Divisibility Rules, GCF and LCM

What is the remainder if a number divisible by another number?

• 0

• 1

• an even number

• an odd number

Why is it that a number divisible by 6 always divisible by both 2 and 3?

• Because the prime factors of 6 are 2 and 3.

• Because the sum of the two numbers is 6.

• Because 6 is divisible by 3 and 3.

• Because the product of 2 and 3 is 6.

If a number is divisible by 9, it is also divisible by ______.

• 2

• 3

• 4

• 12

Which number is divisible by 2, 3, 4, 5, 6, 8, 9, and 10?

• 102 800

• 501 760

• 781 040

• 910 080

Which statement is NOT TRUE about divisibility rules?

• Every number is divisible by 1.

• All even numbers are divisible by 2.

• A number divisible by 3 is always divisible by 9.

• A number divisible by both 2 and 5 is divisible by 10.

What is the result when a number is divided by 0?

• The quotient is 0.

• The quotient is 1.

• The result is undefined.

• The result is infinite.

Which statement proves that 9 270 is divisible by 9?

• The sum of the digits is a product of 9.

• The digits add up to 18.

• It's an even and the sum of the digits is divisible by 3.

• The sum of the digits is even.

Which number is divisible by 6 and 9?

• 1 260

• 2 490

• 2 511

• 3 627

When is a number is divisible by 3?

• The sum of the digits is an even number and divisible by 3.

• Its digits add up to 9.

• It ends in 3.

• The sum of its digits is a multiple of 3.

What digit must be placed on the blank to make the number divisible by 3? 94__2

• 1

• 2

• 3

• 4