015 ÷ 4 = 449,753.75

If the quotient is a whole number, then 4 and 449,753.75 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 1,799,015
-1 1,799,015
Keep dividing by the next highest number until you cannot divide anymore.

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

151929951455516532,7553,26512,40718,93762,03594,685359,8031,799,015
-1-5-19-29-95-145-551-653-2,755-3,265-12,407-18,937-62,035-94,685-359,803-1,799,015

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