In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

To compare two quantities, their units must be the same. • Two ratios can be compared by converting them into like fractions. If the two fractions are equal, we say that the two given ratios are equivalent.

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

A Term is either a single number or a variable, or numbers and variables multiplied together. So, now we can say things like “that expression has only two terms”, or “the second term is a constant”, or even “are you sure the coefficient is really 4?”

Factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The prime factors of a number or an algebraic expression are those factors which are prime.

Factors are what numbers can be multiplied together to so that they make another number (e.g., 1, 2, 3, and 6 are factors of 6). Multiples are what you get after multiplying a number by an integer (e.g., 20 is a multiple of 4).

The list of multiples of 18 are: …. Sometimes multiples are misunderstood as factors also, which is not correct. Factors of 18 consist of only those numbers which are multiplied together to get the original number.

Answer. Answer: The numbers are 7 and 21.

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).

Table of Factors and Multiples

The multiples of 12 are : 12, 24, 36, 48, 60, 72, 84.. The multiples of 15 are : 15, 30, 45, 60, 75, 90.. 60 is a common multiple (a multiple of both 12 and 15), and there are no lower common multiples. Therefore, the lowest common multiple of 12 and 15 is 60.

Factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24. Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, common factor of 24 and 36 = 1, 2, 3, 4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 = 12.

Answer: HCF of 12 and 16 is 4.

We see that the highest common factor of 16 and 24 is 8. In short, the Highest Common Factor is expressed as H.C.F. Finding H.C.F. There are three methods of finding H.C.F. of two or more numbers.

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