Use tests for divisibility

Divisibility by 2

1 pts

volume_mute

Which of the following numbers is divisible by 2?

534,841

534,840

534,839

534,837

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Correct Answer

Explanation

Divisibility by 3

1 pts

volume_mute

Is \(534{,}840\) divisible by 3?

Hint: Add its digits: \(5+3+4+8+4+0\)

Yes — the digit sum is 24, which is divisible by 3.

No — the digit sum is 24, which is not divisible by 3.

Yes — the last digit is 0.

No — only even numbers are divisible by 3.

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Correct Answer

Explanation

Divisibility by 4

1 pts

volume_mute

Is \(534{,}840\) divisible by 4?

Hint: Look at the number formed by its last two digits.

Yes — 40 ÷ 4 = 10 with no remainder.

No — 40 is not divisible by 4.

Yes — 534,840 is even.

No — only numbers ending in 00 are divisible by 4.

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Correct Answer

Explanation

Divisibility by 5

1 pts

volume_mute

Which numbers below are divisible by 5? Choose the best answer.

534,843 and 534,840

534,845 and 534,840

534,842 and 534,844

534,841 only

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Correct Answer

Explanation

Divisibility by 6

1 pts

volume_mute

A number is divisible by 6 if it is divisible by both 2 and 3. Is \(534{,}840\) divisible by 6?

Yes — it is divisible by both 2 and 3.

No — it is divisible by 2 but not 3.

No — it is divisible by 3 but not 2.

No — it must end in 6 to be divisible by 6.

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Explanation

Divisibility by 9

1 pts

volume_mute

Is \(534{,}840\) divisible by 9?

Digit sum: \(5+3+4+8+4+0 = 24\)

Yes — 24 is divisible by 9.

No — 24 is not divisible by 9.

Yes — it is divisible by 3, so also by 9.

No — only even numbers are divisible by 9.

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Correct Answer

Explanation

Divisibility by 10

1 pts

volume_mute

A number is divisible by 10 if its last digit is 0. Which of the following is divisible by 10?

73,311,435

73,311,430

73,311,435

73,311,431

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Correct Answer

Explanation

Classify 534,840 by Divisibility

3 pts

Drag each divisor into the correct category for the number 534,840.

drag and drop the selected option to the right place

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Correct Answer

Explanation

Match Each Divisor to Its Divisibility Test

2 pts

Match each divisor to the correct divisibility test.

To complete the line match

Click on an item in the first group
Click on the match in the second group

To delete a match, double click on a line

Divisor

2

3

5

9

10

Test

Last digit is 0 or 5

Sum of digits is divisible by 9

Last digit is 0

Sum of digits is divisible by 3

Last digit is divisible by 2

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Correct Answer

Explanation

Which Tests Does 73,311,435 Pass?

2 pts

volume_mute

The number is 73,311,435. Digit sum: \(7+3+3+1+1+4+3+5 = 27\). Last digit: 5. Last two digits: 35.

Select all numbers that 73,311,435 is divisible by.

2

3

5

9

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Explanation

Definition of Divisible

1 pts

volume_mute

One number is divisible by another when:

The quotient is a large number.

The division leaves a remainder of 0.

Both numbers end in zero.

The dividend is greater than the divisor.

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Explanation

Complete the Divisibility Rule for 4

1 pts

A number is divisible by 4 if the number formed by its last (1) digits is divisible by 4.

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Correct Answer

Explanation

Test Divisibility by 6

2 pts

volume_mute

Is 126 divisible by 6? Apply the correct tests.

Yes — it ends in 6.

Yes — it is divisible by both 2 and 3.

No — 1+2+6 = 9, which is not divisible by 3.

No — 126 ends in 6, not 0.

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Correct Answer

Explanation

Sort the Divisibility Rules by Divisor

2 pts

Please drag and drop the options to sort them

Drag the divisibility rules into order from smallest divisor to largest.

Divisible by 9 if digit sum is divisible by 9

Divisible by 2 if last digit is even

Divisible by 6 if divisible by both 2 and 3

Divisible by 3 if digit sum is divisible by 3

Divisible by 10 if last digit is 0

Divisible by 4 if last two digits form a number divisible by 4

Divisible by 5 if last digit is 0 or 5

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Explanation

Divisible by Both 3 and 5?

2 pts

volume_mute

Select all numbers that are divisible by both 3 and 5.

45

75

82

135

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Divisibility by 2

Correct Answer

Explanation

Divisibility by 3

Correct Answer

Explanation

Divisibility by 4

Correct Answer

Explanation

Divisibility by 5

Correct Answer

Explanation

Divisibility by 6

Correct Answer

Explanation

Divisibility by 9

Correct Answer

Explanation

Divisibility by 10

Correct Answer

Explanation

Classify 534,840 by Divisibility

drag and drop the selected option to the right place

Correct Answer

Explanation

Match Each Divisor to Its Divisibility Test

Divisor

Test

Correct Answer

Explanation

Which Tests Does 73,311,435 Pass?

Correct Answer

Explanation

Definition of Divisible

Correct Answer

Explanation

Complete the Divisibility Rule for 4

Correct Answer

Explanation

Test Divisibility by 6

Correct Answer

Explanation

Sort the Divisibility Rules by Divisor

Correct Answer

Explanation

Divisible by Both 3 and 5?

Correct Answer

Explanation

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