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They mystery number is prime. The number one less than the mystery number has factors 2 and 9. The number two more than the mystery number is a multiple of 5?
Let's break down the information given:
"The mystery number is prime." This means the mystery number is a Prime number.
"The number one less than the mystery number has factors 2 and 9." This implies that (mystery number - 1) has factors 2 and 9. In other words:
(mystery number - 1) = 2 * 9
(mystery number - 1) = 18
Now, let's solve for the mystery number:
mystery number = 18 + 1
mystery number = 19
"The number two more than the mystery number is a multiple of 5." This means (mystery number + 2) is divisible by 5. In other words:
(mystery number + 2) is divisible by 5
Let's check if 21 (19 + 2) is divisible by 5:
21 ÷ 5 = 4 with a remainder of 1
Since 21 is not evenly divisible by 5 (there is a remainder of 1), the statement is false.
So, the mystery number is 19, which is a prime number, but the number two more than the mystery number (21) is not a multiple of 5.
What else can I help you with?
Is there a prime number that is a multiple of 21?
No, it is not possible. Every multiple of 21 is a composite number. 21 is a composite number and its factors are 1, 3, 7 and 21(4 factors). Any multiple of 21 must have all the factors of 21. So, every multiple of 21 has at least 4 factors. And a prime number has only two factors so, any multiple of 21 can't be prime.
Is there a prime number that is a multiple of 3?
Yes, 3 is a prime number. Any other multiple of 3 can't, because the only factors of a prime number are 1 and the number.
Can a multiple of a prime number be prime?
No. Let p1 be a prime number. Let p2 be a multiple of p1 such that p2 = p1 * k. Then the factors of p2 are: 1, p1, k and p2. ==> p2 is not a prime number. Hence, a multiple of a prime number cannot be a prime number.
What is a prime multiple?
A prime multiple is when a number is expressed as the product of its prime factors as for example: 2*3*5*7 = 210
Why cant a multiple of 15 be a prime number?
A prime number has no factors other than 1 and itself. Each multiple of fifteen includes 3, 5, and 15 among its factors.
Can a prime number be a multiple of any other number exept itself?
You could say that a prime number is also a multiple of 1. A good definition of prime number is: "a natural number with exactly two distinct factors". This definition explains why 1 is not a prime number.
Is 1617 a prime number?
1617 is not a prime number. The sum of its digits is a multiple of 3, so 3 is one of its factors. A prime number has exactly two factors, 1 and the number itself, so 1617 is a composite number.
Is 36201 a prime number?
36,201 is not a prime number because 3 is one of its factors. 3 is one of the factors of any number whose digits add up to 3 or a multiple of 3. The only prime number with 3 as one of its factors is the number 3.
What number has the prime factors of 3 and 5 and 7?
Any multiple of 105
You are thinking of a number your number is a multiple of 25 your number is between 500 and 1000 the digits in your number sum 20 what is your number what are the prime factors of your number?
The number is 875 and its prime factors are 5; 5; 5 & 7.
Can you explain to me why the multiples of any number other than 1 are not prime numbers?
Sure! The multiples of a number other than 1 will always have at least three factors: 1, the number itself, and the multiple. This means they are not prime numbers, as prime numbers only have two factors: 1 and the number itself. For example, the multiples of 2 will always be divisible by 2, making them composite numbers rather than prime.
Is 217 a multiple of a second number?
As a product of its prime factors: 7*31 = 217
