Factors the 360 room the perform of integers that us can split evenly into 360. Over there are in its entirety 24 components of 360, of which 2, 3 and also 5 space its element factors. The element Factorization the 360 is 23 × 32 × 5.

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Factors that 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360Negative factors of 360: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -30, -36, -40, -45, -60, -72, -90, -120, -180 and -360Prime factors of 360: 2, 3, 5Prime administer of 360: 2 × 2 × 2 × 3 × 3 × 5 = 23 × 32 × 5Sum of components of 360: 1170
1.What room the factors of 360?
2.How to calculation the components of 360?
3.Factors of 360 by element Factorization
4.Factors of 360 in Pairs
5.FAQs on factors of 360

What room the factors of 360?


Factors the 360 are the number which, as soon as multiplied together, give the product as 360. 

For example, the product that 36 and 10 provides 360. Thus, they are the factors of 360.

We understand that 360 is a composite number, therefore, it will certainly have countless other factors.

They have the right to be detailed as 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

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Explore components using illustrations and also interactive examples:


How To calculation the components of 360?


Let"s learn exactly how to calculate the components of 360.

Step 2: uncover the two numbers whose product provides 360

360 can be written as a product of 36 and 10. 

Similarly, you deserve to calculate every the other factors. The determinants of 360 can be noted as 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.


Factors the 360 by prime Factorization


Prime factorization refers to the method to refer a composite number as the product of its prime factors. 

It is done utilizing the following steps.

Step 1: compose the pair the factors which on multiplication gives the compelled number.

Step 2: examine whether every of the determinants are element or not.

If both the numbers are prime, they deserve to be multiplied together it is.If one among them is prime and the various other one is composite, then the composite number is broken down into its factors.If both the numbers room composite, they have the right to be damaged down further into your factors.

Factors the 360 by prime factorization

Step 1: 360 can be factored together product the 36 and 10.

Step 2: On checking the determinants 36 and 10, we deserve to observe that 36 is not a prime number. It deserve to be factored together a square of 6 and 6 can more be factored together a product that 2 and 3.

10 is not a element number. Hence, it deserve to be factored as 2 and 5.

360 have the right to be created as 2 × 2 × 2 × 3 × 3 × 5.

Hence, the prime components of 360 deserve to be created as 360 = 23 × 32 × 5 

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Now that we have actually done the element factorization of our number, we deserve to multiply the numbers and also get the various other factors. Have the right to you try and find out if all the determinants are spanned or not? and as you could have currently guessed, for prime numbers, there room no various other factors.


Tips and also Tricks


1 is the smallest aspect of every number. Hence, it is one among the components of 360.360 is an also number, hence, that has 2 as among its factors.The last digit that 360 is 0. Thus, it has 1, 2, 5 and 10 as its factors.

Factors of 360 in Pairs


The pair components of 360 incorporate a set of two numbers which, as soon as multiplied together, give 360.

The confident pair determinants of 360 can be provided as (1, 360), (2, 180), (3, 120), (4, 90), (5, 72), (6, 60), (8, 45), (9, 40), (10, 36), (12, 30), (15, 24), and (18, 20).

A number have the right to have an unfavorable pair determinants as well, due to the fact that the product of two an adverse numbers offers a optimistic number.

The an unfavorable pair determinants of 360 are (-1, -360), (-2, -180), (-3, -120), (-4, -90), (-5, -72), (-6, -60), (-8, -45), (-9, -40), (-10, -36), (-12, -30), (-15, -24), and (-18, -20).

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Challenging Questions

Can friend think of the number of ways in i m sorry 360 plates can be stacked?Is 6 a factor of 360? If yes, state the reason.