Question

Peter is working out the highest common factor of 100 and 112. He has worked it out to be 22. Can you explain
what has he done wrong?

Answer 1

Answer:

PETER HAS FOUND HCF AS 22 BECAUSE HE DIDN'T MULTIPLY 2×2 AS 4 BUT HE DIRECTLY WRITTEN 2×2 AS 22

Step-by-step explanation:

$100 = 10 \times 10 \\ = 2 \times 5 \times 2 \times 5 \\ = 2 \times 2 \times 5 \times 5$

$112 = 4 \times 28 \\ = 4 \times 4 \times 7 \\ = 2 \times 2 \times 2 \times 2 \times 7$

HCF = 2×2

=4

PETER HAS FOUND HCF AS 22 BECAUSE HE DIDN'T MULTIPLY 2×2 AS 4 BUT HE DIRECTLY WRITTEN 2×2 AS 22

Answer 2

Step-by-step explanation:

see the attachment for answers