Question

factorise7059 by prime factorisation​

Answer 1

Answer:

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 7059 are all the prime numbers that when multiplied together equal 7059.

 

How to find the Prime Factors of 7059

The process of finding the Prime Factors of 7059 is called Prime Factorization of 7059. To get the Prime Factors of 7059, you divide 7059 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1.

This Prime Factorization process creates what we call the Prime Factor Tree of 7059. All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 7059. Here is the math to illustrate:

7059 ÷ 3 = 2353

2353 ÷ 13 = 181

181 ÷ 181 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 7059. Thus, the Prime Factors of 7059 are:

3, 13, 181

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