factorise 36m²n²-64 plz answer fast
Answers
Answer:
The number 64 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of a number 64.
Step 1: The first step is to divide the number 64 with the smallest prime factor, say 2.
64 ÷ 2 = 32
Step 2: Again divide 32 by 2 and the process goes on.
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 64 are written as 2 x 2 × 2 x 2 x 2 x 2 or 26, where 2 is a prime number.
It is possible to find the exact number of factors of a number 64 with the help of prime factorisation. The prime factor of the 64 is 26. The exponent in the prime factorisation is 6. When you add the number 1 with the exponent 6, we get 7. i.e.,6 +1 = 7. Therefore, the number 64 has 7 factors.
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