Prime Numbers

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The prime factorization of 2008 is 2^3 x 251. This means that 2008 can be expressed as the product of the prime numbers 2 and 251, each raised to the power of their respective occurrences in the factorization. In this case, 2 is raised to the power of 3 because it appears three times in the factorization, while 251 is raised to the power of 1 because it appears once.

To express 36 as a product of prime factors, we first break it down into its prime factors: 2 x 2 x 3 x 3. This simplifies to 2^2 x 3^2 in index form, where the exponents represent the number of times each prime factor is multiplied.

The prime numbers between 45 and 70 are 47, 53, and 59. A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In this case, 47, 53, and 59 are the only prime numbers within the range specified.

Honey, that's a big number you got there! You pronounce 290,000,000,000,000,000 as "two hundred ninety quadrillion." So next time you're talking about a boatload of money or stars in the sky, you can impress everyone with that tongue twister of a number.

There seems to be a little confusion here, friend. Prime numbers are only divisible by 1 and themselves, so they can't be divisible by 3. But don't worry, mistakes happen, and it's all part of learning and growing. Just keep exploring the world of numbers, and you'll discover all sorts of beautiful patterns and relationships.

Sure thing, honey. The first four prime numbers are 2, 3, 5, and 7. Multiply those bad boys together and you get 210. And wouldn't you know it, 210 is a composite number because it can be divided by numbers other than 1 and itself. Math can be a real hoot sometimes, can't it?

Oh, dude, let me blow your mind with this one. So, the number that goes into both 42 and 70 is 1. Yeah, that's right, the good ol' number 1 can divide both of those bad boys without any remainder. Like, it's the unsung hero of division, just quietly doing its thing while all the other numbers get all the attention.

Well, honey, let me break it down for you. The sum of two prime numbers can definitely be composite. Take 2 and 3 for example - both prime, but when you add them together, you get 5, which is still prime. But toss in 2 and 4, both prime, and you get 6, which is as composite as it gets. So, yes, the sum of two prime numbers can absolutely be composite.

Oh, dude, come on! Even numbers are like the cool kids who hang out at multiples of 2, while 5 is just doing its own thing. It's like asking if a cat can bark - they're just not on the same wavelength. So, nope, no even number is divisible by 5.

To express 80 as the product of its prime factors, we start by dividing 80 by the smallest prime number, which is 2. 80 ÷ 2 = 40. Then, we divide 40 by 2 again to get 20. Continuing this process, we find that 80 can be expressed as 2 x 2 x 2 x 2 x 5, or 2^4 x 5.

540 = 2 x 2 x 3 x 3 x 3 x 5

The factors of 136 are: 1 2 4 8 17 34 68 136 The prime factors are: 2 x 2 x 2 x 17

Well, honey, the numbers divisible by both 3 and 4 are the multiples of their least common multiple, which is 12. So, any number that can be divided by 12 without leaving a remainder is your answer. Get ready to do some division or just use that brain of yours to figure it out!

It is 3 that is a common prime factor to both numbers

The prime numbers between 60 and 70 are 61 and 67.

52, 54, 56, 58, 60, 62, 64, 66, 68, and 70 are.

There is NO PRIME Number equal to '360', because '360' is a compound number number.

The given sequence is decreasing by half each time, following a pattern of dividing by 2. So, the next number in the sequence would be 0.25 divided by 2, which is 0.125.

2,4,6,8,10,12,14,16,18.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The only three-digit prime number that can be formed using the digits 4, 1, and 0 is 401. This number is prime because it is not divisible by any other number except 1 and itself.

The only two-digit number that has three different prime factors is 2 x 3 x 5, which equals 30. This number has the prime factors 2, 3, and 5, all of which are distinct prime numbers. Any other two-digit number with three prime factors would have at least one repeated prime factor, making it not have three different prime factors.

There are 25 prime days in a year. Prime days are those that are prime numbers, meaning they can only be divided by 1 and themselves without leaving a remainder. The prime days in a year are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

Well, isn't that a happy little math problem? To find the value of y, we first need to figure out the product of 3 and y, which is 24 divided by 3, giving us 8. Then, if we add 8.6 to 8, we get the final answer of y being 16.6. Keep on painting those mathematical landscapes, my friend!