What Are Factors of 70? Prime Factors of 70, Factors of 70 in Pairs

[LectureNotes (Notes)]

When we talk about factors, we are referring to the numbers that can be evenly divided into a given number without leaving any remainder. In this article, we will be discussing the factors of 70, including its prime factors and pairs of factors.

Understanding Factors of 70

Before we dive into the factors of 70, it is important to understand what factors are. A factor is a whole number that can be multiplied by another whole number to get the original number. For example, the factors of 14 are 1, 2, 7, and 14 because these are the numbers that can be multiplied together to get 14 (1 x 14 = 14, 2 x 7 = 14).

Now, let’s take a look at the factors of 70.

Factors of 70

The factors of 70 are:

• 1
• 2
• 5
• 7
• 10
• 14
• 35
• 70

These are the only eight numbers that can be multiplied together to get 70 (1 x 70 = 70, 2 x 35 = 70, 5 x 14 = 70, etc.). These are also the only numbers that can evenly divide into 70 without leaving a remainder.

Prime Factors of 70

A prime factor is a factor that is a prime number. A prime number is a number that is only divisible by 1 and itself. The prime factors of 70 are:

• 2
• 5
• 7

Both 2, 5, and 7 are prime numbers, which means they are the only numbers that can divide into 70 without leaving a remainder. In other words, 70 is divisible by 2, 5, and 7.

Factors of 70 in Pairs

It is also possible to list the factors of 70 in pairs. To do this, we need to find all the possible combinations of two numbers that multiply together to equal 70. These pairs are:

• 1 and 70
• 2 and 35
• 5 and 14
• 7 and 10

These are the only four pairs of numbers that can be multiplied together to get 70. It is important to note that the order of the pairs does not matter (i.e., 1 and 70 is the same as 70 and 1).

Conclusion

In conclusion, the factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. The prime factors of 70 are 2, 5, and 7. When listing the factors in pairs, there are only four possible pairs.

FAQs

1. What is a factor?

A factor is a whole number that can be multiplied by another whole number to get the original number.

2. How do you find the factors of a number?

To find the factors of a number, you need to list all the whole numbers that can be multiplied together to get the original number.

3. What are the prime factors of 70?

The prime factors of 70 are 2, 5, and 7.

4. How many factors does 70 have?

There are eight factors of 70.

5. Can a number have more than three prime factors?

Yes, a number can have more than three prime factors. For example, the number 210 has four prime factors: 2, 3, 5, and 7.