Q: What are the factor combinations of the number 1,821,325?

 A:
Positive:   1 x 18213255 x 36426511 x 16557525 x 7285337 x 4922555 x 33115179 x 10175185 x 9845275 x 6623407 x 4475895 x 2035925 x 1969
Negative: -1 x -1821325-5 x -364265-11 x -165575-25 x -72853-37 x -49225-55 x -33115-179 x -10175-185 x -9845-275 x -6623-407 x -4475-895 x -2035-925 x -1969


How do I find the factor combinations of the number 1,821,325?

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 1,821,325, 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 1,821,325
-1 -1,821,325

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 1,821,325.

Example:
1 x 1,821,325 = 1,821,325
and
-1 x -1,821,325 = 1,821,325
Notice both answers equal 1,821,325

With that explanation out of the way, let's continue. Next, we take the number 1,821,325 and divide it by 2:

1,821,325 ÷ 2 = 910,662.5

If the quotient is a whole number, then 2 and 910,662.5 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 1,821,325
-1 -1,821,325

Now, we try dividing 1,821,325 by 3:

1,821,325 ÷ 3 = 607,108.3333

If the quotient is a whole number, then 3 and 607,108.3333 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 1,821,325
-1 -1,821,325

Let's try dividing by 4:

1,821,325 ÷ 4 = 455,331.25

If the quotient is a whole number, then 4 and 455,331.25 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 1,821,325
-1 1,821,325
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551791852754078959251,9692,0354,4756,6239,84510,17533,11549,22572,853165,575364,2651,821,325
-1-5-11-25-37-55-179-185-275-407-895-925-1,969-2,035-4,475-6,623-9,845-10,175-33,115-49,225-72,853-165,575-364,265-1,821,325

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