Did you know that 210 is the only number that is divisible by all the numbers from 1 to 7 (except 4) without leaving any remainder? Try it yourself. In reality, you may find that if you multiply the three consecutive numbers 5, 6, and 7, it will certainly also give 210 as the answer!In this lesson, we will calculate the components of 210, prime factors of 210, and also factors of 210 in pairs together with resolved examples for a better understanding.

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Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105 and 210Prime Factorization of 210: 210 = 2 × 3 × 5 × 7 
1.What Are the Factors of 210?
2.How to Calculate the Factors of 210?
3.Factors of 210 by Prime Factorization
4.Factors of 210 in Pairs
5.Important Notes
6.FAQs on Factors of 210

What Are the Factors of 210?

Factors of 210 will certainly be those numbers that precisely divide it and give the remainder as 0. For circumstances, as soon as you multiply any kind of two whole numbers through each various other and also acquire 210 as the answer, you deserve to say that those two numbers will be the factors of 210. For example, you have the right to gain 210 as the result for: 

1 × 210 = 210 2 × 105 = 2103 × 70 = 210 5 × 42 = 2106 × 35 = 210 7 × 30 = 210 10 × 21 = 210 14 × 15 = 210

This deserve to be continued till you reach 210 × 1 = 210. Hence, in general, we have the right to say that the factors of 210 are all the integers that 210 can be divided into.

How to Calculate the Factors of 210?

Let"s begin calculating the factors of 210, starting through the smallest totality number i.e. 1. Divide 210 through this number. Is the remainder 0? Yes! So, we will get:

210 ÷ 1 = 210210 × 1 = 210

The next totality number is 2. Now divide 210 via this number.

210 ÷ 2 = 1052 × 105 = 210

Proceeding in a comparable manner we get,

1 × 210 = 2102 ×105 = 2103 × 70 = 2105 × 42 = 210

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Factors of 210 by Prime Factorization

Prime factorization indicates to expush a compowebsite number as the product of its prime determinants. To gain the prime factorization of 210, we will divide it by its smallest prime factor which is 2.

210 ÷ 2 = 105

Now, 105 is split by its smallest prime element and also the quotient is derived. This procedure goes on till we get the quotient as 1. The prime factorization of 210 is shown listed below.

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Now that we have done the prime factorization of our number, we deserve to multiply the numbers and obtain the other components of 210. Can you try and uncover out if all the components are spanned or not? And as you could have actually already guessed, for prime numbers, tbelow are no various other components.

Factors of 210 in Pairs

The pairs of numbers which give 210 as soon as multiplied are recognized as the element pairs of 210. The adhering to are the factors of 210 in pairs:

Product develop of 210Pair factor
1 × 210 = 210 × 1 = 210(1,210)
2 × 105 = 105 × 2 = 210(2,105)
3 × 70 = 70 × 3 = 210(3,70)
5 × 42 = 42 × 5 = 210(5,42)
6 × 35 = 35 × 6 = 210(6,35)
7 × 30 = 30 × 7 = 210(7,30)
10 × 21 = 21 × 10 = 210(10,21)
14 × 15 = 15 × 14 = 210(14,15)

Observe in the table over, after 14 × 15, the components begin repeating, except that they are in a various order. Hence, it is sufficient to uncover determinants till (14,15).

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If we think about negative integers, then both the numbers in the pair determinants have to be negative. We recognize that - ve (×) - ve = +ve.Hence, we can have aspect pairs of 210 as (-1,-210); (-2,-105); (-3,-70). and so on.

Important Notes:

Factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.1 is a global element.The two numbers that are multiplied to give a product are the components of the product.As 210 ends with digit 0, it will certainly have 5 and also 10 as its factors. This holds true for any type of number that ends via digit 0.210 is a non-perfect square number. Therefore, it will have an also variety of components. This home holds true for every non-perfect square number.

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Think Tank:

Are 0.1 and also 2100 factors of 210? Why do you think so?

 

Example 2: Peter and Anattracted have actually rectangular carpets in their respective rooms with dimensions as shown below:a) 15 inches x 14 inchesb) 21 inches x 10 inches

They place the two carpets one over an additional. Since the two of them execute not overlap, Peter said that they do not have actually the very same area. However before, Andrew does not agree with him. Can you discover out who is correct?

Solution:

Area of a rectangle = length × breadthFor the first carpet, Area = 14 × 15 = 210 in2.For the second carpet, Area = 10 × 21 = 210 in2.Thus, they have actually equal areas.