What is the greatest perfect square that is a factor of 147?

10 answers
Question:

What is the greatest perfect square that is a factor of 147?

Answers

Don’t knows why you want

Well I know the factor of 147 is 1,3,7,21,49,147, so I believe the perfect square would be 49

192/4=48, but I'm not sure if that helps at all or not

244 is not a perfect square. So there fore you can not find the greatest factor that is the product of 244.

300 is the greatest perfect square

25

Step-by-step explanation: 350=35*10=7*5*5*2=14*5^2

Answer : 1,2,3,5,6,10,15,25,30,50,75,150, Related Links : Is 150 a rational number?

Step-by-step explanation:

The factors of 150.

6

Step-by-step explanation:

Check the perfect squares until you find one or get past half of the number (150).

4,9,16,25

25 is a perfect square

25*?=150

25*6=150

pls mark me brainiest

The greatest perfect square factor of 4536 is 324.

Solution:

Given, number is 4536

We have to find the greatest perfect square that is a factor of 4536.

Now, let us factorize the above number.

[tex]\begin{array}{l}{4536=2268 \times 2} \\\\ {=1134 \times 2 \times 2} \\\\ {=567 \times 2 \times 2} \\\\ {=189 \times 2 \times 2^{2}} \\\\ {=63 \times 3 \times 2 \times 2^{2}} \\\\ {=21 \times 3 \times 3^{2} \times 2 \times 2^{2}} \\\\ {=7 \times 3^{2} \times 3^{2} \times 2 \times 2^{2}} \\\\ {=7 \times 2 \times(3 \times 3 \times 2)^{2}} \\\\ {=14 \times 18^{2}}\end{array}[/tex]

So, greatest perfect square is [tex]18^2[/tex] = 324

Hence, the greatest perfect square factor of 4536 is 324.

Given number is 117.

We know about perfect square numbers, all the perfect squares below 117 are :- 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

We need to check the divisibility of 117 by these perfect squares written above.

117 is divisible by 1.

117 is an odd number, so it is not divisible by 4.

To check divisibility by 9, the sum of digits of number must be divisible by 9. So 1 + 1 + 7 = 9, it means 117 is divisible by 9.

The factors of 117 would be :- 117 = 9 × 13.

We know 13 is a prime number, so we can not factor it anymore.

It means 9 is the greatest perfect square that is factor of 117.

Hence, 9 is the final answer.

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