Q: What are the factor combinations of the number 47,307,155?

 A:
Positive:   1 x 473071555 x 94614317 x 675816535 x 1351633233 x 2030351165 x 406071631 x 290055801 x 8155
Negative: -1 x -47307155-5 x -9461431-7 x -6758165-35 x -1351633-233 x -203035-1165 x -40607-1631 x -29005-5801 x -8155


How do I find the factor combinations of the number 47,307,155?

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 47,307,155, 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 47,307,155
-1 -47,307,155

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 47,307,155.

Example:
1 x 47,307,155 = 47,307,155
and
-1 x -47,307,155 = 47,307,155
Notice both answers equal 47,307,155

With that explanation out of the way, let's continue. Next, we take the number 47,307,155 and divide it by 2:

47,307,155 ÷ 2 = 23,653,577.5

If the quotient is a whole number, then 2 and 23,653,577.5 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 47,307,155
-1 -47,307,155

Now, we try dividing 47,307,155 by 3:

47,307,155 ÷ 3 = 15,769,051.6667

If the quotient is a whole number, then 3 and 15,769,051.6667 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 47,307,155
-1 -47,307,155

Let's try dividing by 4:

47,307,155 ÷ 4 = 11,826,788.75

If the quotient is a whole number, then 4 and 11,826,788.75 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 47,307,155
-1 47,307,155
Keep dividing by the next highest number until you cannot divide anymore.

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

157352331,1651,6315,8018,15529,00540,607203,0351,351,6336,758,1659,461,43147,307,155
-1-5-7-35-233-1,165-1,631-5,801-8,155-29,005-40,607-203,035-1,351,633-6,758,165-9,461,431-47,307,155

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