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write 24 in prime factorzation using exponents?

Complete the prime factorzation using exponents?12=2(right next to that two is a exponent) and also 40=___.5

i need every step.

2006-08-28 14:11:14 · 5 answers · asked by sk8ers_rock94 1 in Education & Reference Homework Help

5 answers

prime factorzation of 24 is 3 times 2 to the third power(which is exponent 3) You keep dividing the number you want to factor until you have only prime numbers left. You are left with 2 x 2 x 2 x 3. This is 3 times 2 to the third power.

40 = 5 x 2(3) the three should be a small three which is an exponent. I can't get my key board to do a small three. Good Luck!!

2006-08-28 14:31:00 · answer #1 · answered by Anonymous · 0 0

I'll illustrate the method with an example. Find the prime factorization of 24:

24 ÷ 2 = 12
12 ÷ 2 = 6
6 ÷ 2 = 3

and 3 is a prime number. As you can see, I started by dividing by the smallest prime number, and dividing the result as many times as I could, and then at the end I was left with a prime number. So 24 is 2 × 2 × 2 × 3.

You might also notice in this example, that the first quotient, 12, was written twice, as was each quotient that follows it. If you're finding the prime factorization of a few different numbers, you might find it easier to just write each answer once, on the line below. That looks like this:

Find the prime factorization of 24:

24 ÷ 2
12 ÷ 2
6 ÷ 2
3

Now the last number written on each line is a prime number, so the method is not only easier to write, but it is clearer to see, as well. Again, the prime factorization of 24 is 2 × 2 × 2 × 3. This can be written as 23 × 3. The little "3" is called an exponent, and means that the 2 appears three times as a factor of 24. You say this "two to the power three times three".

2006-08-28 14:18:03 · answer #2 · answered by Uncle Red 6 · 0 0

Damn, ask some thing simple like..".how long does it take a one legged grasshopper...to kick the seeds off a dill pickle."

2006-08-28 14:16:27 · answer #3 · answered by ? 6 · 0 0

I really don't know

2006-08-28 14:14:30 · answer #4 · answered by Lil Red 2 · 0 0

GOSH SORRY HOPE YOU GET THE ANSWER

2006-08-28 14:14:44 · answer #5 · answered by Penney S 6 · 0 0

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