Factors the 15 room the perform of integers that can be evenly divided into 15. It has a total of 4 factors of i beg your pardon 15 is the best factor and the positive determinants of 15 are 1, 3, 5, and 15. The amount of all components of 15 is 24 and its factors in Pairs are (1, 15) and also (3, 5).

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Factors that 15: 1, 3, 5 and 15Negative components of 15: -1, -3, -5 and also -15Prime components of 15: 3, 5Prime factorization of 15: 3 × 5 = 3 × 5Sum of determinants of 15: 24

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1.What space the determinants of 15?
2.How to calculate the factors of 15?
3.Factors of 15 by element Factorization
4.Factors that 15 in Pairs
5.FAQs on factors of 15

What room the factors of 15?


The factor of any number has the pair of numbers that offer the number as the an outcome when they are multiplied through each other. In this case, 15 is a composite number because it have the right to be divided by 1, 3, 5, and itself. Hence, 1, 3, 5 are the components of 15. Also, all numbers space their own factors also apart from number 1. Thus, 15 is likewise a variable of itself.


Important NotesAll the numbers have at least two factors. Amongst these 2 numbers, the an initial factor is 1 and also the various other is the number itself.


How to calculate the factors of 15?

To find all the components of 15, we need to make all the possible pairs the numbers and multiply them to watch if the an outcome is 15 or not.

For example, 1 × 15 = 15 and also 2 × 7.5 = 15, but because a aspect cannot be a decimal number, 2 cannot be a factor of 15. 

Similarly, 3 × 5 = 15, and also 15 × 1 = 15

That’s exactly how you understand that no other number except 1,3, 5, and also 15 is a factor of 15.

Explore determinants using illustrations and interactive examples


Factors of 15 by prime Factorization

The components of 15 are 1, 3, 5, and 15.

Let us recognize this by performing element factorization.

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Now that we have done the element factorization of 15, we can multiply it and also get the various other factors. Can you try and uncover out if every the determinants are covered or not? and also as you can have currently guessed, because that prime numbers, there space no other factors.


Factors of 15 in Pairs

The pair determinants can be any kind of two numbers that, when multiplied v each other, provides the number together the product. In this case, the pair determinants of 15 are:

3 × 5 = 15, hence, (3,5) is a pair factor.

1 × 15 = 15 is likewise a pair factor.

The confident pair components of 15 room (1,15) and also (3,5).

The an unfavorable pair factors of 15 room (-1,-15) and (-3,-5).


Tips and Tricks

Did you understand that 1 is the smallest element of every numbers?The offered number is the largest element of itself. For example, 6 is the largest variable of itself, 14 is the largest element of itself, and also so on.

Solved Examples


Example 1 Courtney has actually 5 friends. She has actually 15 chocolates. Deserve to you describe how Courtney should divide the fifteen chocolates so the all she friends obtain an equal number of chocolates?

Solution

From the question, we understand that she has actually 5 friends and 15 chocolates. Here, Courtney must use the concept of factors and multiples to divide the chocolates amongst her friends equally.

We know that 15 is a multiple of 5. We obtain the product 15 once we main point 5 through 3.

Therefore, Courtney have to distribute 3 chocolates each to her friends to division the chocolates equally.


Example 2 A large square box can fit as much as 15 equal-sized tiny wrist-watch boxes within it. If 3 wrist-watch boxes have the right to be preserved in one heat of the big box, how numerous rows will certainly be forced to store all 15 boxes together in the huge box?

Solution

Total variety of wrist-watch boxes to be kept in the big box = 15

Total number of wrist-watch crate in one row = 3

Now, if we simply divide 15 by 3, we obtain the prize 5, i.e. We need 5 rows of 3 wristwatches every to save all the 15 wrist-watch box in the large box.

Here, we additionally learned the 3 and also 5, are the factors of 15.

Therefore, 5 rows room required.


Example 3

Ashley is acquainted with the concept of element numbers. Hence, it will be easier for her to know the components of 15 through element factorization. Can you help her with it?

Solution

Since Ashley is acquainted with prime numbers, us will very first list out all the element numbers much less than 15 and see exactly how they divide 15.

Prime numbers much less than 15 are 2, 3, 5, 7, 11, and also 13.

Now, shot to divide 15 through the above prime numbers.

15 ÷ 2 = 7.5, however we recognize that a aspect cannot it is in a decimal number.

15 ÷ 3 = 5; we have 5 together the answer, thus, 5 is the factor of 15.

15 ÷ 5 = 3, here, 3 is also the aspect of 15.

15 ÷ 7 = 2.14, is no a aspect of 15 as it is a decimal.

Similarly, all the various other prime numbers greater than five will provide you the price in a decimal number, which way that 5 is the greatest prime factor of 15. Also, it is just one of the only determinants of 15 along with 1, 3, and 15 itself.


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FAQs on factors of 15

What space the factors of 15?

The components of 15 space 1, 3, 5, 15 and also its an unfavorable factors room -1, -3, -5, -15.

What is the amount of the factors of 15?

All the factors of 15 room 1, 3, 5, 15 and therefore the sum of all these factors is 1 + 3 + 5 + 15 = 24

What Numbers are the Prime factors of 15?

The prime components of 15 are 3, 5.

What is the Greatest common Factor the 15 and 10?

The factors of 15 and 10 are 1, 3, 5, 15 and 1, 2, 5, 10 respectively.Common factors of 15 and 10 room <1, 5>.Hence, the GCF of 15 and also 10 is 5.

See more: Excel Gloss A Workbook Sheet That Contains Only A Chart, Excel Ch 3 Mos Terms (Stewart) Flashcards

What room the usual Factors the 15 and 9?

Since, the components of 15 are 1, 3, 5, 15 and also the components of 9 are 1, 3, 9.Hence, <1, 3> are the common factors the 15 and also 9.