Q: What are the factor combinations of the number 446,106,739?

 A:
Positive:   1 x 44610673913 x 3431590329 x 15382991139 x 3209401377 x 11833071807 x 2468774031 x 1106698513 x 52403
Negative: -1 x -446106739-13 x -34315903-29 x -15382991-139 x -3209401-377 x -1183307-1807 x -246877-4031 x -110669-8513 x -52403


How do I find the factor combinations of the number 446,106,739?

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 446,106,739, 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.

1 446,106,739
-1 -446,106,739

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 446,106,739.

Example:
1 x 446,106,739 = 446,106,739
and
-1 x -446,106,739 = 446,106,739
Notice both answers equal 446,106,739

With that explanation out of the way, let's continue. Next, we take the number 446,106,739 and divide it by 2:

446,106,739 ÷ 2 = 223,053,369.5

If the quotient is a whole number, then 2 and 223,053,369.5 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:

1 446,106,739
-1 -446,106,739

Now, we try dividing 446,106,739 by 3:

446,106,739 ÷ 3 = 148,702,246.3333

If the quotient is a whole number, then 3 and 148,702,246.3333 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:

1 446,106,739
-1 -446,106,739

Let's try dividing by 4:

446,106,739 ÷ 4 = 111,526,684.75

If the quotient is a whole number, then 4 and 111,526,684.75 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:

1 446,106,739
-1 446,106,739
Keep dividing by the next highest number until you cannot divide anymore.

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

113291393771,8074,0318,51352,403110,669246,8771,183,3073,209,40115,382,99134,315,903446,106,739
-1-13-29-139-377-1,807-4,031-8,513-52,403-110,669-246,877-1,183,307-3,209,401-15,382,991-34,315,903-446,106,739

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