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# What will the prime factorization of this multiple have in common with the prime factorizations of 72?

Updated: 8/19/2019

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Q: What will the prime factorization of this multiple have in common with the prime factorizations of 72?
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### How can you determine from the prime factorization whether the least common multiple of two numbers is the product of the numbers?

If the prime factorizations have no factors in common, the LCM is the product of them.

### How can you use the prime factorization of two numbers to determine whether they are relative prime?

If the prime factorizations have no prime factors in common, the numbers are relatively prime.

### What are the prime factorizations of 40 and 100?

Prime factorization of 40 = 2x2x2x5 Prime factorization of 100 = 2x2x5x5

### Do you do a factor rainbow for greatest common factor?

You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.

### How is the prime factorization of a variable found?

Variables don't have prime factorizations.

### What sre the prime factorizations of 2?

2 is already prime; no factorization.

### What is the prime factorization of a negative?

Negative numbers don't have prime factorizations.

### How can you use prime factorization to determine whether two numbers are relatively prime?

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

### What is the prime factorization integer for -16?

Negative numbers don't have prime factorizations.

### What is the prime factorization of negative 24?

Negative numbers don't have prime factorizations.

### What is the prime factorization of negative 160?

Negative numbers don't have prime factorizations.

### What is the prime factorization of negative 72?

Negative numbers don't have prime factorizations.