# Factors of 649

Factors of 649 are 1, 11, 59, and 649

#### How to find factors of a number

 1.   Find factors of 649 using Division Method 2.   Find factors of 649 using Prime Factorization 3.   Find factors of 649 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 649

• Divide 649 by 1: 649 ÷ 1 : Remainder = 0
• Divide 649 by 11: 649 ÷ 11 : Remainder = 0
• Divide 649 by 59: 649 ÷ 59 : Remainder = 0
• Divide 649 by 649: 649 ÷ 649 : Remainder = 0

Hence, Factors of 649 are 1, 11, 59, and 649

#### 2. Steps to find factors of 649 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 649 using the division method, follow these steps:

• Step 1. Start dividing 649 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 649, which is 11. Divide 649 by 11 to obtain the quotient (59).
649 ÷ 11 = 59
• Step 3. Repeat step 1 with the obtained quotient (59).
59 ÷ 59 = 1

So, the prime factorization of 649 is, 649 = 11 x 59.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 649 as shown below:

So, the prime factorization of 649 is, 649 = 11 x 59.

#### 3. Find factors of 649 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 649 would be the two numbers which, when multiplied, give 649 as the result.

The following table represents the calculation of factors of 649 in pairs:

Factor Pair Pair Factorization
1 and 649 1 x 649 = 649
11 and 59 11 x 59 = 649

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 649. They are called negative pair factors.

Hence, the negative pairs of 649 would be ( -1 , -649 ) , ( -11 , -59 ) .

#### 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

• Every factor of a number is an exact divisor of that number, example 1, 11, 59, 649 are exact divisors of 649.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 649 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 649.

• What are the prime factors of 649?

The factors of 649 are 1, 11, 59, 649.
Prime factors of 649 are 11, 59.

• What is the sum of all factors of 649?

The sum of all factors of 649 is 720.

• What are the pair factors of 649?

Pair factors of 649 are (1,649), (11,59).

• What two numbers make 649?

Two numbers that make 649 are 11 and 59.

• What are multiples of 649?

First five multiples of 649 are 1298, 1947, 2596, 3245.

• Is 649 a perfect square?

No 649 is not a perfect square.

• Which is greatest factor of 649?

The greatest factor of 649 is 59.

• How do you factors of 649?

Factors of 649 are 1, 11, 59, 649.

• What are five multiples of 649?

First five multiples of 649 are 1298, 1947, 2596, 3245, 3894.

#### Examples of Factors

Can you help Rubel to find out the product of the even factors of 649?

Factors of 649 are 1, 11, 59, 649.
Even factors of 649 are 0.
Hence, product of even factors of 649 is; 0 = 0.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 649? Help her in writing all the factors.

Positive factors are 1, 11, 59, 649.
Negative factors are -1, -11, -59, -649.

How many factors are there for 649?

Factors of 649 are 1, 11, 59, 649.
So there are in total 4 factors.

Sammy is puzzled while calculating the prime factors of 649. Can you help him find them?

Factors of 649 are 1, 11, 59, 649.
Prime factors of 649 are 11, 59

Joey wants to write all the prime factors of 649 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 649 are 11, 59.
So in exponential form it can be written as 11 x 59.

What is prime factorization of 649?

Prime factorization of 649 is 11 x 59 = 11 x 59.

Can you help Rubel to find out the product of the even factors of 649?

Factors of 649 are 1, 11, 59, 649.
Even factors of 649 are 0.
Hence, product of even factors of 649 is; 0 = 0.