SOLUTION: If the numbers 70 and 105 are both multiples of a prime number n, how many possible values are there for n?

Algebra.Com
Question 643542: If the numbers 70 and 105 are both multiples of a prime number n, how many possible values are there for n?

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
 70 = 2×35 = 2×5×7

105 = 3×35 = 3×5×7

They are both multiples of the 2 prime numbers 5 and 7.

Answer: There are 2 possible values for n.

Edwin


RELATED QUESTIONS

If the numbers 70 and 105 are both multiples of a prime number "n", how many possible... (answered by jim_thompson5910)
How do i solve this problem step by step? i dont understand still. : if the numbers... (answered by jim_thompson5910)
If n is a positive 2-digit integer and both digits of n are the same, how many different (answered by fcabanski)
if n>1 and each of the three integers n, n+2,and n+4 is a prime number, then the set of... (answered by stanbon)
If P(n,k)=120. Find the possible values of n and k. How many solutions are... (answered by Edwin McCravy,greenestamps)
(a) Let p be a prime number greater than 3. What are the possible remainders of p upon... (answered by jim_thompson5910)
How many positive integers n are there such that n² - 14n + 24 is a prime... (answered by Edwin McCravy)
Multiples of 12 are a subset of the multiples of n What must be true about n? a-... (answered by ikleyn)
A set of staircases grows at a certain rate.If the rule to find out how many blocks are... (answered by MathLover1)