What is the Prime factorazation of 300 and what is the least common multiple of 18 and 60?

Question

K now someone just tell me the prime factorization of 300

Can someone just put the answer not all the work

Answer 1

y does anyone want to know that

Answer 2

Prme factorisation of 300 = 2 x 3 x 5 x 5 x 2

Least common multiple of 18 and 60

18 = 3x 2 x 3
60 = 3 x 2 x 5 x 2

least common multiple of 18 and 60 is 3 x 2 x 3 x 5 x 2 = 180

Answer 3

PF: 3*5*2*2*5 or 2^2*3*5^2
LCM: 180

Now the explanation:

Prime factorization:

Start by finding two numbers that multiply to 300, the closer the numbers are together the better. For example, 15 and 20:

15*20 = 300

Now, do the same thing with 15:

3*5*20 = 300

And the same with 20:

3*5*4*5 = 300

Keep going until all of the numbers in your list are prime. 3 and 5 are prime and so the only one we have left is 4. 2*2 = 4, so:

3*5*2*2*5 = 300

Now, just put them in order:

2*2*3*5*5.

Some math books want you to write it exponentially:

2^2*3*5^2,

I'd check with the book or your teacher.

Least Common Multiple:

Write out the multiples of 18 and below those write down the multiples of 60. Write them out until you see that there is a match in the lists. The first match is the least common multiple:

18, 36, 54, 72, 90, 108, 126, 144, 162, 180
60, 120, 180

So 180 is the least common multiple.

DON'T CONFUSE this with *greatest common factor*. Least common multiple deals with the multiples of the numbers (like you saw here), whereas greatest common factor deals with numbers that divide evenly into both the original numbers.

Answer 4

300 : 2 =150
150 : 2 = 75
75 : 3 = 25
25 : 5 = 5
5 : 5 = 1


So I divided by all prime numbers I saw divided 300 till I could no more.

300= 2*2*3*5*5

18 = 2*3*3
60 = 2*2*3*5

By looking at the factorization of 18 and 60 we see that 18 has 2,3,3 and 60 has one more 2 and a 5.
So 2*2*3*3*5 = 180 least common multiple.

Answer 5

300 = 2 x 2 x 3 x 5 x 5

The prime factorisation of 18 is 3 x 3 x 2
and of 60 is 2 x 2 x 3 x 5

The LCM of 18 and 60 needs to include the prime factors of both these numbers, so the answer is 2 x 2 x 3 x 3 x 5 = 180

Answer 6

300 =10 x 10 x 3
= 2x5x2x5x3 or 2^2 x 5^2 x 3prime factors of 300
18 =3 x 2 x 3
60 = 2 x3 x 2 x 5
LCM = 2 x 2 x 3 x 3 x 5
= 180 LCM or least common multiple

Answer 7

300 = 30 * 10 = 2*3*5*2*5 = 2^2 * 3 * 5^2

The LCM of 18 and 60 would contain the prime factorization of both.

18's factorization is 2 * 3^2
60's factorization is 2^2 * 3 * 5

So the LCM would have a factorization of 2^2 * 3^2 * 5 = 180

Answer 8

the prime factorization of 300 is 2x2x3x5x5 or 2 squared x 3 x 5 squared.

the least common multiple of 18 and 60 is 3.3333. Rounding it would equal 3

Answer 9

prime factorisation is to write the given number in the form of primes
300=2*150
=2*2*75
=2*2*3*25
=2*2*3*5*5
lcm of 18and60=180

Answer 10

300/2
150/2
75/3
25/5
5/5

2*2*3*5*5 is 300

LCM of 18, 60 is 180

Answer 11

300
2*150
2*2*75
2*2*5*15
2*2*5*5*3

2^2*3*5^2

LCM of 18 and 60 is 180