Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है
SubjectsMathematics
अभाज्य गुणनखंडन
In Class 10 Mathematics, under the Real Numbers chapter, Prime Factorisation teaches students to express a composite number as a product of prime numbers. Students practise identifying prime factors and writing factorisations using multiplication and exponents. This foundational skill supports the Fundamental Theorem of Arithmetic and later work with HCF and LCM.
TOPIC PRACTICE
Up to 20 questions from this page. Select your focus, then start.
Step 1: In final prime factorisation, every base must be prime. Step 2: If a composite base like 12 or 21 remains, it must be broken further. Step 3: In exams, check every base before writing the final form.
View question detailsStep 1: Write (792=8\times99). Step 2: (8=2^3) and (99=3^2\times11), so (792=2^3\times3^2\times11). Step 3: Do not leave 99 in the final answer.
View question detailsStep 1: Write (825=25\times33). Step 2: (25=5^2) and (33=3\times11), so (825=3\times5^2\times11). Step 3: Both 25 and 33 are composite, so convert them into prime form.
View question detailsStep 1: Write (864=32\times27). Step 2: (32=2^5) and (27=3^3), so (864=2^5\times3^3). Step 3: It is necessary to convert 32 and 27 into prime powers.
View question detailsStep 1: Write (924=4\times231). Step 2: (4=2^2) and (231=3\times7\times11), so (924=2^2\times3\times7\times11). Step 3: Give 231 its complete prime form.
View question detailsStep 1: Write (1050=105\times10). Step 2: (105=3\times5\times7) and (10=2\times5), so (1050=2\times3\times5^2\times7). Step 3: Since 5 appears twice, write (5^2).
View question detailsStep 1: Write (1188=4\times297). Step 2: (4=2^2) and (297=3^3\times11), so (1188=2^2\times3^3\times11). Step 3: Break 297 into 3 and 11 form.
View question detailsStep 1: Write (1260=126\times10). Step 2: (126=2\times3^2\times7) and (10=2\times5), so (1260=2^2\times3^2\times5\times7). Step 3: The total power of 2 is 2.
View question detailsStep 1: Write (1350=27\times50). Step 2: (27=3^3) and (50=2\times5^2), so (1350=2\times3^3\times5^2). Step 3: Do not leave 27 and 50 in the final form.
View question detailsStep 1: Write (1386=18\times77). Step 2: (18=2\times3^2) and (77=7\times11), so (1386=2\times3^2\times7\times11). Step 3: Give prime form to both 18 and 77.
View question detailsStep 1: Write (1500=15\times100). Step 2: (15=3\times5) and (100=2^2\times5^2), so (1500=2^2\times3\times5^3). Step 3: Count the total power of 5 as 3.
View question detailsStep 1: Write (1584=16\times99). Step 2: (16=2^4) and (99=3^2\times11), so (1584=2^4\times3^2\times11). Step 3: Do not leave 99 in the final form.
View question detailsStep 1: Write (1680=16\times105). Step 2: (16=2^4) and (105=3\times5\times7), so (1680=2^4\times3\times5\times7). Step 3: Change 105 into prime factors.
View question detailsStep 1: Write (1890=27\times70). Step 2: (27=3^3) and (70=2\times5\times7), so (1890=2\times3^3\times5\times7). Step 3: Change 27 into (3^3).
View question detailsStep 1: Write (2100=21\times100). Step 2: (21=3\times7) and (100=2^2\times5^2), so (2100=2^2\times3\times5^2\times7). Step 3: Do not keep 25 or 100 in the final answer.
View question detailsStep 1: Write (2310=30\times77). Step 2: (30=2\times3\times5) and (77=7\times11), so (2310=2\times3\times5\times7\times11). Step 3: Break both 30 and 77 completely.
View question detailsStep 1: Write (2520=252\times10). Step 2: (252=2^2\times3^2\times7) and (10=2\times5), so (2520=2^3\times3^2\times5\times7). Step 3: Count the total power of 2 correctly.
View question detailsStep 1: Write (2772=36\times77). Step 2: (36=2^2\times3^2) and (77=7\times11), so (2772=2^2\times3^2\times7\times11). Step 3: Write 36 and 77 in prime form.
View question detailsStep 1: Write (3024=16\times189). Step 2: (16=2^4) and (189=3^3\times7), so (3024=2^4\times3^3\times7). Step 3: Give 189 its complete prime form.
View question detailsStep 1: Write (3150=315\times10). Step 2: (315=3^2\times5\times7) and (10=2\times5), so (3150=2\times3^2\times5^2\times7). Step 3: The power of 5 becomes 2.
View question detailsQUIZ COMPLETE
