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Write the prime factorization of 70. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

Question

Write the prime factorization of 70. Use exponents when appropriate and order the factors from least to greatest (for example, 2235).Submit

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Solution

Sure, here is the prime factorization of 70:

  1. First, we find the smallest prime number, which is 2. We see if it can divide 70. It can, because 70 is an even number. So, we write down 2 as one of the prime factors.

  2. We then divide 70 by 2, which gives us 35.

  3. Now, we try to divide 35 by 2, but it can't be divided evenly. So, we move to the next prime number, which is 3. 35 can't be divided by 3 either.

  4. We then try the next prime number, which is 5. 35 can be divided by 5, so we write down 5 as another prime factor.

  5. We divide 35 by 5, which gives us 7.

  6. 7 is a prime number itself, so we write down 7 as the last prime factor.

So, the prime factorization of 70 is 2 * 5 * 7.

This problem has been solved

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