Factors are discussed here with examples.

*Each of the numbers multiplied together to form a product is called a factor of the product.*

**For Example:**

(i) 2 and 3 are the factors of 6 as 2 × 3 = 6.

Also, 1 × 6 = 6

Since 1 and 6 are also factors of 6.

Thus, 1, 2, 3 and 6 are factors of 6 as each of these numbers (1, 2, 3 and 6) divides number 6 exactly.

(ii) 3 and 5 are the factors of 15 as 3 × 5 = 15.

Also, 1 × 15 = 15

Since 1 and 15 are also factors of 15.

Thus, 1, 3, 5 and 15 are factors of 15 as each of these numbers (1, 3, 5 and 15) divides number 15 exactly.

(iii) 3 and 7 are the factors of 21 as 3 × 7 = 21.

Also, 1 × 21 = 21

Since 1 and 21 are also factors of 21.

Thus, 1, 3, 7 and 21 are factors of 21 as each of these numbers (1, 3, 7 and 21) divides number 21 exactly.

(iv) 5 and 7 are the factors of 35 as 5 × 7 = 35.

Also, 5 × 7 = 35

Since 1 and 35 are also factors of 35.

Thus, 1, 5, 7 and 35 are factors of 35 as each of these numbers (1, 5, 7 and 35) divides number 35 exactly.

In other words, *a factor of a given number divides the given number exactly*.

**In every number there are a fixed number of factors.**

Let us consider the following example on factors.

**Factors of 6** (Six) are **1, 2, 3 and 6.**

**Factors of 7** (Seven) are **1 and 7.**

**Factors of 8** (Eight) are **1, 2, 4 and 8.**

**Factors of 9** (Nine) are **1, 3 and 9.**

**Factors of 10** (Ten) are **1, 2, 5 and 10.**

**Factors of 11** (Eleven) are **1 and 11.**

**Factors of 12** (Twelve) are **1, 2, 3, 4, 6 and 12.**

**Factors of 13** (Thirteen) are **1 and 13.**

**Factors of 14** (Fourteen) are **1, 2, 7 and 14.**

**Factors of 15** (Fifteen) are **1, 3, 5 and 15.**

**Factors of 16** (Sixteen) are **1, 2, 4, 8 and 16.**

**Factors of 17** (Seventeen) are **1 and 17.**

**Factors of 18** (Eighteen) are **1, 2, 3, 6, 9, and 18.**

**Factors of 19** (Nineteen) are **1 and 19.**

**Factors of 20** (Twenty) are **1, 2, 4, 5, 10 and 20.**

**Factors of 24** (Twenty four) are **1, 2, 3, 4, 6, 8, 12, and 24.**

**Factors of 27** (Twenty seven) are **1, 3, 9 and 27.**

**Factors of 30** (Thirty) are **1, 2, 3, 5, 6, 10, 15, and 30.**

**Factors of 36** (Thirty six) are **1, 2, 3, 4, 6, 9, 12, 18, and 36.**

**Factors of 43** (Forty three) are **1 and 43.**

**Factors of 48** (Forty eight) are **1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.**

**Factors of 53** (Fifty three) are **1 and 53.**

**Factors of 56** (Fifty six) are **1, 2, 4, 7, 8, 14, 28 and 56.**

**Factors of 60** (Sixty) are **1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.**

**Factors of 70** (Seventy) are **1, 2, 5, 7, 10, 14, 35, and 70.**

**Factors of 90** (Ninety) are **1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45 and 90.**

**Factors of 112** (One hundred twelve) are **1, 2, 4, 7, 8, 14, 16, 28, 56 and 112.**

**● Factors.**

**● Highest Common Factor (H.C.F).**

**● Examples on Highest Common Factor (H.C.F).**

**● Greatest Common Factor (G.C.F).**

**● Examples of Greatest Common Factor (G.C.F).**

**● To find Highest Common Factor by using Prime Factorization Method.**

**● Examples to find Highest Common Factor by using Prime Factorization Method.**

**● To find Highest Common Factor by using Division Method.**

**● Examples to find Highest Common Factor of two numbers by using Division Method.**

**● To find the Highest Common Factor of three numbers by using Division Method.**

**5th Grade Numbers Page****5th Grade Math Problems**** ****From Factors to HOME PAGE**

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