# Factors of 890

Factors of 890 are 1, 2, 5, 10, 89, 178, 445, and 890

#### How to find factors of a number

 1.   Find factors of 890 using Division Method 2.   Find factors of 890 using Prime Factorization 3.   Find factors of 890 in Pairs 4.   How can factors be defined? 5.   Frequently asked questions 6.   Examples of factors

### Example: Find factors of 890

• Divide 890 by 1: 890 ÷ 1 : Remainder = 0
• Divide 890 by 2: 890 ÷ 2 : Remainder = 0
• Divide 890 by 5: 890 ÷ 5 : Remainder = 0
• Divide 890 by 10: 890 ÷ 10 : Remainder = 0
• Divide 890 by 89: 890 ÷ 89 : Remainder = 0
• Divide 890 by 178: 890 ÷ 178 : Remainder = 0
• Divide 890 by 445: 890 ÷ 445 : Remainder = 0
• Divide 890 by 890: 890 ÷ 890 : Remainder = 0

Hence, Factors of 890 are 1, 2, 5, 10, 89, 178, 445, and 890

#### 2. Steps to find factors of 890 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 890 using the division method, follow these steps:

• Step 1. Start dividing 890 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 890, which is 2. Divide 890 by 2 to obtain the quotient (445).
890 ÷ 2 = 445
• Step 3. Repeat step 1 with the obtained quotient (445).
445 ÷ 5 = 89
89 ÷ 89 = 1

So, the prime factorization of 890 is, 890 = 2 x 5 x 89.

#### Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 890 as shown below:

So, the prime factorization of 890 is, 890 = 2 x 5 x 89.

#### 3. Find factors of 890 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 890 would be the two numbers which, when multiplied, give 890 as the result.

The following table represents the calculation of factors of 890 in pairs:

Factor Pair Pair Factorization
1 and 890 1 x 890 = 890
2 and 445 2 x 445 = 890
5 and 178 5 x 178 = 890
10 and 89 10 x 89 = 890

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 890. They are called negative pair factors.

Hence, the negative pairs of 890 would be ( -1 , -890 ) , ( -2 , -445 ) , ( -5 , -178 ) and ( -10 , -89 ) .

#### 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. 890 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, 89, 178, 445, 890 are exact divisors of 890.
• 1 is a factor of every number. Eg. 1 is a factor of 890.
• Every number is a factor of zero (0), since 890 x 0 = 0.

• What is prime factorization of 890?

Prime factorization of 890 is 2 x 5 x 89.

• How do you find factors of a negative number? ( eg. -890 )?

Factors of -890 are -1, -2, -5, -10, -89, -178, -445, -890.

• What are the prime factors of 890?

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.
Prime factors of 890 are 2, 5, 89.

• What are pair factors of 890?

The pair factors of 890 are (1,890), (2,445), (5,178), (10,89).

• What is the greatest prime factors of 890?

The greatest prime factor of 890 is 89.

• What are six multiples of 890?

First five multiples of 890 are 1780, 2670, 3560, 4450, 5340, 6230.

• What are factors of 890?

Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.

• Which is the smallest prime factor of 890?

Smallest prime factor of 890 is 2.

• Is 890 a whole number?

Yes 890 is a whole number.

#### Examples of Factors

Kevin has been asked to write 7 factor(s) of 890. Can you predict the answer?

7 factor(s) of 890 are 1, 2, 5, 10, 89, 178, 445.

Sammy is puzzled while calculating the prime factors of 890. Can you help him find them?

Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.
Prime factors of 890 are 2, 5, 89

What is prime factorization of 890?

Prime factorization of 890 is 2 x 5 x 89 = 2 x 5 x 89.

Ariel has been assigned the task to find the product of all the prime factors of 890. Can you help her?

Prime factors of 890 are 2, 5, 89.
Hence, the product of prime factors of 890.

Can you help Rubel to find out the product of the even factors of 890?

Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.
Even factors of 890 are 2, 10, 178, 890.
Hence, product of even factors of 890 is; 2 x 10 x 178 x 890 = 3168400.

Joy wants to calculate mean of all the factors of 890. Help him in finding the mean of 890.

Factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890.
To calculate the mean we need to calculate the sum of factors first. Sum of factors of 890 is 1 + 2 + 5 + 10 + 89 + 178 + 445 + 890 = 1620.
Hence, the mean of factors of 890 is 1620 ÷ 8 = 202.50.

Annie's mathematics teacher has asked her to find out all the positive and negative factors of 890? Help her in writing all the factors.

Positive factors are 1, 2, 5, 10, 89, 178, 445, 890.
Negative factors are -1, -2, -5, -10, -89, -178, -445, -890.