Question

find the cube of 373284 by prime factorization method​

Answer 1

Step-by-step explanation:

Step I: Form groups of 3 starting from right most digit of 238328, i.e.

238

328

.

Then, the two groups are 238 and 328.

Here, 238 has 3 digit and 328 has 3 digit.

Step II: Take 328.

Digit in unit place =8.

Therefore, we take one's place of required cube root as 2 ....[Since, 2

3

=8].

Step III: Now, take the other group 238.

We know, 6

3

=216 and 7

3

=343.

Here, the smallest number among 6 and 7 is 6.

Therefore, we take 6 as ten's place.

∴

3

238328

=62.

Hence, option B is correct.