Q: What are the factor combinations of the number 3,946,445?

 A:
Positive:   1 x 39464455 x 78928979 x 4995597 x 40685103 x 38315395 x 9991485 x 8137515 x 7663
Negative: -1 x -3946445-5 x -789289-79 x -49955-97 x -40685-103 x -38315-395 x -9991-485 x -8137-515 x -7663


How do I find the factor combinations of the number 3,946,445?

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 3,946,445, 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 3,946,445
-1 -3,946,445

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 3,946,445.

Example:
1 x 3,946,445 = 3,946,445
and
-1 x -3,946,445 = 3,946,445
Notice both answers equal 3,946,445

With that explanation out of the way, let's continue. Next, we take the number 3,946,445 and divide it by 2:

3,946,445 ÷ 2 = 1,973,222.5

If the quotient is a whole number, then 2 and 1,973,222.5 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 3,946,445
-1 -3,946,445

Now, we try dividing 3,946,445 by 3:

3,946,445 ÷ 3 = 1,315,481.6667

If the quotient is a whole number, then 3 and 1,315,481.6667 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 3,946,445
-1 -3,946,445

Let's try dividing by 4:

3,946,445 ÷ 4 = 986,611.25

If the quotient is a whole number, then 4 and 986,611.25 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 3,946,445
-1 3,946,445
Keep dividing by the next highest number until you cannot divide anymore.

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

1579971033954855157,6638,1379,99138,31540,68549,955789,2893,946,445
-1-5-79-97-103-395-485-515-7,663-8,137-9,991-38,315-40,685-49,955-789,289-3,946,445

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