Write 84 as a product of primes.Use index notation?

Question

How can I express the number 84 as a product of its prime factors? Additionally, could you please show this representation using index notation?

Anonymous · Accepted Answer

12 x 72^2 x 3 x 7

Anonymous · Answer

You can see 84 is divisible by 4, so 84 = 4*21
84 = 2*2*3*7 = 2^2*3*7

Anonymous · Answer

2^2 × 3 × 7

Amie Lindgren DDS · Answer

If you don&rsquo;t know what prime numbers are, they are numbers that are only divisible by themselves and 1. These include: 1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, etc.To write any number as a product of primes, you have to do a factor tree. Basically, you write the number and keep dividing it by prime numbers until you reach two prime numbers at the end. To show you, I&rsquo;ll put all the prime numbers between &rdquo; &ldquo;. &mdash;&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;&ndash;Here&rsquo;s the first step: 84 = &ldquo;2&rdquo; x 42 Since 2 is prime number, it can&rsquo;t be further simplified. Now, you&rsquo;ll just have to divide 42 by another prime and another number, and repeat this until you can&rsquo;t simplify anymore. So:84 = &ldquo;2&rdquo; x 42 42 = &ldquo;2&rdquo; x 2121= &ldquo;3&rdquo; x &ldquo;7&rdquo;At this point, you&rsquo;ve got two prime numbers: this is the end of the factorization. Now, take all the prime numbers&rdquo; &ldquo;, and multiply them by each other. This gives you 84. 2 x 2 x 3 x 7 = 84&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;&mdash;Now, for the index notation part, you know how 2 x 2 is the same as 2^2? That&rsquo;s all you have to do! Just represent any repeated numbers as exponents.84 = 2 x 2 x 3 x 784 = 2^2 x 3 x 7

Anonymous · Answer

84  =   7  x  12

=   7  x  3  x  4

=   7  x  3   x  2^2

Anonymous

Write 84 as a product of primes.Use index notation?

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