# Factors of 7429

Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, and 7429

#### How to find factors of a number

 1.   Find factors of 7429 using Division Method 2.   Find factors of 7429 using Prime Factorization 3.   Find factors of 7429 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 7429

• Divide 7429 by 1: 7429 ÷ 1 : Remainder = 0
• Divide 7429 by 17: 7429 ÷ 17 : Remainder = 0
• Divide 7429 by 19: 7429 ÷ 19 : Remainder = 0
• Divide 7429 by 23: 7429 ÷ 23 : Remainder = 0
• Divide 7429 by 323: 7429 ÷ 323 : Remainder = 0
• Divide 7429 by 391: 7429 ÷ 391 : Remainder = 0
• Divide 7429 by 437: 7429 ÷ 437 : Remainder = 0
• Divide 7429 by 7429: 7429 ÷ 7429 : Remainder = 0

Hence, Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, and 7429

#### 2. Steps to find factors of 7429 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 7429 using the division method, follow these steps:

• Step 1. Start dividing 7429 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 7429, which is 17. Divide 7429 by 17 to obtain the quotient (437).
7429 ÷ 17 = 437
• Step 3. Repeat step 1 with the obtained quotient (437).
437 ÷ 19 = 23
23 ÷ 23 = 1

So, the prime factorization of 7429 is, 7429 = 17 x 19 x 23.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 7429 as shown below:

So, the prime factorization of 7429 is, 7429 = 17 x 19 x 23.

#### 3. Find factors of 7429 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 7429 would be the two numbers which, when multiplied, give 7429 as the result.

The following table represents the calculation of factors of 7429 in pairs:

Factor Pair Pair Factorization
1 and 7429 1 x 7429 = 7429
17 and 437 17 x 437 = 7429
19 and 391 19 x 391 = 7429
23 and 323 23 x 323 = 7429

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 7429. They are called negative pair factors.

Hence, the negative pairs of 7429 would be ( -1 , -7429 ) , ( -17 , -437 ) , ( -19 , -391 ) and ( -23 , -323 ) .

#### 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, 17, 19, 23, 323, 391, 437, 7429 are exact divisors of 7429.
• Every number other than 1 has at least two factors, namely the number itself and 1.
• Each number is a factor of itself. Eg. 7429 is a factor of itself.
• 1 is a factor of every number. Eg. 1 is a factor of 7429.

• Is 7429 a perfect square?

No 7429 is not a perfect square.

• What are factors of 7429?

Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429.

• Which is greatest factor of 7429?

The greatest factor of 7429 is 437.

• What is the sum of all factors of 7429?

The sum of all factors of 7429 is 8640.

• What are multiples of 7429?

First five multiples of 7429 are 14858, 22287, 29716, 37145.

• What is the greatest prime factors of 7429?

The greatest prime factor of 7429 is 23.

• What are six multiples of 7429?

First five multiples of 7429 are 14858, 22287, 29716, 37145, 44574, 52003.

• What is prime factorization of 7429?

Prime factorization of 7429 is 17 x 19 x 23.

• Is 7429 a whole number?

Yes 7429 is a whole number.

#### Examples of Factors

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 7429? Help her in writing all the factors.

Positive factors are 1, 17, 19, 23, 323, 391, 437, 7429.
Negative factors are -1, -17, -19, -23, -323, -391, -437, -7429.

Can you help Sammy find out the product of the odd factors of 7429?

Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429.
Odd factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429.
Hence product of odd factors of 7429 is; 1 x 17 x 19 x 23 x 323 x 391 x 437 x 7429 = 3045940625581681.

Joey wants to write all the prime factors of 7429 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 7429 are 17, 19, 23.
So in exponential form it can be written as 17 x 19 x 23.

How many factors are there for 7429?

Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 7429. Can you predict the answer?

7 factor(s) of 7429 are 1, 17, 19, 23, 323, 391, 437.

Sammy is puzzled while calculating the prime factors of 7429. Can you help him find them?

Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429.
Prime factors of 7429 are 17, 19, 23

What is prime factorization of 7429?

Prime factorization of 7429 is 17 x 19 x 23 = 17 x 19 x 23.