Q: What are the factor combinations of the number 1,798,825?

 A:
Positive:   1 x 17988255 x 3597657 x 25697519 x 9467525 x 7195335 x 5139595 x 18935133 x 13525175 x 10279475 x 3787541 x 3325665 x 2705
Negative: -1 x -1798825-5 x -359765-7 x -256975-19 x -94675-25 x -71953-35 x -51395-95 x -18935-133 x -13525-175 x -10279-475 x -3787-541 x -3325-665 x -2705


How do I find the factor combinations of the number 1,798,825?

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 1,798,825, 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 1,798,825
-1 -1,798,825

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 1,798,825.

Example:
1 x 1,798,825 = 1,798,825
and
-1 x -1,798,825 = 1,798,825
Notice both answers equal 1,798,825

With that explanation out of the way, let's continue. Next, we take the number 1,798,825 and divide it by 2:

1,798,825 ÷ 2 = 899,412.5

If the quotient is a whole number, then 2 and 899,412.5 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 1,798,825
-1 -1,798,825

Now, we try dividing 1,798,825 by 3:

1,798,825 ÷ 3 = 599,608.3333

If the quotient is a whole number, then 3 and 599,608.3333 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 1,798,825
-1 -1,798,825

Let's try dividing by 4:

1,798,825 ÷ 4 = 449,706.25

If the quotient is a whole number, then 4 and 449,706.25 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 1,798,825
-1 1,798,825
Keep dividing by the next highest number until you cannot divide anymore.

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

157192535951331754755416652,7053,3253,78710,27913,52518,93551,39571,95394,675256,975359,7651,798,825
-1-5-7-19-25-35-95-133-175-475-541-665-2,705-3,325-3,787-10,279-13,525-18,935-51,395-71,953-94,675-256,975-359,765-1,798,825

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