What is the smallest perfect cube that has a factor of 4725?

Factors of 4725 are 3,3,3,5,5,7
I have 3^3 and 5^2 and 7. So I need 1 more 5 and 2 more of 7

So: 3^3*5^3*7^3
= 1157625
When I cube root 1157625 it is 105. So is this the answer?

The smallest perfect cube that has a factor of 4725 is 1157625

1. 👍 0
2. 👎 0
3. 👁 53
1. looks good to me.

1. 👍 0
2. 👎 0
posted by Steve
2. Ok thank you!

1. 👍 0
2. 👎 0

## Similar Questions

What is the smallest perfect square that has a factor of 800. What is the smallest perfect cube that has a factor of 800? Smallest perfect square would be 1600 and smallest perfect cube I think would be 8000. 800= 2,2,2,2,2,5,5

asked by Farhin on December 5, 2016
2. ### chemistry

Substance X has a molar extinction coefficient (E) of 4725 l.mol-1 cm-1. How many micromoles of X are needed to produce an absorbance of 1.0 in a 1 ml cuvette?

asked by tulasi on April 29, 2012
3. ### cor biology

Substance X has a molar extinction coefficient (E) of 4725 l.mol-1. How many moles of X are needed to produce an absorbance of 1.0 in a 1 ml cuvette?

asked by Turki on October 16, 2013
4. ### math

2x is a perfect square, 3x a perfect cube, and 5x a perfect 5th power. Find the sum of the exponents in the prime factorization of the smallest such positive integer x. Thank you.

asked by unowen on June 30, 2017
5. ### Math

issan deposited 2500 into a savings account that pays 4.5% simple interest per year. How much interest does she earn per year? A-1225.00 B-472.50** C-157.50 D-4725.00 I think its C

asked by Jazmine Gonzales on January 12, 2016
6. ### math

The number 1 is a perfect square (1X1=1) and a perfect cube (1X1X1=1). What is the next smallest whole number which is both a perfect square and a perfect cube?

asked by johnny on April 4, 2011
7. ### Math

I need help on this question. What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube? I THINK THE ANSWER IS 1, IS THIS CORRECT?

asked by Michael on September 23, 2009
8. ### math

The number 1 is a perfect square and a perfict cube. What is the next smallest whole number which is a perfect square and a perfect cube?

asked by johnny on March 28, 2011
9. ### maths

divide the number 52728 by the smallest number so that the question is a perfect cube. also find the cube root of the quotient.

asked by anshikaaaaaaaaaa on June 4, 2012
10. ### Math

Divide 52728 by the smallest number so that the quotient is a perfect cube. Also find the cube root of the quotient

asked by Doc on August 10, 2016

More Similar Questions