# MATH

posted by .

WHAT IS THE SUM OF ALL THE DISTINCT, POSITIVE PRIME FACTORS OF 1260

• MATH -

You have to break 1260 down into it's number tree. Start by dividing the number by 2 until you can't do it evenly, then divide by 3, and so on until no more divisions can be made:

1260/2 = 630

So we have one prime factor, 2 and are left with 630:

630/2 = 315

Now we have two prime factors, 2 and 2. We are left with 315:

315/3 = 105

Now we have three prime factors - 2,2,3. We are left with 105:

105/3 = 35

Now we have four prime factors - 2,2,3,3. We are left with 35:

35/5 = 7

Now we have SIX prime factors - 2,2,3,3,5,7. Thus the sum of all the distinct, positive prime factors of 1260 are:

2+2+3+3+5+7 = 22

## Similar Questions

what exactly is a prime factor would x-5 x+5 and x2+25 all be prime factors of x4-625?
2. ### math

what is the sum of the two least natural numbers that each have exactly six distinct,positive factors?

What is the sum of all integer values of n satisfying 1≤n≤100, such that (n^2)−1 is a product of exactly two distinct prime numbers?
4. ### Math (Complex Numbers)

Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n. What are the last 3 digits of N?
5. ### pcm

For positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?
6. ### math

For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?
7. ### algebra

For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p2)?
8. ### math

For a positive integer x, let f(x) be the function which returns the number of distinct positive factors of x. If p is a prime number, what is the minimum possible value of f(75p^2)?
9. ### Math (algebra)

Let x,y be complex numbers satisfying x+y=a xy=b, where a and b are positive integers from 1 to 100 inclusive. What is the sum of all possible distinct values of a such that x^3+y^3 is a positive prime number?
10. ### Math

What is the sum of the prime factors of 1260?

More Similar Questions