# Video: Prime Factorization in real life context

If Michael’s height is 2 feet and 5 inches, express in inches, his height as a product of primes.

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### Video Transcript

If Michael’s height is two feet and five inches, express in inches his height as a product of primes.

So Michael’s height is two feet and five inches. However, we need to express this in simply inches. So the five inches is five. But the two feet we need to convert to inches. One foot is equal to 12 inches. So if we have two feet, we need to take 12 inches times two. So two feet is equal to 24 inches.

So if we replace two feet with 24 inches and we add these together, 24 plus five is equal to 29. So his height is equal to 29 inches. However, we’re not only told to express it in inches, but as a product of primes. Product means to multiply. Primes mean prime numbers. And to be prime means a number is only divisible by itself and one — only divisible by itself and one.

So how can we rewrite 29 as a product of primes? Well, 29 is divisible by one and also 29. There aren’t any other numbers. So 29 is actually prime itself. However, we’re asked to express it as a product of primes. Therefore, we would express it — Michael’s height — as one times 29.