Factors the 15 space the list of integers that can be evenly divided into 15. It has actually a total of 4 components of i beg your pardon 15 is the best factor and the positive components 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 (3, 5).
You are watching: What is the prime factorization of 15
|1.||What are the determinants of 15?|
|2.||How to calculate the components of 15?|
|3.||Factors the 15 by element Factorization|
|4.||Factors the 15 in Pairs|
|5.||FAQs on components of 15|
What room the factors of 15?
The element of any kind of number includes the pair of numbers that provide the number as the an outcome when they are multiplied through each other. In this case, 15 is a composite number because it deserve to be divided by 1, 3, 5, and also itself. Hence, 1, 3, 5 are the factors of 15. Also, every numbers space their own factors also apart native number 1. Thus, 15 is additionally a variable of itself.
Important NotesAll the numbers have at the very least two factors. Amongst these 2 numbers, the first factor is 1 and also the various other is the number itself.
How to calculate the determinants of 15?
To discover all the factors of 15, we have to make all the possible pairs the numbers and multiply them to view if the an outcome is 15 or not.
For example, 1 × 15 = 15 and 2 × 7.5 = 15, but since a aspect cannot it is in a decimal number, 2 cannot be a element of 15.
Similarly, 3 × 5 = 15, and 15 × 1 = 15
That’s just how you recognize that no various other number apart from 1,3, 5, and 15 is a variable of 15.
Explore components using illustrations and interactive examples
Factors that 15 by element Factorization
The components of 15 are 1, 3, 5, and 15.
Let us understand this by performing prime factorization.
Now that we have done the prime factorization the 15, we can multiply it and also get the various other factors. Have the right to you shot and find out if every the components are covered or not? and also as you could have currently guessed, for prime numbers, there room no various other factors.
Factors of 15 in Pairs
The pair components can be any kind of two number that, when multiplied through each other, provides the number together the product. In this case, the pair factors of 15 are:
3 × 5 = 15, hence, (3,5) is a pair factor.
1 × 15 = 15 is likewise a pair factor.
The positive pair factors of 15 space (1,15) and (3,5).
The an adverse pair factors of 15 space (-1,-15) and (-3,-5).
Tips and TricksDid you understand that 1 is the smallest variable of every numbers?The given number is the largest factor of itself. Because that example, 6 is the largest variable of itself, 14 is the largest element of itself, and also so on.
Example 1 Courtney has 5 friends. She has 15 chocolates. Deserve to you explain how Courtney have to divide the fifteen chocolates so that all she friends gain an equal variety of chocolates?
From the question, we recognize that she has actually 5 friends and also 15 chocolates. Here, Courtney should use the principle of factors and multiples to division the chocolates amongst her girlfriend equally.
We recognize that 15 is a lot of of 5. We gain the product 15 when we main point 5 through 3.
Therefore, Courtney have to distribute 3 chocolates each to her friends to divide the chocolates equally.
Example 2 A huge square box have the right to fit up to 15 equal-sized tiny wrist-watch boxes inside it. If 3 wrist-watch boxes have the right to be kept in one heat of the large box, how countless rows will certainly be forced to store all 15 boxes with each other in the large box?
Total number of wrist-watch boxes come be preserved in the large box = 15
Total number of wrist-watch boxes in one row = 3
Now, if we simply divide 15 by 3, we acquire the price 5, i.e. We need 5 rows that 3 wristwatches each to store all the 15 wrist-watch crate in the huge box.
Here, we additionally learned the 3 and also 5, space the factors of 15.
Therefore, 5 rows space required.
Ashley is acquainted with the ide of element numbers. Hence, it will be easier for her to know the determinants of 15 through prime factorization. Deserve to you assist her with it?
Since Ashley is familiar with element numbers, we will very first list out all the element numbers much less than 15 and see just how they divide 15.
Prime numbers less than 15 are 2, 3, 5, 7, 11, and also 13.
Now, try to division 15 v the over prime numbers.
15 ÷ 2 = 7.5, but we understand that a factor cannot be a decimal number.
15 ÷ 3 = 5; we have actually 5 together the answer, thus, 5 is the aspect of 15.
15 ÷ 5 = 3, here, 3 is additionally the element of 15.
15 ÷ 7 = 2.14, is not a aspect of 15 together it is a decimal.
Similarly, every the various other prime numbers better than five will give you the price in a decimal number, which means that 5 is the highest possible prime element of 15. Also, it is among the only factors of 15 together with 1, 3, and also 15 itself.
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FAQs on determinants of 15
What room the factors of 15?
The determinants of 15 space 1, 3, 5, 15 and its an adverse factors space -1, -3, -5, -15.
What is the amount of the factors of 15?
All the determinants of 15 room 1, 3, 5, 15 and therefore the sum of every these components is 1 + 3 + 5 + 15 = 24
What Numbers space the Prime determinants of 15?
The prime determinants of 15 room 3, 5.
What is the Greatest usual Factor the 15 and 10?
The factors of 15 and also 10 are 1, 3, 5, 15 and also 1, 2, 5, 10 respectively.Common determinants of 15 and also 10 space <1, 5>.Hence, the GCF of 15 and also 10 is 5.
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What space the typical Factors that 15 and 9?
Since, the factors of 15 are 1, 3, 5, 15 and also the factors of 9 are 1, 3, 9.Hence, <1, 3> are the typical factors of 15 and 9.