by what least number should we doride the following to make it a pertat square 10224
Answers
Answered by
1
Answer:
Figure out its prime factors.
10224 ÷ 2 = 5112
5112÷2 = 2556
2556÷2 = 1278
1278÷2 = 639
639 ÷ 3 = 213
213 ÷ 3 = 71
Thus the prime factors are 2×2×2×2×3×3×71
Finding the least number to divide to form a perfect square is the same as finding the highest perfect square out of its factors.
Organize the factors into pairs of like prime factors
(2×2)×(2×2)×(3×3)×71
Everything paired is part of the highest perfect square factor, and what's left, 71, is the number you need to divide to get there.
Similar questions