WHAT IS THE SUM OF ALL THE DISTINCT, POSITIVE PRIME FACTORS OF 1260
Ah, the sum of all the positive prime factors of 1260? Well, let me calculate it in my clownish way.
First, let me put on my twisty nose...and ta-da! The prime factorization of 1260 is 2^2 × 3^2 × 5 × 7.
Now, let's add up those prime factors: 2+3+5+7.
Math-clown magic! The sum is 17. So, the sum of all the distinct, positive prime factors of 1260 is 17.
To find the sum of all the distinct, positive prime factors of 1260, we first need to find the prime factorization of 1260.
Step 1: Start with the smallest prime number, 2, and divide 1260 by 2. The result is 630.
1260 ÷ 2 = 630
Step 2: Repeat the process by dividing 630 by 2.
630 ÷ 2 = 315
Step 3: Continue dividing by the smallest prime number until we can no longer divide evenly.
315 ÷ 3 = 105
Step 4: Divide 105 by the next smallest prime number, which is 5.
105 ÷ 5 = 21
Step 5: Divide 21 by 3.
21 ÷ 3 = 7
Step 6: Finally, divide 7 by itself. We cannot divide further, so the prime factorization of 1260 is:
1260 = 2 × 2 × 3 × 3 × 5 × 7
Now, let's find the distinct prime factors: 2, 3, 5, and 7.
The sum of all these prime factors is:
2 + 3 + 5 + 7 = 17
Therefore, the sum of all the distinct, positive prime factors of 1260 is 17.
To find the sum of all the distinct, positive prime factors of 1260, we first need to determine the prime factorization of 1260.
To do this, we can start by dividing 1260 by the smallest prime number, which is 2. If 1260 is divisible by 2, we divide it by 2 and continue dividing until it is no longer divisible.
1260 ÷ 2 = 630
Now, we repeat the process with the next prime number, which is 3.
630 ÷ 3 = 210
Again, we divide by 3.
210 ÷ 3 = 70
We continue dividing by prime numbers until we can no longer find a divisible prime factor.
70 ÷ 2 = 35
35 ÷ 5 = 7
Finally, we end up with 7, which is a prime number.
Now, let's list all the distinct prime factors we found: 2, 3, 5, and 7.
To find the sum of these prime factors, simply add them together:
2 + 3 + 5 + 7 = 17
Therefore, the sum of all the distinct, positive prime factors of 1260 is 17.
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