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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4

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प्रश्न

If p1x1 × p2x2 × p3x3 × p4x4 = 113400 where p1, p2, p3, p4 are primes in ascending order and x1, x2, x3, x4, are integers, find the value of p1, p2, p3, p4 and x1, x2, x3, x4

बेरीज
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उत्तर

Given 113400 = p1x1 × p2x2 × p3x3 × p4x4

Using tree method factorise 113400


113400 = 23 × 34 × 52 × 7

compare with

113400 = p1x1 × p2x2 × p3x3 × p4x4

P1 = 2, x1 = 3

P2 = 3, x2 = 4

P3 = 5, x3 = 2

P4 = 7, x4 = 1

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पाठ 2: Numbers and Sequences - Exercise 2.2 [पृष्ठ ४६]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 2 Numbers and Sequences
Exercise 2.2 | Q 5 | पृष्ठ ४६

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