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Find the prime factorization of 405


2 Answers

4 votes

Answer:

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Explanation:

I'll factor 405 with the Factor Tree Method.

Step 1: Place the number 405 on top of the factor tree.

Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.

Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.

Step 4: Write the number as the product of prime factors you got.

405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5

Find the prime factorization of 405 ​-example-1
User Paul Designer
by
3.4k points
13 votes

Answer:

The factorisation of 405

405 = 5x3x3x3x3

Find the prime factorization of 405 ​-example-1
User Masih Jahangiri
by
3.3k points