**Prime Factors and Pair Factors of 160**

**What are the factors of 160 ?**

When a number divides another number exactly , i.e. it leaves no remainder, then the divisor is called a factor of the dividend. To find the factors of the 160 , find the numbers which divide 160 completely, leaving no remainder.

Since

Thus the factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160. Similarly, the negative factors of 160 are -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -80 and -160.

Factors of 160 = 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160. |

## How to calculate the factors of 160?

**Factors of 160 in pairs **

In this method write 160 as a product of two numbers. The two numbers which get multiplied together to result in 160 are called pair factors of 160.

We have 160=160 x 1

160= 2 x 80

160= 4 x 40

160= 5 x 32

160 = 8 x 20

160=16 x 10

All the factors of are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80 and 160.

Since the product of two negative numbers gives a positive number, the negative factors of 128 would be -1, -2, -4, -5, -8, -10, -16, -20, -32, -40, -80 and -160 .

The following table represents the **positive factor pairs** and **negative factor pairs** of 160.

Positive factor pairs of 160 |
Negative factor pairs of 160 |

160=160 x 1 | 160=(-160) x(- 1) |

160= 2 x 80 | 160= (-2) x(- 80) |

160= 4 x 40 | 160= (-4 )x(- 40) |

160= 5 x 32 | 160= (-5) x (-32) |

160= 8x 20 | 160=(-8) x (-20) |

160=16 x 10 | 160=(-16) x (- 10) |

**Prime factorization of 160 **

A factor of a given number is called a prime factor if this factor is a prime number (it has only two factors) . The process of expressing a given number as a product of prime factors is called a prime factorization or complete factorization of the given number.

**Prime factorization of 160 by using factor tree**

Step 1. Divide 160 beginning with the smallest prime factor of 160, that is 2 .

Step 2. Next find the smallest prime factor of 80 and divide 80 by it.

Step 3. Continue dividing by the smallest prime factor in every step.

Step 4. Stop when you get only prime numbers.

Thus the prime factorisation of 160 is 160= and the prime factors of 160 are 2 and 5 .

**You might also be interested in:**

**Greatest Common Factor of 8 and 12 | Methods to find GCF of 8 and 12****Find factors of a number (Definition, Properties, Formulas and Examples)**