Did you know that 210 is the only number the is divisible by every the numbers from 1 come 7 (except 4) without leaving any remainder? Try that yourself. In fact, girlfriend may find that if you multiply the 3 consecutive number 5, 6, and 7, it will likewise give 210 together the answer!In this lesson, we will certainly calculate the factors of 210, prime determinants of 210, and factors that 210 in pairs together with solved instances for a far better understanding.

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

What space the components of 210?

Factors that 210 will it is in those number that exactly divide it and also give the remainder together 0. For instance, once you multiply any two totality numbers with each other and also get 210 together the answer, you can say that those two numbers will certainly be the determinants of 210. For example, girlfriend can get 210 together 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 ongoing until friend reach 210 × 1 = 210. Thus, in general, we have the right to say that the determinants of 210 space all the integers that 210 can be split into.

How to calculation the factors of 210?

Let"s start calculating the determinants of 210, starting with the smallest totality number i.e. 1. Division 210 with this number. Is the remainder 0? yes! So, we will certainly get:

210 ÷ 1 = 210210 × 1 = 210

The next whole number is 2. Now division 210 v this number.

210 ÷ 2 = 1052 × 105 = 210

Proceeding in a comparable manner us get,

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

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Factors that 210 by element Factorization

Prime factorization way to refer a composite number as the product of its prime factors. To obtain the prime factorization the 210, we will certainly divide it by its smallest prime variable which is 2.

210 ÷ 2 = 105

Now, 105 is split by its smallest prime factor and the quotient is obtained. This process goes top top till we get the quotient together 1. The element factorization that 210 is shown below.

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Now that we have actually done the prime factorization of ours number, we have the right to multiply the numbers and also get the other components of 210. Can you shot and find out if every the determinants are extended or not? And as you might have already guessed, for prime numbers, there space no other factors.

Factors the 210 in Pairs

The bag of numbers which give 210 once multiplied are recognized as the factor pairs that 210. The complying with are the factors of 210 in pairs:

Product form 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 above, after ~ 14 × 15, the components start repeating, other than that they room in a different order. Thus, it is sufficient to find determinants till (14,15).

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If we consider an adverse integers, climate both the number in the pair components have to it is in negative. We know that - ve (×) - ve = +ve.Thus, we have the right to have variable pairs that 210 together (-1,-210); (-2,-105); (-3,-70). And also so on.

Important Notes:

Factors the 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and also 210.1 is a universal factor.The two numbers that space multiplied come give a product space the factors of the product.As 210 ends with digit 0, the will have 5 and 10 as its factors. This stop true for any number that ends v digit 0.210 is a non-perfect square number. Thus, the will have an even variety of factors. This residential property holds true for every non-perfect square number.

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Think Tank:

Are 0.1 and 2100 determinants of 210? Why carry out you think so?

 

Example 2: Peter and Andrew have rectangular carpets in their corresponding rooms with dimensions as presented below:a) 15 customs x 14 inchesb) 21 inch x 10 inches

They ar the two carpets one over another. Due to the fact that the two of them perform not overlap, Peter said that lock don"t have actually the same area. However, Andrew does not agree with him. Can you discover out who is correct?

Solution:

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