# Factors of 1430

Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, and 1430

#### How to find factors of a number

 1.   Find factors of 1430 using Division Method 2.   Find factors of 1430 using Prime Factorization 3.   Find factors of 1430 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 1430

• Divide 1430 by 1: 1430 ÷ 1 : Remainder = 0
• Divide 1430 by 2: 1430 ÷ 2 : Remainder = 0
• Divide 1430 by 5: 1430 ÷ 5 : Remainder = 0
• Divide 1430 by 10: 1430 ÷ 10 : Remainder = 0
• Divide 1430 by 11: 1430 ÷ 11 : Remainder = 0
• Divide 1430 by 13: 1430 ÷ 13 : Remainder = 0
• Divide 1430 by 22: 1430 ÷ 22 : Remainder = 0
• Divide 1430 by 26: 1430 ÷ 26 : Remainder = 0
• Divide 1430 by 55: 1430 ÷ 55 : Remainder = 0
• Divide 1430 by 65: 1430 ÷ 65 : Remainder = 0
• Divide 1430 by 110: 1430 ÷ 110 : Remainder = 0
• Divide 1430 by 130: 1430 ÷ 130 : Remainder = 0
• Divide 1430 by 143: 1430 ÷ 143 : Remainder = 0
• Divide 1430 by 286: 1430 ÷ 286 : Remainder = 0
• Divide 1430 by 715: 1430 ÷ 715 : Remainder = 0
• Divide 1430 by 1430: 1430 ÷ 1430 : Remainder = 0

Hence, Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, and 1430

#### 2. Steps to find factors of 1430 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 1430 using the division method, follow these steps:

• Step 1. Start dividing 1430 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 1430, which is 2. Divide 1430 by 2 to obtain the quotient (715).
1430 ÷ 2 = 715
• Step 3. Repeat step 1 with the obtained quotient (715).
715 ÷ 5 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1

So, the prime factorization of 1430 is, 1430 = 2 x 5 x 11 x 13.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 1430 as shown below:

So, the prime factorization of 1430 is, 1430 = 2 x 5 x 11 x 13.

#### 3. Find factors of 1430 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 1430 would be the two numbers which, when multiplied, give 1430 as the result.

The following table represents the calculation of factors of 1430 in pairs:

Factor Pair Pair Factorization
1 and 1430 1 x 1430 = 1430
2 and 715 2 x 715 = 1430
5 and 286 5 x 286 = 1430
10 and 143 10 x 143 = 1430
11 and 130 11 x 130 = 1430
13 and 110 13 x 110 = 1430
22 and 65 22 x 65 = 1430
26 and 55 26 x 55 = 1430

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 1430. They are called negative pair factors.

Hence, the negative pairs of 1430 would be ( -1 , -1430 ) , ( -2 , -715 ) , ( -5 , -286 ) , ( -10 , -143 ) , ( -11 , -130 ) , ( -13 , -110 ) , ( -22 , -65 ) and ( -26 , -55 ) .

#### 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. 1430 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, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430 are exact divisors of 1430.
• 1 is a factor of every number. Eg. 1 is a factor of 1430.
• Every number is a factor of zero (0), since 1430 x 0 = 0.

• What is prime factorization of 1430?

Prime factorization of 1430 is 2 x 5 x 11 x 13.

• How do you find factors of a negative number? ( eg. -1430 )?

Factors of -1430 are -1, -2, -5, -10, -11, -13, -22, -26, -55, -65, -110, -130, -143, -286, -715, -1430.

• What are the prime factors of 1430?

The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
Prime factors of 1430 are 2, 5, 11, 13.

• What are pair factors of 1430?

The pair factors of 1430 are (1,1430), (2,715), (5,286), (10,143), (11,130), (13,110), (22,65), (26,55).

• What is the greatest prime factors of 1430?

The greatest prime factor of 1430 is 13.

• What are six multiples of 1430?

First five multiples of 1430 are 2860, 4290, 5720, 7150, 8580, 10010.

• What are factors of 1430?

Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.

• Which is the smallest prime factor of 1430?

Smallest prime factor of 1430 is 2.

• Is 1430 a whole number?

Yes 1430 is a whole number.

#### Examples of Factors

Kevin has been asked to write 15 factor(s) of 1430. Can you predict the answer?

15 factor(s) of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715.

Sammy is puzzled while calculating the prime factors of 1430. Can you help him find them?

Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
Prime factors of 1430 are 2, 5, 11, 13

What is prime factorization of 1430?

Prime factorization of 1430 is 2 x 5 x 11 x 13 = 2 x 5 x 11 x 13.

Ariel has been assigned the task to find the product of all the prime factors of 1430. Can you help her?

Prime factors of 1430 are 2, 5, 11, 13.
Hence, the product of prime factors of 1430.

Can you help Rubel to find out the product of the even factors of 1430?

Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
Even factors of 1430 are 2, 10, 22, 26, 110, 130, 286, 1430.
Hence, product of even factors of 1430 is; 2 x 10 x 22 x 26 x 110 x 130 x 286 x 1430 = 66905856160000.

Joy wants to calculate mean of all the factors of 1430. Help him in finding the mean of 1430.

Factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 1430 is 1 + 2 + 5 + 10 + 11 + 13 + 22 + 26 + 55 + 65 + 110 + 130 + 143 + 286 + 715 + 1430 = 3024.
Hence, the mean of factors of 1430 is 3024 ÷ 16 = 189.00.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 1430? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430.
Negative factors are -1, -2, -5, -10, -11, -13, -22, -26, -55, -65, -110, -130, -143, -286, -715, -1430.