# Factors of 430

Factors of 430 are 1, 2, 5, 10, 43, 86, 215, and 430

#### How to find factors of a number

 1.   Find factors of 430 using Division Method 2.   Find factors of 430 using Prime Factorization 3.   Find factors of 430 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 430

• Divide 430 by 1: 430 ÷ 1 : Remainder = 0
• Divide 430 by 2: 430 ÷ 2 : Remainder = 0
• Divide 430 by 5: 430 ÷ 5 : Remainder = 0
• Divide 430 by 10: 430 ÷ 10 : Remainder = 0
• Divide 430 by 43: 430 ÷ 43 : Remainder = 0
• Divide 430 by 86: 430 ÷ 86 : Remainder = 0
• Divide 430 by 215: 430 ÷ 215 : Remainder = 0
• Divide 430 by 430: 430 ÷ 430 : Remainder = 0

Hence, Factors of 430 are 1, 2, 5, 10, 43, 86, 215, and 430

#### 2. Steps to find factors of 430 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 430 using the division method, follow these steps:

• Step 1. Start dividing 430 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 430, which is 2. Divide 430 by 2 to obtain the quotient (215).
430 ÷ 2 = 215
• Step 3. Repeat step 1 with the obtained quotient (215).
215 ÷ 5 = 43
43 ÷ 43 = 1

So, the prime factorization of 430 is, 430 = 2 x 5 x 43.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 430 as shown below:

So, the prime factorization of 430 is, 430 = 2 x 5 x 43.

#### 3. Find factors of 430 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 430 would be the two numbers which, when multiplied, give 430 as the result.

The following table represents the calculation of factors of 430 in pairs:

Factor Pair Pair Factorization
1 and 430 1 x 430 = 430
2 and 215 2 x 215 = 430
5 and 86 5 x 86 = 430
10 and 43 10 x 43 = 430

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 430. They are called negative pair factors.

Hence, the negative pairs of 430 would be ( -1 , -430 ) , ( -2 , -215 ) , ( -5 , -86 ) and ( -10 , -43 ) .

#### 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. 430 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, 5, 10, 43, 86, 215, 430 are exact divisors of 430.
• 1 is a factor of every number. Eg. 1 is a factor of 430.
• Every number is a factor of zero (0), since 430 x 0 = 0.

• Which is the smallest prime factor of 430?

The smallest prime factor of 430 is 2.

• Is 430 a whole number?

Yes 430 is a whole number.

• What are the prime factors of 430?

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430.
Prime factors of 430 are 2, 5, 43.

• What two numbers make 430?

Two numbers that make 430 are 2 and 215.

• What are multiples of 430?

First five multiples of 430 are 860, 1290, 1720, 2150.

• What is the sum of all factors of 430?

The sum of all factors of 430 is 792.

• What are five multiples of 430?

First five multiples of 430 are 860, 1290, 1720, 2150, 2580.

• Is 430 a perfect square?

No 430 is not a perfect square.

• What is the greatest prime factors of 430?

The greatest prime factor of 430 is 43.

#### Examples of Factors

How many factors are there for 430?

Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430.
So there are in total 8 factors.

Kevin has been asked to write 7 factor(s) of 430. Can you predict the answer?

7 factor(s) of 430 are 1, 2, 5, 10, 43, 86, 215.

Sammy is puzzled while calculating the prime factors of 430. Can you help him find them?

Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430.
Prime factors of 430 are 2, 5, 43

What is prime factorization of 430?

Prime factorization of 430 is 2 x 5 x 43 = 2 x 5 x 43.

Ariel has been assigned the task to find the product of all the prime factors of 430. Can you help her?

Prime factors of 430 are 2, 5, 43.
Hence, the product of prime factors of 430.

Can you help Rubel to find out the product of the even factors of 430?

Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430.
Even factors of 430 are 2, 10, 86, 430.
Hence, product of even factors of 430 is; 2 x 10 x 86 x 430 = 739600.

Joy wants to calculate mean of all the factors of 430. Help him in finding the mean of 430.

Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 430 is 1 + 2 + 5 + 10 + 43 + 86 + 215 + 430 = 792.
Hence, the mean of factors of 430 is 792 ÷ 8 = 99.00.