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Prime Numbers
A prime number is a number that has exactly two factors: 1 and itself. All whole numbers greater than 1 are either prime numbers or can be written as the product of prime numbers. There are an infinite number of prime numbers, but they occur less frequently among larger numbers. Prime numbers are important in cryptography and number theory.
30,833 Questions
What is the next multiple of 7 after 42?
the answer would be 49 because if you add 7 to, 42 that equals 49
42+7=49
What is 1296 as a product of its prime factors?
To find the prime factors of 1296, we start by dividing it by the smallest prime number, which is 2. 1296 ÷ 2 = 648. Continuing this process, we find that 648 ÷ 2 = 324, 324 ÷ 2 = 162, 162 ÷ 2 = 81, and 81 ÷ 3 = 27. Finally, we find that 27 = 3 x 3 x 3, which means the prime factors of 1296 are 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3, or written as a product, 2^4 x 3^4.
What are the factors and prime factors of 148?
148 is a composite number because it has factors other than 1 and itself. It is not a prime number.
The 6 factors of 148 are 1, 2, 4, 37, 74, and 148.
The factor pairs of 148 are 1 x 148, 2 x 74, and 4 x 37.
The proper factors of 148 are 1, 2, 4, 37, and 74 or,
if the definition you are using excludes 1, they are 2, 4, 37, and 74.
The prime factors of 148 are 2, 2, and 37. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.
The distinct prime factors of 148 are 2 and 37.
The prime factorization of 148 is 2 x 2 x 37 or, in exponential form, 2^2 x 37.
Oh, isn't that a happy little question! Yes, 23 is a prime number, which means it is only divisible by 1 and itself. So, it is relatively prime to any other number that is not a multiple of 23. Just like how every tree in our painting is unique and special in its own way.
What is 160 as a prime factor in index form?
Well, isn't that just a happy little question! To write 160 as a product of its prime factors, we can express it as 2^5 * 5. In index form, this would be written as 2^5 * 5^1. Just remember, there are no mistakes, only happy little accidents in math!
Composite, because it can be divided by '2'.
NB All even numbers , except '2', are composite, therefore NOT prime.
All prime numbers are odd number, except '2'. However, not all odd numbers are prime numbers.
All EVEN numbers end in 0,2,4,6,8
All ODD numbers end in 1,3,5,7,9.
Since '76' ends in '6' , then it is an even number, hence composite.
What are the two prime numbers that equal 54?
The only two prime numbers that multiply to equal 54 are 3 and 18. Prime numbers are integers greater than 1 that have no divisors other than 1 and themselves. In this case, 3 is a prime number because it is only divisible by 1 and 3, and 18 is not a prime number as it has divisors other than 1 and 18.
What are 5 numbers multiplied together to get 630?
To find five numbers that multiply to 630, we can start by breaking down 630 into its prime factors: 2 x 3 x 3 x 5 x 7. From this prime factorization, we can see that the five numbers are 2, 3, 3, 5, and 7. So, the five numbers that multiply to 630 are 2, 3, 3, 5, and 7.
What is the difference between prime factors and prime factorization?
Oh, dude, prime factors are the prime numbers that can be multiplied together to get a certain number, while prime factorization is just listing those prime factors out. It's like breaking down a number into its prime components - kind of like breaking down a sandwich into its ingredients. So, prime factors are the individual ingredients, and prime factorization is the recipe.
What is a number called when it only has 1 and itself as a factor?
A number that only has 1 and itself as factors is called a prime number. Prime numbers are integers greater than 1 that cannot be formed by multiplying two smaller positive integers. They have exactly two distinct positive divisors: 1 and the number itself. Examples of prime numbers include 2, 3, 5, 7, 11, and so on.
Well, isn't that just a happy little math problem we have here! 23 times 3 is 69. Just like painting a beautiful landscape, sometimes all it takes is a few simple brushstrokes to create something wonderful.
How many even numbers are between 1 and 75?
75 - 1 = 74 numbers between 1 and 75. Divide 74 by 2 = 37 even numbers.
What are the prime numbers between 1 and 36?
Oh, dude, prime numbers are like those cool kids at school who only hang out with themselves. So, between 1 and 36, you've got 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, and 37. Wait, 37 is not between 1 and 36, scratch that last one. So, yeah, those are your prime numbers in that range.
Which two prime numbers added together equal 11?
Well, darling, the two prime numbers that add up to 11 are 2 and 9. Oh wait, did I say 9? Silly me, 9 isn't a prime number, it's as composite as a Kardashian family reunion. The real dynamic duo you're looking for is 2 and 9's better half, 2 and 3. Those two little troublemakers add up to 11.
Yes, two is a prime number because it is only divisible by one and itself.
Yes, 2 is a prime number because it can only be divided by 1 and itself.
Is 2 considered a prime number?
Yes, 2 is considered a prime number because it is only divisible by 1 and itself.
What are two prime numbers that add up to 24?
The only two prime numbers that add up to 24 are 11 and 13. Prime numbers are numbers greater than 1 that can only be divided by 1 and themselves without leaving a remainder. In this case, 11 and 13 are both prime numbers, and when added together, they equal 24.
What number is not a prime numbers 3 5 7 9 11?
'9' is NOT a prime number, because is is a compound of 3 x 3 = 9
What are the common prime factors of 51 and 85?
Oh, dude, you're hitting me with the math questions now? Alright, so the common prime factors of 51 and 85 are 17 and 1. It's like when you and your friend both show up wearing the same shirt, but in this case, it's numbers that can be divided evenly into both 51 and 85. Cool, right?
What number times itself 4 times equals 96?
Oh, dude, you're hitting me with some math here. So, if we wanna find a number that, like, times itself 4 times equals 96, we're basically looking for the 4th root of 96. And that number happens to be 2, because 2 x 2 x 2 x 2 equals 16, which is close enough to 96, right? Math is wild, man.
What is the smallest number with 2 5 and 7 as prime factors?
Well, darling, the smallest number with 2, 5, and 7 as prime factors is 70. You see, 2 x 5 x 7 equals 70, and that's the tiniest number you can whip up with those prime factors. So, there you have it, sweet cheeks, the answer is 70.
Let the inputs be A2 A1 A0 & outputs be S5 S4 S3 S2 S1 S0.
Now, make a truth table as follows
A2 A1 A0 S5 S4 S3 S2 S1 S0
0 0 0 0 0 0 0 0 0
0 0 1 0 0 0 0 0 1
0 1 0 0 0 0 1 0 0
and so on.......
Finally we'll get
S0 = A0
S1 = 0
S2 = A1 A2(bar)
S3 = A0 [ A1 XOR A2]
S4 = A2 [A1(bar) + A0 ]
S5 = A1 A2
Write each number as a product of its prime factors 87?
To write 87 as a product of its prime factors, we first divide it by the smallest prime number, which is 3. This gives us 87 = 3 * 29. Since 29 is a prime number itself, the prime factorization of 87 is 3 * 29.
