Factors that 270 are the number which once multiplied in pairs give the product together 270. These determinants can be negative as well. The number 270 is also is an even composite number, which method that it has several factors. In this lesson, we will calculate the factors of 270, prime determinants of 270, and components of 270 in pairs along with solved examples for a far better understanding.

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Factors the 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270.Prime Factorization of 270: 270 = 2 × 3 × 3 × 3 × 5

1.What are the determinants of 270?
2.How to calculate the components of 270?
3.Important Notes
4.Factors that 270 by element Factorization
5.Factors of 270 in Pairs
6.FAQs on factors of 270

What room the factors of 270?

The integers that divide 270 without leaving a remainder space its factors. The components of 270 are the number that provide the product together 270 when they room multiplied. We element those numbers repetitively to get all the factors of 270. The components of 270 room 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, and 270.


How to calculate the factors of 270?

The components of the number 270 deserve to be calculated as follows:

Write the smallest factor of 270 (except 1). The smallest factor of 270 is 2, 270 ÷ 2 = 135. Thus, 2 and 135 are the factors of 27Write the following smallest factor of 3, 270 ÷ 3 = 90. Thus, 3 and 90 room the factors of 270.Now continue until you with 135 (half of 270). Thus, we deserve to verify that there room 16 integers that are components of 270.Divisibility TestDivision EquationFactors
270 is divisible by 1270 ÷ 1 = 2701 and 270
270 is divisible by 2270 ÷ 2 = 1352 and 135
270 is divisible by 3270 ÷ 3 = 903 and 90
270 is divisible by 5270 ÷ 5 = 545 and also 54
270 is divisible through 6270 ÷ 6 = 456 and also 45
270 is divisible through 9270 ÷ 9 = 309 and 30
270 is divisible by 10270 ÷ 10 = 2710 and also 27
270 is divisible by 15270 ÷ 15 = 1815 and 18

Important Notes

To find the factors of 270, we should divide it by the smallest prime number 2. We should continue until we gain the quotient as 1. We can apply the divisibility rule here.270 is the highest possible factor and 1 is the smallest aspect of 270.The sum of every the factors of 270 is 720.

Factors of 270 in Pairs

The pair of components that provide 270 once they room multiplied are well-known as the factor pairs. There space 8 pairs that factors.

Factorization that 270Factor Pairs
1 × 270 = 270(1,270)
2 × 135 = 270(2,135)
3 × 90 = 270(3,90)
5 × 54 = 270(5,54)
6 × 45 = 270(6,45)
9 × 30 = 270(9,30)
10 × 27 = 270(10,27)
15 × 18 = 270(15,18)

Continue division using the element numbers so the they will divide the staying composite determinants exactly, till there room no composite components left.We understand that 270 is divisible through 2. Let"s split 270 into that 2 factors, the is, 270 = 135 × 2. Now, 135 is damaged further right into its factors. 135 is broken as 27 × 5 and 27 is damaged as 9 × 3, and also 9 can be further break-up as 3 × 3. Since we have all element numbers, we have the right to stop here.Therefore, 270 = 2 × 3 × 3 × 3 × 5

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

Explore components using illustrations and also interactive examples


Example 1: Andrew finds two sets of bicycle on sale. A 6-gear bicycle can expense $270, and also a 15-gear bicycle can cost $540. I beg your pardon is the better deal for Andrew?

Solution:

Using factors, Andrew compares the price.Dividing 270 by 6, we understand that 45 and 6 are the determinants that make 270.270 ÷ 6 = 45Dividing 540 by 15, we know that 36 and 15 are the factors that do 540.540 ÷ 15 = 36Using this analysis of comparing prices with the aid of factors, Andrew finds the 15-gear bicycle is the much better deal.

See more: Convert 48 Ounces Equals How Many Pounds, Convert 48 Ounces To Pounds


Example 2: in ~ an median speed of 45 miles per hour, exactly how long would Mike require to travel 270 miles?

Solution:

Mike needs to travel 270 miles.His rate is 45 miles per hour.270 = 45 × _____Finding the lacking factor, us get 45 × 6 = 270Thus, Mike would certainly take 6 hours to take trip 270 miles.