# hello i need help please help me what is the prime factorization in exponent form for the numbers: 27 and 780 thank you

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27 and 780

The easiest way to find the prime factorization of a number is using a factor tree.

27 780

/ \ / \

* 3* 9 78 10

/ \ / \ / \

* 3 3* 6

**13****2 5**/ \

**2 3 **

27 = 3 * 3 * 3 = 3^3

780 = 2 * 2 * 3 * 5 * 13 = 2^2 * 3 * 5 * 13

The prime factorization of 27 is 3 x 3 x 3, which is 3^3 in exponent form.

The prime factorization of 780 is 2 x 2 x 3 x 5 x 13, which is 2^2 x 3 x 5 x 13. (Some teachers may ask you to write out the first-power exponents, which would be 2^2 x 3^1 x 5^1 x 13^1. Check your teacher's instructions, examples, etc.)

Hope this helps. Good luck!

Prime factorization means to find the prime numbers that multiply together to equal the original number. The simplest way to do this is through a factor tree. Write the original number at the top. Write two factors that multiply to equal that number. Continue until only prime numbers are left.

27 780

/ \ /\

9 3 78 10

/\ /\ /\

3 3 2 39 2 5

/\

3 13

So, the prime factorization of 27 = 3x3x3 or 3^3.

The prime factorization of 780 = 2x2x3x5x13 or 2^2 x 3 x 5 x 13.