Question

prime factors of 9261000

Answer 1

Given: A number 9261000

To find: Prime factors of the given number

Solution:

Using the division method:

The steps to calculate prime factors of a number using the division method are as follows:

Step 1 : Divide the given number with the smallest prime number which divides the given number exactly.

Step 2 : Again, divide the quotient by the smallest number which divides it exactly.

Step 3 : Repeat the process until the quotient becomes 1.

Step 4 : Express the given number as the prime number's product.

Following the above steps, we see that 9261000 can be expressed as:

9261000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7

i.e., 9261000 = $2^{3} *3^{3}* 5^{3} *7^{3}$

Hence, prime factors of 9261000 are 2, 3, 5 and 7.