# Factors of 874

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, and 874

#### How to find factors of a number

 1.   Find factors of 874 using Division Method 2.   Find factors of 874 using Prime Factorization 3.   Find factors of 874 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 874

• Divide 874 by 1: 874 ÷ 1 : Remainder = 0
• Divide 874 by 2: 874 ÷ 2 : Remainder = 0
• Divide 874 by 19: 874 ÷ 19 : Remainder = 0
• Divide 874 by 23: 874 ÷ 23 : Remainder = 0
• Divide 874 by 38: 874 ÷ 38 : Remainder = 0
• Divide 874 by 46: 874 ÷ 46 : Remainder = 0
• Divide 874 by 437: 874 ÷ 437 : Remainder = 0
• Divide 874 by 874: 874 ÷ 874 : Remainder = 0

Hence, Factors of 874 are 1, 2, 19, 23, 38, 46, 437, and 874

#### 2. Steps to find factors of 874 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 874 using the division method, follow these steps:

• Step 1. Start dividing 874 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 874, which is 2. Divide 874 by 2 to obtain the quotient (437).
874 ÷ 2 = 437
• Step 3. Repeat step 1 with the obtained quotient (437).
437 ÷ 19 = 23
23 ÷ 23 = 1

So, the prime factorization of 874 is, 874 = 2 x 19 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 874 as shown below:

So, the prime factorization of 874 is, 874 = 2 x 19 x 23.

#### 3. Find factors of 874 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 874 would be the two numbers which, when multiplied, give 874 as the result.

The following table represents the calculation of factors of 874 in pairs:

Factor Pair Pair Factorization
1 and 874 1 x 874 = 874
2 and 437 2 x 437 = 874
19 and 46 19 x 46 = 874
23 and 38 23 x 38 = 874

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 874. They are called negative pair factors.

Hence, the negative pairs of 874 would be ( -1 , -874 ) , ( -2 , -437 ) , ( -19 , -46 ) and ( -23 , -38 ) .

#### How can we define factors?

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

#### Properties of factors

• Each number is a factor of itself. Eg. 874 is a factor of itself.
• 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, 19, 23, 38, 46, 437, 874 are exact divisors of 874.
• 1 is a factor of every number. Eg. 1 is a factor of 874.
• Every number is a factor of zero (0), since 874 x 0 = 0.

• What are the prime factors of 874?

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.
Prime factors of 874 are 2, 19, 23.

• What is the sum of all factors of 874?

The sum of all factors of 874 is 1440.

• What are the pair factors of 874?

Pair factors of 874 are (1,874), (2,437), (19,46), (23,38).

• What two numbers make 874?

Two numbers that make 874 are 2 and 437.

• What are multiples of 874?

First five multiples of 874 are 1748, 2622, 3496, 4370.

• Is 874 a perfect square?

No 874 is not a perfect square.

• Which is greatest factor of 874?

The greatest factor of 874 is 437.

• How do you factors of 874?

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.

• What are five multiples of 874?

First five multiples of 874 are 1748, 2622, 3496, 4370, 5244.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 874?

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.
Even factors of 874 are 2, 38, 46, 874.
Hence, product of even factors of 874 is; 2 x 38 x 46 x 874 = 3055504.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 874? Help her in writing all the factors.

Positive factors are 1, 2, 19, 23, 38, 46, 437, 874.
Negative factors are -1, -2, -19, -23, -38, -46, -437, -874.

How many factors are there for 874?

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.
So there are in total 8 factors.

Sammy is puzzled while calculating the prime factors of 874. Can you help him find them?

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.
Prime factors of 874 are 2, 19, 23

Joey wants to write all the prime factors of 874 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 874 are 2, 19, 23.
So in exponential form it can be written as 2 x 19 x 23.

What is prime factorization of 874?

Prime factorization of 874 is 2 x 19 x 23 = 2 x 19 x 23.

Can you help Rubel to find out the product of the even factors of 874?

Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874.
Even factors of 874 are 2, 38, 46, 874.
Hence, product of even factors of 874 is; 2 x 38 x 46 x 874 = 3055504.