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Hey there! Let’s talk about prime factorization. Specifically, let’s look at the prime factorization of 140 and 180. Now, if you’re like me, you might be scratching your head trying to figure out what that means. Well, don’t worry - I’m here to help! Prime factorization is the process of breaking down a number into its prime factors - the numbers that can only be divided by themselves and one. So for 140 and 180, we’ll break them down into their prime factors to get their prime factorizations. Ready? Here we go!

What Is The Prime Factorization Of 140 And 180? [Solved]

So, the greatest common factor (GCF) of 140 and 180 is 2 × 2 × 5, which equals 20. In other words, 20 is the highest number that can divide both 140 and 180 evenly.

  1. Prime Factorization: The process of breaking down a number into its prime factors, which are only divisible by 1 and itself.

  2. 140: The prime factorization of 140 is 2 x 2 x 5 x 7.

  3. 180: The prime factorization of 180 is 2 x 2 x 3 x 3 x 5.

Prime factorization is the process of breaking down a number into its prime factors. For example, when you factorize 140 and 180, you get 2 x 2 x 5 x 7 for 140 and 2 x 2 x 3 x 3 x 5 for 180. In other words, both numbers can be broken down into their smallest parts - prime numbers - which are only divisible by themselves and 1. Pretty cool, huh?