Here we have a collection of all the information you may need about the Prime Factors of 42. We will give you the definition of Prime Factors of 42, show you how to find the Prime Factors of 42 (Prime Factorization of 42) by creating a Prime Factor Tree of 42, tell you how many Prime Factors of 42 there are, and we will show you the Product of Prime Factors of 42.

Prime Factors of 42 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 42 are all the prime numbers that when multiplied together equal 42.

How to find the Prime Factors of 42

The process of finding the Prime Factors of 42 is called Prime Factorization of 42. To get the Prime Factors of 42, you divide 42 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 42. See illustration below.

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 42. Here is the math to illustrate:

42 ÷ 2 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

Again, all the prime numbers you used to divide above are the Prime Factors of 42. Thus, the Prime Factors of 42 are:

2, 3, 7.

How many Prime Factors of 42?

When we count the number of prime numbers above, we find that 42 has a total of 3 Prime Factors.

Product of Prime Factors of 42

The Prime Factors of 42 are unique to 42. When you multiply all the Prime Factors of 42 together it will result in 42. This is called the Product of Prime Factors of 42. The Product of Prime Factors of 42 is:

2 × 3 × 7 = 42

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Prime Factors of 43

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