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What is the smallest number that divides 2880 to give a perfect square?
Divide 2880 by 5 to give the perfect square 576 = 242. First write 2880 in its prime factorisation in power form: 2880 = 26 x 32 x 51 To be a perfect square, all the prime factors need to have an even power, so to find the smallest number by which to divide to get a perfect square only all the odd powers need to be reduced by 1; only the power of the prime factor 5 is odd and needs to be reduced by 1, so divide by 5.
What are the factors and prime factors of 2880?
The factors of 2880 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 144, 160, 180, 192, 240, 288, 320, 360, 480, 576, 720, 960, 1440, and 2880.The prime factors of 2880 are: 2, 3, and 5.
What three numbers multiplied together equals 2880?
To find three numbers that multiply together to equal 2880, we need to factorize 2880. The prime factorization of 2880 is 2^6 * 3^1 * 5^1. To find three numbers, we can combine these prime factors in various ways. One possible combination is 2^4 * 3^1 * 5^1, which equals 480. Therefore, the three numbers are 2, 3, and 480.
How do you turn 2880 into a product of prime?
2880 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 OR 26 x32 x 5
How do you find the size of each interior angle of a regular polygon whose angle sum is 2880 degrees?
Sum of interior angles = 2880 = 180*(n - 2) , where n is the number of sides. So (n - 2) = 16 that is, n = 18 Thus 18 equal angles sum to 2880 so each one is 2880/18 = 160 degrees.
