Question

Do all the factors of a given number divide the number exactly? find the factors of 30 and verify with division​

Answer 1

Answer:

factors of 30 r 1, 2, 3, 5, 6, 10, 15, 30

Explanation:

30 ÷ 1 = 30

30 ÷ 2 = 15

30 ÷ 3 = 10

30 ÷ 5 = 6

30 ÷ 6 = 5

30 ÷ 10 = 3

30 ÷ 15 = 2

30 ÷ 30 = 1

Here as we can see there r no reminders.

Here as we can see there r no reminders. Hence all the factors of a given number divide the number exactly.

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Answer 2

Yes, all the factors of a given number divide the number exactly

GIVEN:- Do all the factors of a given number divide the number exactly?

TO FIND:- the factors of 30 and verify

SOLUTION:-

• Yes, all the factors of a given number divide the number exactly because factors of a number are characterized as numbers that can be divided by the original number perfectly or exactly without leaving any remainder.

• Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.

For verifying that all the factors of 30 which are 1, 2, 3, 5, 6, 10, 15 and 30 divide the number 30 exactly.

$\frac{30}{1} = 30 \\ \frac{30}{2} = 15 \\ \frac{30}{3} = 10 \\ \frac{30}{5} = 6 \\ \frac{30}{6} = 5 \\ \frac{30}{10} = 3 \\ \frac{30}{15} = 2 \\ \frac{30}{30} = 1$

Hence, proved that all the factors of a given number divide the number exactly.

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