d:[["$","title","0",{"children":"IIM Kozhikode - If 360 = 2^x x 3^y x 5^z, then x+y+z=? | PYQs + Solutions | AfterBoards"}],["$","meta","1",{"name":"description","content":"undefined We need to find the prime factorization of 360 and express it in the form 2^x 3^y 5^z.

Let's break down 360 by dividing by the smal<=st prime numbers: 360 2 = 180 180 2 = 90 90 2 = 45 45 3 = 15 15 3 = 5 5 5 = 1 So: 360 = 2^3 3^2 5^1

Comparing with the given form 360 = 2^x 3^y 5^z: x = 3 (power of 2) y = 2 (power of 3) z = 1 (power of 5)

x + y + z = 3 + 2 + 1 = 6 Quick verification: 2^3 3^2 5^1 = 8 9 5 = 360 ✓ Answer: 6"}],["$","link","2",{"rel":"manifest","href":"https://www.afterboards.in/manifest.json","crossOrigin":"$undefined"}],["$","meta","3",{"name":"keywords","content":"IIM-K (BMSAT),QA,Number System,Factorisation"}],["$","meta","4",{"name":"robots","content":"index, follow"}],["$","meta","5",{"name":"category","content":"education"}],["$","meta","6",{"name":"google-site-verification","content":"google"}],["$","meta","7",{"property":"og:title","content":"IIM Kozhikode - If 360 = 2^x x 3^y x 5^z, then x+y+z=? | PYQs + Solutions"}],["$","meta","8",{"property":"og:description","content":"undefined We need to find the prime factorization of 360 and express it in the form 2^x 3^y 5^z.

Let's break down 360 by dividing by the smal<=st prime numbers: 360 2 = 180 180 2 = 90 90 2 = 45 45 3 = 15 15 3 = 5 5 5 = 1 So: 360 = 2^3 3^2 5^1

Comparing with the given form 360 = 2^x 3^y 5^z: x = 3 (power of 2) y = 2 (power of 3) z = 1 (power of 5)

x + y + z = 3 + 2 + 1 = 6 Quick verification: 2^3 3^2 5^1 = 8 9 5 = 360 ✓ Answer: 6"}],["$","meta","9",{"property":"og:url","content":"https://www.afterboards.in/past-year-questions/iimk-bmsat/2025/QA/21"}],["$","meta","10",{"property":"og:site_name","content":"AfterBoards | IIM Kozhikode Preparation"}],["$","meta","11",{"property":"og:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","meta","12",{"property":"og:type","content":"website"}],["$","meta","13",{"name":"twitter:card","content":"summary_large_image"}],["$","meta","14",{"name":"twitter:site","content":"afterboards.in"}],["$","meta","15",{"name":"twitter:title","content":"IIM Kozhikode - If 360 = 2^x x 3^y x 5^z, then x+y+z=? | PYQs + Solutions"}],["$","meta","16",{"name":"twitter:description","content":"undefined We need to find the prime factorization of 360 and express it in the form 2^x 3^y 5^z.

Let's break down 360 by dividing by the smal<=st prime numbers: 360 2 = 180 180 2 = 90 90 2 = 45 45 3 = 15 15 3 = 5 5 5 = 1 So: 360 = 2^3 3^2 5^1

Comparing with the given form 360 = 2^x 3^y 5^z: x = 3 (power of 2) y = 2 (power of 3) z = 1 (power of 5)

x + y + z = 3 + 2 + 1 = 6 Quick verification: 2^3 3^2 5^1 = 8 9 5 = 360 ✓ Answer: 6"}],["$","meta","17",{"name":"twitter:image","content":"https://www.afterboards.in/pyp/AfterBoards%20CUET%20Past%20Year%20Papers%20with%20Solutions.webp"}],["$","link","18",{"rel":"shortcut icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","19",{"rel":"icon","href":"https://www.afterboards.in/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","20",{"rel":"icon","href":"https://www.afterboards.in/icons/windows11/Square44x44Logo.altform-lightunplated_targetsize-256.png","sizes":"256x256","type":"image/png"}],["$","link","21",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-512-512.png","sizes":"512x512","type":"image/png"}],["$","link","22",{"rel":"icon","href":"https://www.afterboards.in/icons/android/android-launchericon-192-192.png","sizes":"192x192","type":"image/png"}],"$L17","$L18","$L19","$L1a"]

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