Factors of 30 are those numbers that, when multiplied together, give the result of 30. We can also say that a factor is a number that divides a number ultimately, leaving zero as a remainder. We will use the multiplication method to find the factors of 30.

## Contents

**Factors Calculator **

Factors of 30 | 1, 2, 3, 5, 6, 10, 15 and 30 |

Negative Factors of 30 | -1, -2, -3, -5, -6, -10, -15 and -30 |

Prime Factors of 30 | 2, 3, 5 |

Prime Factorization of 30 | 2 × 3 × 5 |

Factors of 30 in Pairs | ( 1, 30), (2,15), (3,10), (5,6) |

**What are the factors of 30?**

The method of calculating the factors of 30 is as follows. First, each number can be divided by one and by itself.

Consequently, 1 and 30 are the factors of 30.

By dividing a number by 1, 2, 3, 4… we can discover all its factors.

(i) 30 ÷ 1 = 30

This division gives the remainder 0 and so is divisible by 1. So please put them 1 and 30 in your factor list.

1 | ….. | 30 |

(ii) 30 ÷ 2 = 15

This division gives the remainder 0 and so is divisible by 15. So please put them 2 and 15 in your factor list.

1 | 2 | …. | 15 | 30 |

(iii) 30 ÷ 3 = 10

This division gives the remainder 0 and so is divisible by 3. So please put them 3 and 10 in your factor list.

1 | 2 | 3 | …. | 10 | 15 | 30 |

(iv) 30 ÷ 4 = 7.5

This division gives the remainder 7.5, not being thoroughly divided. So we will not write 4 and 7.5 on the list.

(v) 30 ÷ 5 = 6

This division gives the remainder 0 and so is divisible by 5. So please put them 5 and 6 in your factor list.

1 | 2 | 3 | 5 | …. | 6 | 10 | 15 | 30 |

(vi) Since we don’t have any more numbers to calculate, we are putting the numbers so far.

So 1, 2, 3, 5, 6, 10, 15 and 30 are factors of 30.

What are the factors of 30?

Answer: 1, 5, 7, 30

**Factors of (- 30)**

As – 5 and – 6 are negative factors because you get a positive number by multiplying two negatives, like (- 5) × (- 6) = 30.

Therefore, -1, -2, -3, -5, -6, -10, -15 and -30 are Nagetive factors of 30.

**All factors of 30**

Here is a list of all the positive and negative factors of 30 in numerical order.

1, 2, 3, 5, 6, 10, 15, 30, -1, -2, -3, -5, -6, -10, -15, -30

Therefore, 1, 2, 3, 5, 6, 10, 15, 30, -1, -2, -3, -5, -6, -10, -15 and -30 are All factors of 30.

**Factor pairs of 30**

1 x 30 = 30

2 x 15 = 30

3 x 10 = 30

5 x 6 = 30

So, ( 1, 30), (2,15), (3,10) and (5,6) are factor pairs of 30

**Prime Factors of 30**

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Therefore, 2 × 3 × 5 are the Prime factorization of 30.

**Factor tree of 30**

```
30
/ \
2 15
/ \
3 5
```

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