I need Help please I need to finish a Unit test before I go camping at the ocean the question is, Find the prime factorization of the number 3,240.
2 x 3 (3x3x3x3) x 5 (5x5x5x5)
2 (2x2x2) x 3 (3x3x3x3) x 10
2 (2x2x2) x 3 (3x3x3x3) x 5
2 (2x2x2) x 3 (3x3x3x3x3) x 5
actually never mind I solved it but my new question is Find the GCF of the numbers 140 and 180.
20
90
30
10
I don't know what a GCF is
3,240
= 2 * 1620
= 2*2 * 810
= 2*2*2 * 405
= 2*2*2*3 * 135
= 2*2*2*3*3 * 45
= 2*2*2*3*3*3 * 15
= 2*2*2*3*3*3*3 * 5
thanks
don't know what a GCF is?
ever hear of google, or a dictionary?
It is the Greatest Common Factor -- that is, the largest integer which divides both numbers.
140 = 2^2 * 5 * 7
180 = 2^2 * 3^2 * 5
so the largest number which divides both is 2^2 * 5 = 20
140 = 20*7
180 = 20*9
and 7 and 9 have no other common factors
To find the prime factorization of a number, you need to break it down into its prime factors. Prime factors are the prime numbers that divide exactly into the given number.
To find the prime factorization of the number 3,240, you can follow these steps:
1. Start by dividing the number by the smallest prime number, which is 2. Keep dividing by 2 until you can no longer divide evenly. Take note of the number of times you divided by 2.
3,240 ÷ 2 = 1,620
1,620 ÷ 2 = 810
810 ÷ 2 = 405
405 ÷ 2 = 202.5 (not a whole number, move to the next prime number)
2. Move to the next prime number, which is 3, and repeat the process. Divide the current quotient by 3 until you can no longer divide evenly. Again, take note of the number of times you divided by 3.
405 ÷ 3 = 135
135 ÷ 3 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
3. Move to the next prime number, which is 5, and repeat the process. Divide the current quotient by 5 until you can no longer divide evenly. Take note of the number of times you divided by 5.
5 ÷ 5 = 1
4. The prime factorization is obtained by multiplying the prime factors together with their corresponding exponents.
Therefore, the prime factorization of 3,240 is:
2^4 x 3^4 x 5
So, the correct answer is:
2 (2x2x2) x 3 (3x3x3x3) x 5