Q: What are the factor combinations of the number 47,031,299?

 A:
Positive:   1 x 470312997 x 671875717 x 276654753 x 887383119 x 395221371 x 126769901 x 521996307 x 7457
Negative: -1 x -47031299-7 x -6718757-17 x -2766547-53 x -887383-119 x -395221-371 x -126769-901 x -52199-6307 x -7457


How do I find the factor combinations of the number 47,031,299?

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 47,031,299, 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 47,031,299
-1 -47,031,299

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 47,031,299.

Example:
1 x 47,031,299 = 47,031,299
and
-1 x -47,031,299 = 47,031,299
Notice both answers equal 47,031,299

With that explanation out of the way, let's continue. Next, we take the number 47,031,299 and divide it by 2:

47,031,299 ÷ 2 = 23,515,649.5

If the quotient is a whole number, then 2 and 23,515,649.5 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 47,031,299
-1 -47,031,299

Now, we try dividing 47,031,299 by 3:

47,031,299 ÷ 3 = 15,677,099.6667

If the quotient is a whole number, then 3 and 15,677,099.6667 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 47,031,299
-1 -47,031,299

Let's try dividing by 4:

47,031,299 ÷ 4 = 11,757,824.75

If the quotient is a whole number, then 4 and 11,757,824.75 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 47,031,299
-1 47,031,299
Keep dividing by the next highest number until you cannot divide anymore.

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

1717531193719016,3077,45752,199126,769395,221887,3832,766,5476,718,75747,031,299
-1-7-17-53-119-371-901-6,307-7,457-52,199-126,769-395,221-887,383-2,766,547-6,718,757-47,031,299

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