# Factors of 280

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280

#### How to find factors of a number

 1.   Find factors of 280 using Division Method 2.   Find factors of 280 using Prime Factorization 3.   Find factors of 280 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 280

• Divide 280 by 1: 280 ÷ 1 : Remainder = 0
• Divide 280 by 2: 280 ÷ 2 : Remainder = 0
• Divide 280 by 4: 280 ÷ 4 : Remainder = 0
• Divide 280 by 5: 280 ÷ 5 : Remainder = 0
• Divide 280 by 7: 280 ÷ 7 : Remainder = 0
• Divide 280 by 8: 280 ÷ 8 : Remainder = 0
• Divide 280 by 10: 280 ÷ 10 : Remainder = 0
• Divide 280 by 14: 280 ÷ 14 : Remainder = 0
• Divide 280 by 20: 280 ÷ 20 : Remainder = 0
• Divide 280 by 28: 280 ÷ 28 : Remainder = 0
• Divide 280 by 35: 280 ÷ 35 : Remainder = 0
• Divide 280 by 40: 280 ÷ 40 : Remainder = 0
• Divide 280 by 56: 280 ÷ 56 : Remainder = 0
• Divide 280 by 70: 280 ÷ 70 : Remainder = 0
• Divide 280 by 140: 280 ÷ 140 : Remainder = 0
• Divide 280 by 280: 280 ÷ 280 : Remainder = 0

Hence, Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, and 280

#### 2. Steps to find factors of 280 using Prime Factorization

A prime number is a number that has exactly two factors, 1 and the number itself. Prime factorization of a number means breaking down of the number into the form of products of its prime factors.

There are two different methods that can be used for the prime factorization.

#### Method 1: Division Method

To find the primefactors of 280 using the division method, follow these steps:

• Step 1. Start dividing 280 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 280, which is 2. Divide 280 by 2 to obtain the quotient (140).
280 ÷ 2 = 140
• Step 3. Repeat step 1 with the obtained quotient (140).
140 ÷ 2 = 70
70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1

So, the prime factorization of 280 is, 280 = 2 x 2 x 2 x 5 x 7.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 280 as shown below:

So, the prime factorization of 280 is, 280 = 2 x 2 x 2 x 5 x 7.

#### 3. Find factors of 280 in Pairs

Pair factors of a number are any two numbers which, which on multiplying together, give that number as a result. The pair factors of 280 would be the two numbers which, when multiplied, give 280 as the result.

The following table represents the calculation of factors of 280 in pairs:

Factor Pair Pair Factorization
1 and 280 1 x 280 = 280
2 and 140 2 x 140 = 280
4 and 70 4 x 70 = 280
5 and 56 5 x 56 = 280
7 and 40 7 x 40 = 280
8 and 35 8 x 35 = 280
10 and 28 10 x 28 = 280
14 and 20 14 x 20 = 280

Since the product of two negative numbers gives a positive number, the product of the negative values of both the numbers in a pair factor will also give 280. They are called negative pair factors.

Hence, the negative pairs of 280 would be ( -1 , -280 ) , ( -2 , -140 ) , ( -4 , -70 ) , ( -5 , -56 ) , ( -7 , -40 ) , ( -8 , -35 ) , ( -10 , -28 ) and ( -14 , -20 ) .

#### What are factors?

In mathematics, a factor is that number which divides into another number exactly, without leaving a remainder. A factor of a number can be positive or negative.

#### Properties of factors

• Each number is a factor of itself. Eg. 280 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 280.
• Every number is a factor of zero (0), since 280 x 0 = 0.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 are exact divisors of 280.
• Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280. Each factor divides 280 without leaving a remainder.
• Every factor of a number is less than or equal to the number, eg. 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280 are all less than or equal to 280.

• What are the prime factors of 280?

The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Prime factors of 280 are 2, 2, 2, 5, 7.

• What is the sum of all factors of 280?

The sum of all factors of 280 is 720.

• What are the pair factors of 280?

Pair factors of 280 are (1,280), (2,140), (4,70), (5,56), (7,40), (8,35), (10,28), (14,20).

• What two numbers make 280?

Two numbers that make 280 are 2 and 140.

• What are multiples of 280?

First five multiples of 280 are 560, 840, 1120, 1400.

• Is 280 a perfect square?

No 280 is not a perfect square.

• Which is greatest factor of 280?

The greatest factor of 280 is 140.

• How do you factors of 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.

• What are five multiples of 280?

First five multiples of 280 are 560, 840, 1120, 1400, 1680.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Even factors of 280 are 2, 4, 8, 10, 14, 20, 28, 40, 56, 70, 140, 280.
Hence, product of even factors of 280 is; 2 x 4 x 8 x 10 x 14 x 20 x 28 x 40 x 56 x 70 x 140 x 280 = 30840979456000000.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 280? Help her in writing all the factors.

Positive factors are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Negative factors are -1, -2, -4, -5, -7, -8, -10, -14, -20, -28, -35, -40, -56, -70, -140, -280.

How many factors are there for 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
So there are in total 16 factors.

Sammy is puzzled while calculating the prime factors of 280. Can you help him find them?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Prime factors of 280 are 2, 2, 2, 5, 7

Joey wants to write all the prime factors of 280 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 280 are 2, 2, 2, 5, 7.
So in exponential form it can be written as 23 x 5 x 7.

What is prime factorization of 280?

Prime factorization of 280 is 2 x 2 x 2 x 5 x 7 = 23 x 5 x 7.

Can you help Rubel to find out the product of the even factors of 280?

Factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280.
Even factors of 280 are 2, 4, 8, 10, 14, 20, 28, 40, 56, 70, 140, 280.
Hence, product of even factors of 280 is; 2 x 4 x 8 x 10 x 14 x 20 x 28 x 40 x 56 x 70 x 140 x 280 = 30840979456000000.