**1 is a common factor of all numbers** and every number is a factor of itself. When we find the factors of two or more numbers we notice that some factors are common, this is because a number can be exactly divided by many divisors if the number is a multiple of that divisor.

**1 is a common factor of all numbers** and every number is a factor of itself. When we find the factors of two or more numbers we notice that some factors are common, this is because a number can be exactly divided by many divisors if the number is a multiple of that divisor.

**The factors common to two or more numbers** are known as common factors, in the example given above, 12 is the highest common factor of 24 and 36. 1. Find the common factor of 6 and 8. Factor of 6 = 1, 2, 3 and 6.

**The whole numbers from 1 upwards**. ( Or from 0 upwards in some fields of mathematics). Read More -> The set is {1,2,3,} or {0,1,2,3,} Integers.

7! Almost half of all people chose numbers **between 1 and 10**. The second-place number was 3, followed by 8, 4, 5, 13, 9, 6, 2, and 11, to round out the top ten choices. Interestingly, every number between 1 and 100 was chosen by someone: the number 39 has fans, as does 53, 62 or any of the others.

As you might expect, the **single-digit numbers** are all among the most common. 10, 000, 20, 12, 2005, 15 and 11 are all more common than the least common single-digit number.

35

It suggests that we remember best in sevens **because that is how our brains prefer to store data**. People certainly voted for seven in our favourite number survey. Perhaps the reason they did this is to do with Miller's brain function.

Zero (0) is used as a number and also as the numerical digit. Zero gives the additive identity of the integers, real numbers, and many algebraic structures.

What are the Factors of 8? A number or an integer that divides 8 exactly without leaving a remainder, then the number is a factor of 8. As the number 8 is an even composite number, it has more than two factors. Thus, the factors of 8 are **1, 2, 4 and 8**.

4

A factor of a number is an exact divisor of the given number. **Every factor of a number is less than or equal to the given number**, i.e. it cannot be greater than the given number. Every number has at least two factors, some numbers have more than two factors.

6

**First we find the least common multiple (L.C.M.) of 28, 36 and 45.**

- Therefore, least common multiple (L.C.M.) of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260.
- Therefore, the required number = 1260 - 19 = 1241.
- Highest common factor (H.C.F.) of 90 and 162 = 18.
- Relationship between H.C.F. and L.C.M.

Difference between HCF and LCM

HCF | LCM |
---|---|

HCF is the largest of all the common factors of the given numbers. | LCM is the smallest of all the common multiples of the given numbers. |

HCF of given numbers cannot be greater than any of them. | LCM of given numbers cannot be smaller than any of them. |

**The simplest way of factorising is:**

- Find the highest common factor of each of the terms in the expression.
- Write the highest common factor (HCF) in front of any brackets.
- Fill in each term in the brackets by multiplying out.

Learn how to **factor a common factor out of a polynomial expression**. For example, factor 6x²+10x as 2x(3x+5).**Factoring out the greatest common factor (GCF)**

- Find the GCF of all the terms in the polynomial.
- Express each term as a product of the GCF and another factor.
- Use the distributive property to factor out the GCF.

**How to Reduce Fractions**

- Write down the factors for the numerator and the denominator.
- Determine the largest factor that is common between the two.
- Divide the numerator and denominator by the greatest common factor.
- Write down the reduced fraction.

**Here are the steps to follow:**

- Write down the factors for the numerator and the denominator.
- Determine the largest factor that is common between the two.
- Divide the numerator and denominator by the greatest common factor.
- Write down the reduced fraction.

**The H.C.F.** **defines the greatest factor present in between given two or more numbers, whereas L.C.M.** **defines the least number which is exactly divisible by two or more numbers**. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.

**Press the divide button, enter the greatest common factor and press the equals button**. Write this number down. In this example, you work out 84 ÷ 12 = 7. Express your ratio using the number in Step 3 and the number in Step 5.

Dated : 15-Jun-2022

Category : Education