# Factors of 435

Factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435

#### How to find factors of a number

 1.   Find factors of 435 using Division Method 2.   Find factors of 435 using Prime Factorization 3.   Find factors of 435 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 435

• Divide 435 by 1: 435 ÷ 1 : Remainder = 0
• Divide 435 by 3: 435 ÷ 3 : Remainder = 0
• Divide 435 by 5: 435 ÷ 5 : Remainder = 0
• Divide 435 by 15: 435 ÷ 15 : Remainder = 0
• Divide 435 by 29: 435 ÷ 29 : Remainder = 0
• Divide 435 by 87: 435 ÷ 87 : Remainder = 0
• Divide 435 by 145: 435 ÷ 145 : Remainder = 0
• Divide 435 by 435: 435 ÷ 435 : Remainder = 0

Hence, Factors of 435 are 1, 3, 5, 15, 29, 87, 145, and 435

#### 2. Steps to find factors of 435 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 435 using the division method, follow these steps:

• Step 1. Start dividing 435 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 435, which is 3. Divide 435 by 3 to obtain the quotient (145).
435 ÷ 3 = 145
• Step 3. Repeat step 1 with the obtained quotient (145).
145 ÷ 5 = 29
29 ÷ 29 = 1

So, the prime factorization of 435 is, 435 = 3 x 5 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 435 as shown below:

So, the prime factorization of 435 is, 435 = 3 x 5 x 29.

#### 3. Find factors of 435 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 435 would be the two numbers which, when multiplied, give 435 as the result.

The following table represents the calculation of factors of 435 in pairs:

Factor Pair Pair Factorization
1 and 435 1 x 435 = 435
3 and 145 3 x 145 = 435
5 and 87 5 x 87 = 435
15 and 29 15 x 29 = 435

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 435. They are called negative pair factors.

Hence, the negative pairs of 435 would be ( -1 , -435 ) , ( -3 , -145 ) , ( -5 , -87 ) and ( -15 , -29 ) .

#### 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

• Every number is a factor of zero (0), since 435 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, 3, 5, 15, 29, 87, 145, 435 are exact divisors of 435.
• Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. Each factor divides 435 without leaving a remainder.

• What are the prime factors of 435?

The factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.
Prime factors of 435 are 3, 5, 29.

• What two numbers make 435?

Two numbers that make 435 are 3 and 145.

• What is the greatest prime factors of 435?

The greatest prime factor of 435 is 29.

• What are factors of 435?

Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.

• How do you find factors of a negative number? ( eg. -435 )?

Factors of -435 are -1, -3, -5, -15, -29, -87, -145, -435.

• What are five multiples of 435?

First five multiples of 435 are 870, 1305, 1740, 2175, 2610.

• Write some multiples of 435?

First five multiples of 435 are 870, 1305, 1740, 2175.

• Is 435 a perfect square?

No 435 is not a perfect square.

• What two numbers make 435?

Two numbers that make 435 are 3 and 145.

#### Examples of Factors

What is prime factorization of 435?

Prime factorization of 435 is 3 x 5 x 29 = 3 x 5 x 29.

Sammy is puzzled while calculating the prime factors of 435. Can you help him find them?

Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.
Prime factors of 435 are 3, 5, 29

Kevin has been asked to write 7 factor(s) of 435. Can you predict the answer?

7 factor(s) of 435 are 1, 3, 5, 15, 29, 87, 145.

Joey wants to write all the prime factors of 435 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 435 are 3, 5, 29.
So in exponential form it can be written as 3 x 5 x 29.

How many factors are there for 435?

Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.
So there are in total 8 factors.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 435? Help her in writing all the factors.

Positive factors are 1, 3, 5, 15, 29, 87, 145, 435.
Negative factors are -1, -3, -5, -15, -29, -87, -145, -435.

Can you help Rubel to find out the product of the even factors of 435?

Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435.
Even factors of 435 are 0.
Hence, product of even factors of 435 is; 0 = 0.