Wednesday, September 9, 2009

a little lesson in factorization....

Today in Math, we were challenged by the task of taking a big number and factoring it down to prime numbers. In addition, we were then required to write the final factorization using exponents. Here is what one looked like (taken straight from the study guide). using a calculator is ok.

1080 (a composite - find 2 factors that make that number)
2 x 540 (1080 is even, so 2 will always break down an even number)
2 x 2 x 270 (520 was even too - hey so is 270...will this madness ever stop??)
2 x 2 x 2 x 135 (ok, here's a new one.. 135 is not divisible by 2, but it is by 5)
2 x 2 x 2 x 5 x 27 (nearing the end..I can feel it - what makes 27? 3 and 9)
2 x 2 x 2 x 5 x 3 x 9 (9 is a composite, so I need to break that down! )
2 x 2 x 2 x 5 x 3 x 3 x 3 (all primes, so that part is done - now the fun part, put those primes together!)

Ok, I don't know how to make an exponent on the computer, but here is what it would read like: 2 to the 3rd power (since there are 3 of them) times 3 to the third power (since there are three of those) times 5 (no exponenet needed since there is only one).
SO..... the prime factorization of 1080 is what is in bold right above. I hope this helps. Try a smaller number first.

HOMEWORK
5th grade - math test tomorrow (study guide due and finish 1.9 - time was given in class today)

Fluency

Spelling activities

band/orchestra tomorrow

bring environmental club sheet tomorrow (if interested)

GOAL BOOKS SIGNED?? $2 in your bank!!

See you tomorrow... :-)

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