Q: What are the factor combinations of the number 3,620,165?

 A:
Positive:   1 x 36201655 x 72403319 x 19053553 x 6830595 x 38107265 x 13661719 x 50351007 x 3595
Negative: -1 x -3620165-5 x -724033-19 x -190535-53 x -68305-95 x -38107-265 x -13661-719 x -5035-1007 x -3595


How do I find the factor combinations of the number 3,620,165?

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 3,620,165, 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 3,620,165
-1 -3,620,165

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 3,620,165.

Example:
1 x 3,620,165 = 3,620,165
and
-1 x -3,620,165 = 3,620,165
Notice both answers equal 3,620,165

With that explanation out of the way, let's continue. Next, we take the number 3,620,165 and divide it by 2:

3,620,165 ÷ 2 = 1,810,082.5

If the quotient is a whole number, then 2 and 1,810,082.5 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 3,620,165
-1 -3,620,165

Now, we try dividing 3,620,165 by 3:

3,620,165 ÷ 3 = 1,206,721.6667

If the quotient is a whole number, then 3 and 1,206,721.6667 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 3,620,165
-1 -3,620,165

Let's try dividing by 4:

3,620,165 ÷ 4 = 905,041.25

If the quotient is a whole number, then 4 and 905,041.25 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 3,620,165
-1 3,620,165
Keep dividing by the next highest number until you cannot divide anymore.

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

151953952657191,0073,5955,03513,66138,10768,305190,535724,0333,620,165
-1-5-19-53-95-265-719-1,007-3,595-5,035-13,661-38,107-68,305-190,535-724,033-3,620,165

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