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Q: What is the sum of all the distinct positive prime factors of 99?
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If told that 'q' 'p' and 'r' are distinct primes and that there exists 'n' such that 'n equals p x q x r' How many positive factors of 'n' are there and How do you determine what they are?

If p, q and r are distinct primes and n=pxqxr then n will have 8 factors, all of which will be positive since prime numbers are all positive, which are: n(pqr), pq, pr, qr, p, q, r and 1. Here there were 3 distinct primes so the number of positive factors is 2^3. In general if you had p distinct primes then you would have 2^p positive factors.


What is the smallest prime number that has 4 prime factors?

16 if the prime factors don't have to be distinct. 210 if they do.


Do all even numbers have at least two prime factors?

Not two DISTINCT prime factors, no. For example, 64 = 2^6 only has prime factor 2. All even numbers which are not a power of 2 must have at least two distinct prime factors, however; one of them will, of course, be 2.


Does 12 have prime factors?

Yes, 12 has prime factors. The prime factors of 12 are 2, 2, and 3, so the distinct prime factors are 2 and 3. Almost all integers have prime factors. The integers without prime factors are -1, 0, and 1.


What is a distinct factor?

All numbers (except for 1 and 0) have prime factors. Sometimes the prime factors are repeated. The prime factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3. The distinct prime factors of 216 are 2 and 3.


What do have prime number in common?

They are divisible only by themselves and one.


What is all the positive factors of 59?

1 and 59. It is a prime number.


What number below 160 has exactly 3 prime factors?

30, 42, 66, 78, 102, 105, 114, 138 all have exactly three distinct prime factors.


What are all the composite numbers between 30-40 that have prime factors that add up to 12?

The only number between 30 and 40 with distinct prime factors which add up to 12 is 35.


How many different prime factors of 3150 are there?

The only distinct prime factor that 3125 has is 5.


Is 63 a deficient number?

All odd numbers with one or two distinct prime factors are deficient. Since 3 and 7 are factors of 63, it must be deficient.


What is the smallest composite number that has 3 distinct prime factors?

Distinct would mean they are all different, so take the 3 lowest primes and multiply them: 2*3*5 = 30