If a cube has actually 7 units as its dimension of that is sides, then its volume of the cube is size × width × height = 7 × 7 × 7 = 343. Thus, we observe the 7 is a cube root of 343. In this lesson, we will certainly calculate the factors of 343, prime components of 343, and also factors of 343 in pairs together with solved instances for a far better understanding.

You are watching: What are the factors of 343

**Factors of 343:**1, 7, 49 and 343.

**Prime administer of 343:**7 × 7 × 7

1. | What space the determinants of 343? |

2. | How to Calculate determinants of 343? |

3. | Factors the 343 by element Factorization |

4. | FAQs on determinants of 343 |

## What space the determinants of 343?

All the numbers that divide 343 fully leaving no remainder are the factors of 343. Factors of 343 room 1, 7, 49 and also 343.

Let"s learn exactly how to calculate factors of 343.

1 is the factor of every number and the number chin is that is factor. For this reason we identify them as determinants of 343.Find the number that totally divides 343. Together 343 is no even, it is not divisible by any kind of even number. Try the divisibility tests v 3, 5 and also 10. It is not divisible by them.Check the divisibility v 7. 343 ÷ 7 = 49.We can stop here as 49 could be the only another factor. 343 ÷ 49 = 7Thus we identify the components of 343 as 1× 343 and also 7 × 49.This can be confirmed using the aspect tree together well. The variable tree reflects that 343 = 7 × 7 × 7. On getting the element factors, we deserve to determine every the feasible composite factors of 343.**Explore factors using illustrations and interactive examples**

## Factors that 343 by element Factorization

Factors of 343 by** **prime factorization** **are provided by utilizing the following steps. We can find the prime factors using the division method.

Find the the smallest prime number by which 343 deserve to be divided without leaving any kind of remainder.We check out that 343 is divisible through 7.We have the right to express 343 as 49 × 7.Again 49 can additional be factorized together 7 × 7Therefore,

**prime administer of 35 is 7**

**× 7 × 7 = 7 3**Add 1 to the exponent therefore obtained. Right here the exponent is 3 and we conclude that there are 4 components of 343 in all.

The pair of numbers w multipled together gets the number 343 give the factors of 343 in pairs. 1 × 343, 7 × 49, 49 × 7 and 343 × 1 give the components of 343 in pairs. The pair components of 343 are:

(1, 343)(7, 49)(49, 7)(343, 1)343 = 7

**× 7 × 7 = 73. 343 is a perfect cube.7 is the prime factor of 343.1, 7, 49 and 343 are the unique prime determinants of 343.**

Find the 2 numbers the lie in between 300 & 400 who greatest typical divisor is 49.Find the smallest integer n such the 49n becomes a cube number.

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**Example 1: **She made 343 cookies i beg your pardon she has to distribute same in tiny glass jars. If every jar have the right to hold save 7 cookies each, how many jars space needed?

**Solution: **

7 cookies × _____ jars = 343 cookies7 × _____ = 343To find the lacking factor, we must perform 343 ÷ 7As, 343 ÷ 7 = 49Therefore, she requirements 49 jars

**Example 2: **Jack is structure a big cube v his tiny blocks. Jack lays 7 great of 7 blocks because that the base. How plenty of such layers has he gained to raise up if he has to finish the cube?

**Solution: **The variety of blocks in the base developed by Jack is 7 × 7 block = 49 blocks

49 × ____ = 343. Finding the lacking factor, 343 ÷ 49 = 7.He raises the base with 7 such layers.Thus, he builds up 7 great of 7 × 7 blocks.