# How does the factor game work?

## How does the factor game work?

The Factor Game is a two-person game in which players find factors of numbers on a game board. Each person then adds up the numbers they’ve colored, and the winner is the person with the largest total.

## How many factors does a composite factor have?

two factors
Composite numbers have more than two factors, and every composite number can be written as a unique product of primes. This is called the prime factorization of a number.

What is the factor game on a 100 board?

The factor game allows numbers 1 – 100 to be used ONCE by a team (or player) in coming up with factors of the number chosen by the other team (or player). In this case, we are talking about a brand new round of the game, so all 100 numbers are available.

### What does it mean when a number has factors?

A factor is a number that divides into another number exactly and without leaving a remainder. Most numbers have an even number of factors; however, a square number has an odd number of factors. A prime number has only two factors – the number itself and 1.

### What are the factor of 69?

Factors of 69

• Factors of 69: 1, 3, 23 and 69.
• Prime Factorization of 69: 69 = 3 × 23.

What are factors of 36?

Factors of 36

• Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36.
• Negative Factors of 36: -1, -2, -3, -4, -6, -9, -12, -18 and -36.
• Prime Factors of 36: 2, 3.
• Prime Factorization of 36: 2 × 2 × 3 × 3 = 22 × 32
• Sum of Factors of 36: 91.

#### What number only has 2 factors?

prime number
A prime number is a number with exactly two factors. A prime number is only divisible by 1 and itself. Another way to think of prime numbers is that they are only ever found as answers in their own times tables.

#### Is 14 prime or composite?

Is 14 a Composite Number? Yes, since 14 has more than two factors i.e. 1, 2, 7, 14. In other words, 14 is a composite number because 14 has more than 2 factors.

What does a factor of 3 mean?

This is described as showing a “fall by a factor of 3”. This phrase doesn’t ring true. If a factor of 3 is a 1/3, then a fall by a third would be down to 2000. So the phrase is meant to represent a fall to a third.

## What is the set factors of 12?

The factors of 12 are 1, 2, 3, 4, 6, and 12, because each of those divides 12 without leaving a remainder (or, alternatively, each of those is a counting number that can be multiplied by another counting number to make 12).

## What is a square root of 69?

The square root of 69 is √69 = 8.3066238629.

What is the HCF of 75 and 69?

The GCF of 75 and 69 is 3.