Q: What are the factor combinations of the number 47,073,467?

 A:
Positive:   1 x 470734677 x 672478129 x 162322349 x 960683157 x 299831203 x 231889211 x 2230971099 x 428331421 x 331271477 x 318714553 x 103396119 x 7693
Negative: -1 x -47073467-7 x -6724781-29 x -1623223-49 x -960683-157 x -299831-203 x -231889-211 x -223097-1099 x -42833-1421 x -33127-1477 x -31871-4553 x -10339-6119 x -7693


How do I find the factor combinations of the number 47,073,467?

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 47,073,467, 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 47,073,467
-1 -47,073,467

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 47,073,467.

Example:
1 x 47,073,467 = 47,073,467
and
-1 x -47,073,467 = 47,073,467
Notice both answers equal 47,073,467

With that explanation out of the way, let's continue. Next, we take the number 47,073,467 and divide it by 2:

47,073,467 ÷ 2 = 23,536,733.5

If the quotient is a whole number, then 2 and 23,536,733.5 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 47,073,467
-1 -47,073,467

Now, we try dividing 47,073,467 by 3:

47,073,467 ÷ 3 = 15,691,155.6667

If the quotient is a whole number, then 3 and 15,691,155.6667 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 47,073,467
-1 -47,073,467

Let's try dividing by 4:

47,073,467 ÷ 4 = 11,768,366.75

If the quotient is a whole number, then 4 and 11,768,366.75 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 47,073,467
-1 47,073,467
Keep dividing by the next highest number until you cannot divide anymore.

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

1729491572032111,0991,4211,4774,5536,1197,69310,33931,87133,12742,833223,097231,889299,831960,6831,623,2236,724,78147,073,467
-1-7-29-49-157-203-211-1,099-1,421-1,477-4,553-6,119-7,693-10,339-31,871-33,127-42,833-223,097-231,889-299,831-960,683-1,623,223-6,724,781-47,073,467

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