Prime Factors of 698

Looking to get a list of the prime factors of 698? In this article we'll give you all of the information you need, including the definition of the prime factors of 698, how to calculate the prime factors of 698 (also known as the prime factorization of 698). As a bonus, we'll also list out the prime factor tree of 698 the product of prime factors of 698, and tell you how many prime factors 698 has.

Prime Factors of 698 Definition

Every number can be represented as a product of prime numbers. So when we talk aqbout prime factorization of 698, we're talking about the building blocks of the number. A prime factor is a positive integer that can only be divided by 1 and itself. The prime factors of 698 are all of the prime numbers in it that when multipled together will equal 698.

Let's look at how to find all of the prime factors of 698 and list them out.

How to Find the Prime Factors of 698

You'll often see the process of finding prime factors of 698 referred to as prime factorization. To get the prime factors of 698 we need to divide 698 by the smallest prime number possible. You then repeat the same process by taking the result and dividing that number by the smallest prime number. Eventually, you end up with the number 1.

This process creates something called a prime factor tree of 698. The prime numbers used in this tree are the prime factors of 698. Let's look at the prime factor tree for 698:

• 698 ÷ 2 = 349
• 349 ÷ 349 = 1

Put simply, all of the prime numbers that you used to divide above are the prime factors of 698 as well. So what we are left with is the answer to your search, the prime factors of 698:

2, and 349

How Many Prime Factors of 698 Are There?

If we count up all of the prime factors of 698 used in the prime factor tree above, we can see that 698 has a total of 2 prime factors.

Product of Prime Factors of 698

The prime factors shown above (2, and 349) are completely unique to 698. When we multiply all of them together the result will be 698 and this is what we call the product of prime factors of 698. The prime factor products of 698 are listed below:

2 x 349 = 698

So there you have it. A complete guide to the factors of 698. You should now have the knowledge and skills to go out and calculate your own factors and factor pairs for any number you like.

Feel free to try the calculator below to check another number or, if you're feeling fancy, grab a pencil and paper and try and do it by hand. Just make sure to pick small numbers!

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Prime Factors of 699