Question

write 600 as the product of prime factors in index form.

Answer 1

Hello.....

The factors of 600
600 

/     \
2     300

/       \
2      150

/       \
2      75

/       \
3      25

/       \
5      5

/       \
5      1
The Factor Tree of 600 above shows the level of divisions carried out to get the factor numbers. Study the tree to see the step by step division

proper divisors of 600

Prime divisor of 600 = 2, 4, 8, 3, 24, 5, 120
Sum divisor of 600 = 166

Integers of 600

Positive Integer factors of 600 = 2, 4, 8, 3, 24, 5, 12....
Hope this will help you....

Answer 2

600 as the product of prime factors in index form is 2³ × 3 × 5²

Given : The number is 600

To find : 600 as the product of prime factors in index form.

Solution :

Step 1 of 3 :

Write down the given number

The given number = 600

Step 2 of 3 :

Prime factorise the given number

We prime factorise the given number as below

600 = 2 × 2 × 2 × 3 × 5 × 5

Step 3 of 3 :

Express the number in index form

We write the given number in index form as below

600

= 2 × 2 × 2 × 3 × 5 × 5

= 2³ × 3 × 5²

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