# Factors of 90

To find the introduction factors of 90, we need to identify the pairs of numbers that, when multiplied together, result in 90. These pairs are known as factors of 90. Let’s list them:

1 × 90 = 90
2 × 45 = 90
3 × 30 = 90
5 × 18 = 90
6 × 15 = 90
9 × 10 = 90

So, the introduction factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. These numbers can be multiplied in different combinations to give the product 90.

## How many Factors of 90

To find the total number of factors of 90, we can count all the unique pairs of numbers that multiply together to give 90, including both the pairs where the two numbers are the same (such as 1 × 90) and the pairs where the two numbers are different (such as 2 × 45).

The prime factorization of 90 is 2 × 3² × 5.

To find the total number of factors, we can use the formula:

(Number of factors) = (Exponent of prime factor 1 + 1) × (Exponent of prime factor 2 + 1) × … × (Exponent of prime factor n + 1)

For 90, the exponents are 1, 2, and 1 for the prime factors 2, 3, and 5, respectively.

Therefore, the total number of factors of 90 is:

(1 + 1) × (2 + 1) × (1 + 1) = 2 × 3 × 2 = 12

So, there are 12 factors of 90.

#### Factor Pairs of 90

Factor pairs are pairs of numbers that, when multiplied together, yield a given number. For 90, the factor pairs are:

1 × 90 = 90
2 × 45 = 90
3 × 30 = 90
5 × 18 = 90
6 × 15 = 90
9 × 10 = 90

Therefore, the factor pairs of 90 are (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10).

#### All Factors of 90 using Multiplication

To find all the factors of 90 using multiplication, we can start by listing the factor pairs:

1 × 90 = 90
2 × 45 = 90
3 × 30 = 90
5 × 18 = 90
6 × 15 = 90
9 × 10 = 90

These factor pairs give us the following factors:

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Therefore, the factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

#### vikashkumarpanvari

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