Factors of 68 are the numbers which as soon as multiplied in pairs offer the product as 68. These determinants can be an adverse as well. The number 68 can be expressed together a amount of two prime number in two different ways. In this lesson, we will calculate the factors of 68, prime determinants of 68, and also factors that 68 in pairs together with solved examples for a far better understanding.

You are watching: Find the prime factorization of 68

**Factors the 68:**1, 2, 4, 17, 34, and also 68

**Prime administrate of 68:**68 = 22 × 17

1. | What space the components of 68? |

2. | How come Calculate determinants of 68? |

3. | Important Notes |

4. | Factors of 68 by prime Factorization |

5. | Factors that 68 in Pairs |

6. | FAQs on factors of 68 |

7. | Challenging Questions |

## What room the factors of 68?

Before we study about factors of 68, let"s have actually a quick recall about "Factor". The number of factors is based upon the form of number. A element number is a number that consists of just two factors. A composite number is a number that has much more than two factors. Coming earlier to number 68. **Factors of 68 are 1, 2, 4, 17, 34, and 68**. Therefore, 68 is a composite number.

To calculation the determinants of 68, start with the smallest entirety number 1. Division 68 with the number 1. Is the remainder zero? correct! By aspect definition, the number is divided equally there is no leaving a remainder.

68 ÷ 1 = 6868 × 1 = 68We try with the next entirety number 2. Is the remainder zero? Yes!

68 ÷ 2 = 3434 × 2 = 68Proceeding in a similar manner we get,

68 ÷ 4 = 174 × 17 = 68Thus, we calculated the factors of 68

**Important Notes:**

**Explore components using illustrations and also interactive examples**

Prime administrate is a procedure of breaking under the composite number right into its element factors. To obtain the element factorization the 68, we division it through its the smallest prime factor, i beg your pardon is 268 ÷ 2 = 34. Now 34 is separated by its smallest prime number 2.

34 ÷ 2 = 17The procedure of element factorization proceeds till we obtain the quotient together 1. Therefore, factors of 68 by element factorization are:

It can additionally be written as 68 = 2 × 2 × 17

Now that we have actually done the prime factorization of our number, we deserve to multiply them and get the other factors. Have the right to you shot and uncover out if every the determinants are spanned or not? and also as you can have already guessed, because that prime numbers, there are no various other factors.

## Factors that 68 in Pairs

The pair of number which provides 68 when multiplied is called pair factors of 68. Factors of 68 in pairs are **(1,68), (2,34)**,** and (4,17)**Factors the 68 have the right to have an unfavorable pair factors as well. We understand (-) × (-) = +. Hence the negative pair factors of 68 are **(-1,-68), (-2,-34)**,** and also (-4,-17).**

**Challenging Questions:**

**Example 1: **What will certainly be the amount of all the factors of 68?

**Solution:**

We recognize that the components of 68 = ** **1, 2, 4, 17, 34, and 68Thus,The sum of the factors = 1 + 2 + 4 + 17 + 34 + 68 = 123Hence, the amount of all components of 68 is 123

**Example 2:** help Andrea list out the factor pairs the 68.

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**Solution:**

The determinants of 68 in bag are (1,68), (2,34), and (4,17)

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