A number N has the prime factorisation N = 2^a x 3^b, where a and b are positive whole numbers with a + b = 4. Among all such N, find the largest value.

Question

Accepted Answer

54. With a, b >= 1 and a + b = 4 the possibilities are 2^1 x 3^3 = 54, 2^2 x 3^2 = 36, 2^3 x 3^1 = 24. The largest is 54.

A number $N$ has the prime factorisation $N = 2^{a} x 3^{b}$ , where a and $b$ are positive whole numbers with $a + b = 4$ . Among all such $N$ , find the largest value.

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More Class 10 Fundamental Theorem of Arithmetic practice

A number N has the prime factorisation N=2ax3b, where a and b are positive whole numbers with a+b=4. Among all such N, find the largest value.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Fundamental Theorem of Arithmetic practice

A number $N$ has the prime factorisation $N = 2^{a} x 3^{b}$ , where a and $b$ are positive whole numbers with $a + b = 4$ . Among all such $N$ , find the largest value.