# Factors of 290

Factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290

#### How to find factors of a number

 1.   Find factors of 290 using Division Method 2.   Find factors of 290 using Prime Factorization 3.   Find factors of 290 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 290

• Divide 290 by 1: 290 ÷ 1 : Remainder = 0
• Divide 290 by 2: 290 ÷ 2 : Remainder = 0
• Divide 290 by 5: 290 ÷ 5 : Remainder = 0
• Divide 290 by 10: 290 ÷ 10 : Remainder = 0
• Divide 290 by 29: 290 ÷ 29 : Remainder = 0
• Divide 290 by 58: 290 ÷ 58 : Remainder = 0
• Divide 290 by 145: 290 ÷ 145 : Remainder = 0
• Divide 290 by 290: 290 ÷ 290 : Remainder = 0

Hence, Factors of 290 are 1, 2, 5, 10, 29, 58, 145, and 290

#### 2. Steps to find factors of 290 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 290 using the division method, follow these steps:

• Step 1. Start dividing 290 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 290, which is 2. Divide 290 by 2 to obtain the quotient (145).
290 ÷ 2 = 145
• Step 3. Repeat step 1 with the obtained quotient (145).
145 ÷ 5 = 29
29 ÷ 29 = 1

So, the prime factorization of 290 is, 290 = 2 x 5 x 29.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 290 as shown below:

So, the prime factorization of 290 is, 290 = 2 x 5 x 29.

#### 3. Find factors of 290 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 290 would be the two numbers which, when multiplied, give 290 as the result.

The following table represents the calculation of factors of 290 in pairs:

Factor Pair Pair Factorization
1 and 290 1 x 290 = 290
2 and 145 2 x 145 = 290
5 and 58 5 x 58 = 290
10 and 29 10 x 29 = 290

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 290. They are called negative pair factors.

Hence, the negative pairs of 290 would be ( -1 , -290 ) , ( -2 , -145 ) , ( -5 , -58 ) and ( -10 , -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

• Each number is a factor of itself. Eg. 290 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, 29, 58, 145, 290 are exact divisors of 290.
• 1 is a factor of every number. Eg. 1 is a factor of 290.
• Every number is a factor of zero (0), since 290 x 0 = 0.

• What two numbers make 290?

Two numbers that make 290 are 2 and 145.

• What is prime factorization of 290?

Prime factorization of 290 is 2 x 5 x 29.

• Write some multiples of 290?

First five multiples of 290 are 580, 870, 1160, 1450.

• Which is the smallest prime factor of 290?

The smallest prime factor of 290 is 2.

• Is 290 a perfect square?

No 290 is not a perfect square.

• What is the sum of all factors of 290?

The sum of all factors of 290 is 540.

• What are factors of 290?

Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290.

• How do you find factors of a negative number? ( eg. -290 )?

Factors of -290 are -1, -2, -5, -10, -29, -58, -145, -290.

• Is 290 a whole number?

Yes 290 is a whole number.

#### Examples of Factors

Joy wants to calculate mean of all the factors of 290. Help him in finding the mean of 290.

Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 290 is 1 + 2 + 5 + 10 + 29 + 58 + 145 + 290 = 540.
Hence, the mean of factors of 290 is 540 ÷ 8 = 67.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 290? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 29, 58, 145, 290.
Negative factors are -1, -2, -5, -10, -29, -58, -145, -290.

Joey wants to write all the prime factors of 290 in exponential form, but he doesn't know how to do so can you assist him in this task?

Prime factors of 290 are 2, 5, 29.
So in exponential form it can be written as 2 x 5 x 29.

Kevin has been asked to write 7 factor(s) of 290. Can you predict the answer?

7 factor(s) of 290 are 1, 2, 5, 10, 29, 58, 145.

Sammy is puzzled while calculating the prime factors of 290. Can you help him find them?

Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290.
Prime factors of 290 are 2, 5, 29

What is prime factorization of 290?

Prime factorization of 290 is 2 x 5 x 29 = 2 x 5 x 29.

Can you help Rubel to find out the product of the even factors of 290?

Factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290.
Even factors of 290 are 2, 10, 58, 290.
Hence, product of even factors of 290 is; 2 x 10 x 58 x 290 = 336400.