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2 x 3 x 7 x 7 is the prime factorization of 294.

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Q: What is a prime factorization of 2x3x7x7?
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Continue Learning about Geometry

Is 5184 a perfect square?

Yes. 72 x 72 = 5184. You use prime factorization. The prime factorization of 5184 is 2^6 x 3^4 or 2^2 x 2^2 x 2^2 x 3^2 x 3^2 Take the square root = 2 x 2 x 2 x 3 x 3 = 72 Small note: ^ indicates a power.


What are two prime numbers whose sum is 42?

Split the number in half and make an equation adding the two together to make the desired amount. Unless the number that is half the total is prime, adjust the first number down by an amount to make it a prime number, then adjust the second one up by an equal amount and check whether it is also a prime number. If the second number is also a prime number, you have found two prime numbers that equal the desired amount. If not, adjust the first number down to another prime number, repeating the procedure above until you have two prime numbers.If you split 42 in half, the result is 21. Take the equation 21 + 21 = 42. Since 21 is not prime, adjust the first number down to 19 which is the first prime number below 21. That means the other number would be 23, which is prime. So, you have two prime numbers that add up to 42 = 19 + 23.The prime factorization of 42 is 2 x 3 x 7, so it has three factors that are prime: 2, 3, and 7.


Common multiples of 2 8 12?

To find a common multiple of 2, 8, and 12, we need to look at their prime factorization (the stuff you multiply together to get those numbers). 2 is prime. 8 = 2*2*2. 12 = 2*2*3. So, if we want to have a number that is a common multiple of 2, 8, and 12, it must be composed of the greatest amount of each prime number that 2, 8, and 12 have. So, it must be at least 2*2*2 * 3 = 24. So any common multiple will be of the form 24 * k, where k is any integer. So for example: k=1, 2, 3, 4, ... 24, 48, 72, 96, etc...


Find the smallest integer k such that 756k is a perfect cube?

Factor 756 into prime factors. Then add additional prime factors, such that each prime factor occurs a number of times that is a multiple of 3. The product of the additional prime factors is "k".


Is 81 prime?

81 is not prime: It is 3 x 3 x 3 x 3 (34) or 9 x 9 (92).

Related questions

How do you Express 294 as the product of prime factors?

Oh, dude, expressing 294 as the product of prime factors is like breaking down a complicated relationship. You start by dividing 294 by the smallest prime number, which is 2. Then you keep going until you can't divide anymore. In the end, you'll have 2 x 3 x 7 x 7, which is the prime factorization of 294. Easy peasy lemon squeezy!


What is 2x3x7x7 equall to?

294


Is 3x5x4 a prime factorization of 60?

No, 3x5x4 is not a prime factorization of 60. A prime factorization of 60 would consist of only prime numbers. The prime factorization of 60 is 2x2x3x5.


What makes a factorization of a number a prime factorization?

When all the factors are prime numbers, that's a prime factorization.


What is prime factorization of 22?

Prime Factorization of 22The prime factorization of 22 is:2 X 11Both numbers are prime, so 2 X 11 is the prime factorization of 22.


What is prime fatorization?

prime factorization is the factorization of numbers


Prime Factorization of 800?

The prime factorization is... 2x2x2x2x2x5x5


Prime factorization chart?

how do i get the prime factorization of 45


What is a term for finding prime factorization?

Prime factorization!


What is diff prime factorization and regular factorization?

When asked for a factorization, it is generally understood to mean the prime factorization.


Can a number greater than 100 have only 1 number in it's prime factorization?

Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.


How do you write out the prime factorization of a prime number?

The prime number is the prime factorization. For example, the prime factorization of the prime number 3 is 3. Get it?