 HCF and LCM using Factor Trees

Interactive practice questions

Consider the following list of prime factors:

$168=2\times2\times2\times3\times7$168=2×2×2×3×7 and

$882=2\times3\times3\times7\times7$882=2×3×3×7×7.

Find the highest common factor of $168$168 and $882$882 by using the list of prime factors.

Easy
Approx 2 minutes

Consider the following list of prime factors:

$6125=5\times5\times5\times7\times7$6125=5×5×5×7×7 and

$420175=5\times5\times7\times7\times7\times7\times7$420175=5×5×7×7×7×7×7.

Consider the following list of prime factors:

$25000=5\times5\times5\times5\times5\times2\times2\times2$25000=5×5×5×5×5×2×2×2 and

$4000=5\times5\times5\times2\times2\times2\times2\times2$4000=5×5×5×2×2×2×2×2.

Consider the following list of prime factors:

$42525=3\times3\times3\times3\times3\times5\times5\times7$42525=3×3×3×3×3×5×5×7 and

$275625=3\times3\times5\times5\times5\times5\times7\times7$275625=3×3×5×5×5×5×7×7.

Outcomes

NA5-2

Use prime numbers, common factors and multiples, and powers (including square roots)