Factors of 990

2. Steps to find factors of 990 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 990 using the division method, follow these steps:

• Step 1. Start dividing 990 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 990, which is 2. Divide 990 by 2 to obtain the quotient (495).
  990 ÷ 2 = 495
• Step 3. Repeat step 1 with the obtained quotient (495).
  495 ÷ 3 = 165
  165 ÷ 3 = 55
  55 ÷ 5 = 11
  11 ÷ 11 = 1

So, the prime factorization of 990 is, 990 = 2 x 3 x 3 x 5 x 11.

Method 2: Factor Tree Method

We can follow the same procedure using the factor tree of 990 as shown below:

So, the prime factorization of 990 is, 990 = 2 x 3 x 3 x 5 x 11.

3. Find factors of 990 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 990 would be the two numbers which, when multiplied, give 990 as the result.

The following table represents the calculation of factors of 990 in pairs:

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 990. They are called negative pair factors.

Hence, the negative pairs of 990 would be ( -1 , -990 ) , ( -2 , -495 ) , ( -3 , -330 ) , ( -5 , -198 ) , ( -6 , -165 ) , ( -9 , -110 ) , ( -10 , -99 ) , ( -11 , -90 ) , ( -15 , -66 ) , ( -18 , -55 ) , ( -22 , -45 ) and ( -30 , -33 ) .

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. 990 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, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990 are exact divisors of 990.
• 1 is a factor of every number. Eg. 1 is a factor of 990.
• Every number is a factor of zero (0), since 990 x 0 = 0.

Frequently Asked Questions

• Which is the smallest prime factor of 990?

  Smallest prime factor of 990 is 2.

• Is 990 a perfect square?

  No 990 is not a perfect square.

• What are five multiples of 990?

  First five multiples of 990 are 1980, 2970, 3960, 4950, 5940.

• What is prime factorization of 990?

  Prime factorization of 990 is 2 x 3 x 3 x 5 x 11.

• What are factors of 990?

  Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990.

• How do you find factors of a negative number? ( eg. -990 )?

  Factors of -990 are -1, -2, -3, -5, -6, -9, -10, -11, -15, -18, -22, -30, -33, -45, -55, -66, -90, -99, -110, -165, -198, -330, -495, -990.

• Is 990 a whole number?

  Yes 990 is a whole number.

• Which is greatest factor of 990?

  The greatest factor of 990 is 495.

• What are the prime factors of 990?

  The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990.
  Prime factors of 990 are 2, 3, 3, 5, 11.

Examples of Factors