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What is the prime factorization of 3136?
PF of 3,136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 or 26 x 72
What is the prime factorization of 1344?
1344 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 = 26 x 3 x 7.
What is the circumcenter of the triangle with the points (23) (5-3) and (92)?
The circumcenter is at (137/26, 23/26) = (5 7/26, 23/26) The circumcenter is where the side perpendicular bisectors meet; this can be calculated by finding the equations of the perpendicular bisectors and solving the simultaneous equations that result (only 2 needs be solved, the third can be used as a check): Let the three points of the triangle be A (2, 3), B (5, -3), C (9, 2) The sides are AB, BC, AC with perpendicular bisectors AB', BC', AC' respectively; then: AB has midpoint ((5+2)/2, (-3 + 3)) = (7/2, 0) AB has gradient (-3 - 3)/(5 - 2) = -6/3 = -2 → AB' has gradient 1/2 → AB' has equation y - 0 = 1/2(x - 7/2) → y = 1/2(x - 7/2) BC has midpoint ((9 + 5)/2, (2 + -3)/2) = (7, -1/2) BC has gradient (2 - -3)/(9 - 5) = 5/4 → BC' has gradient -4/5 → BC' has equation y - -1/2 = -4/5(x - 7) → y = 4/5(7 - x) - 1/2 AC has midpoint ((9 + 2)/2, (2 + 3)/2) = (11/2, 5/2) AC has gradient (2 - 3)/(9 - 2) = -1/7 → AC' has gradient 7 → AC' has equation y - 5/2 = 7(x - 11/2) → y = 7(x - 11/2) + 5/2 Solving for point of intersection of AB' and AC': 1/2(x - 7/2) = 7(x - 11/2) + 5/2 → x - 7/2 = 14x - 77 + 5 → 13x = 72 - 7/2 = 137/2 → x = 137/26 (= 5 7/26) Using AB' y = 1/2(137/26 - 7/2) → y = 1/2(137/26 - 91/26) → y = 23/26 Checking using BC': y = 4/5(7 - x) - 1/2 → y = 4/5(7 - 137/26) - 1/2 → y = 4/5(182/26-137/26) - 13/26 → y = 4/5(45/26) - 13/26 → y = 36/26 - 13/26 = 23/26 as expected.
What is the prime factors of 100 x 26 x 49 to the tenth power?
2, 5, 7 and 13
What is the prime factorization chart 26 through 50?
2 x 13 = 26 3 x 3 x 3 = 27 2 x 2 x 7 = 28 29 2 x 3 x 5 = 30 31 2 x 2 x 2 x 2 x 2 = 32 3 x 11 = 33 2 x 17 = 34 5 x 7 = 35 2 x 2 x 3 x 3 = 36 37 2 x 19 = 38 3 x 13 = 39 2 x 2 x 2 x 5 = 40 41 2 x 3 x 7 = 42 43 2 x 2 x 11 = 44 3 x 3 x 5 = 45 2 x 23 = 46 47 2 x 2 x 2 x 2 x 3 = 48 7 x 7 = 49 2 x 5 x 5 = 50
