Did friend know, the number 150 is obtained by the product of three prime numbers and also these are 2, 3, and 5?** **In this lesson, us will discover to calculate the factors of 150, the prime factors of 150, and the factors of 150 in pairs along with solved examples for a far better understanding.

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**Factors of 150:**1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150

**Prime administer of 150:**2 × 3 × 52

1. | What room the components of 150? |

2. | How to calculate the factors of 150? |

3. | Factors the 150 by prime Factorization |

4. | Factors that 150 in Pairs |

5. | Important Notes |

6. | FAQs on determinants of 150 |

## What room the determinants of 150?

The factors of 150 are the numbers that on dividing 150 leave no remainder. Since 150 is a composite number, it will have more than 2 factors.**The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, and 150.**

**How to calculation the components of 150?**

**Let us calculate the components of 150.**

**When considering number that can divide 150 without remainders, we begin with 1, then check 2, 3, 4, 5, 6, 7, 8, 9, etc. Approximately 75 (which is exactly fifty percent of 150).**

**Division**

Remainder

150/1 | gives remainder 0 hence, 1 is a factor |

150/2 | gives remainder 0 hence, 2 is a factor |

150/3 | gives remainder 0 hence, 3 is a factor |

150/5 | gives remainder 0 hence, 5 is a factor |

150/6 | gives remainder 0 hence, 6 is a factor |

150/10 | gives remainder 0 hence, 10 is a factor |

150/15 | gives remainder 0 hence, 15 is a factor |

150/25 | gives remainder 0 hence, 25 is a factor |

150/30 | gives remainder 0 hence, 30 is a factor |

150/50 | gives remainder 0 hence, 50 is a factor |

150/75 | gives remainder 0 hence, 75 is a factor |

150/150 | gives remainder 0 hence, 150 is a factor |

**Hence, the factors that 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and also 150.**

**Explore factors using illustrations and also interactive examples.**

## Factors the 150 by element Factorization

Prime administrate of a number describes representing a number in the type of the product of its element factors.Prime determinants of any type of number have the right to be uncovered using the following methods.

### Method 1: department method

Now let us discover the prime determinants of 150 by department method.Divide the number 150 with the smallest prime number, i.e. 2.

150/2 = 75

Again, divide 75 by 2.

75/2 = 37.5

This can not be a factor, so moving to the next prime number.

75/3 = 25

Again, divide 25 by 3.

25/3 = 8.333

Now, if we divide 25 by 3 we obtain a portion number, which cannot be a factor.Now, continue to the next prime numbers, i.e. 5.

25/5 = 5

Again, divide 5 by 5.

5/5 = 1

We get 1 at the end and we cannot more proceed with the division method.

So, the element factorization that 150 is 2 x 3 x 5 x 5 = 2 x 3 × 52 where 2, 3, and 5 are the prime numbers.

### Method 2: aspect tree

The prime components of 150 are: 150 = 2 x 3 x 52

Further, discover the products of the multiplicands in various orders to obtain the composite determinants of the number.Thus, the determinants can be written consisting of both prime and also composite number as 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and also 150

Now the we have actually done the prime factorization of ours number, we deserve to multiply them and also get the other factors.Can you try and find out if all the determinants are spanned or not? And as you could have currently guessed, for prime numbers, there space no other factors.

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## Factors that 150 in Pairs

Factor PairProduct of Factors

1 and 150 | 1 x 150 = 150 |

2 and 75 | 2 x 75 = 150 |

3 and 50 | 3 x 50 = 150 |

5 and also 30 | 5 x 30 = 150 |

6 and 25 | 6 x 25 = 150 |

10 and 15 | 10 x 15 = 150 |

The product the two an unfavorable numbers is a hopeful number. The pair factors having an unfavorable factors are called negative pair factors.

The an adverse pair determinants of 150 are, (-1, -150), (-2, -75), (-3, -50), (-5, -30), (-6, -25), (-10, -15).

**Important Notes:**