Q: What are the factor combinations of the number 47,362,307?

 A:
Positive:   1 x 4736230719 x 249275329 x 163318343 x 1101449551 x 85957817 x 579711247 x 379811999 x 23693
Negative: -1 x -47362307-19 x -2492753-29 x -1633183-43 x -1101449-551 x -85957-817 x -57971-1247 x -37981-1999 x -23693


How do I find the factor combinations of the number 47,362,307?

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 47,362,307, 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 47,362,307
-1 -47,362,307

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 47,362,307.

Example:
1 x 47,362,307 = 47,362,307
and
-1 x -47,362,307 = 47,362,307
Notice both answers equal 47,362,307

With that explanation out of the way, let's continue. Next, we take the number 47,362,307 and divide it by 2:

47,362,307 ÷ 2 = 23,681,153.5

If the quotient is a whole number, then 2 and 23,681,153.5 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 47,362,307
-1 -47,362,307

Now, we try dividing 47,362,307 by 3:

47,362,307 ÷ 3 = 15,787,435.6667

If the quotient is a whole number, then 3 and 15,787,435.6667 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 47,362,307
-1 -47,362,307

Let's try dividing by 4:

47,362,307 ÷ 4 = 11,840,576.75

If the quotient is a whole number, then 4 and 11,840,576.75 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 47,362,307
-1 47,362,307
Keep dividing by the next highest number until you cannot divide anymore.

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

11929435518171,2471,99923,69337,98157,97185,9571,101,4491,633,1832,492,75347,362,307
-1-19-29-43-551-817-1,247-1,999-23,693-37,981-57,971-85,957-1,101,449-1,633,183-2,492,753-47,362,307

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