Divisibility by 2 and 4
Is number 139 578 divisible by 2? Explain why.
Yes, because it's an even number (ends with an even digit)
Is number 638 179 divisible by 3? Explain why.
No, because the sum of its digits (34) is not divisible by 3.
Is number 638 179 divisible by 6? Explain why.
No, because it isn't even (divisible by2).
Is number 198 451 divisible by 5? Explain why.
No, because it doesn't end with 5 or 0.
Find the prime factorization of number 54.
54 = 2x3x3x3
Is number 156 378 divisible by 4? Explain why.
No, because 78 is not divisible by 4.
Is number 156 378 divisible by 9? Explain why.
No, because the sum of its digits (30) is not divisible by 9.
Is number 638 174 divisible by 6? Explain why.
No, because it is not divisible by 3 (the sum of its digits is 28).
Is number 73 495 divisible by 10? Explain why.
No, because it doesn't end with 0.
Find the prime factorization of number 72.
72 = 2x2x2x3x3
List all possible digits that could fill the blank if 73 05_ is divisible by 2.
The possible digits are 0,2,4,6 or 8.
List all possible digits that could fill the blank if 73 05_ is divisible by 3.
The possible digits are 0, 3, 6 or 9.
Is number 638 178 divisible by 6? Explain why.
Yes, because it is divisible by 2 (even) and by 3 (the sum of its digits is 33).
List all possible digits that could fill the blank if 72 43_ is divisible by both 3 and 5.
The only possible digit is 5.
Find the prime factorization of number 390.
390 = 2x3x5x13
List all possible digits that could fill the blank if 73 05_ is divisible by 4.
The possible digits are 2 or 6.
List all possible digits that could fill the blank if 40 2_3 is divisible by 9.
The possible digits are 0 or 9.
List all possible digits that could fill the blank if 24 _58 is divisible by 6.
The possible digits are 2, 5 or 8.
List all possible digits that could fill the blank if 21 54_ is divisible by both 2 and 9.
The only possible digit is 6.
Find the prime factorization of number 126.
126 = 2x3x3x7
List all possible digits that could fill the blank if 52 3_6 is divisible by 4.
The possible digits are 1, 3, 5, 7 or 9
List all possible digits that could fill the blank if 6_3 827 is divisible by 3.
The possible digits are 1, 4 or 7.
List all possible digits that could fill the blank if 35 27_ is divisible by 6.
The only possible digit is 4.
List all possible digits that could fill the blank if 51 22_ is divisible by both 3 and 4.
The only possible digit is 8.
Find the prime factorization of number 144.
144 = 2x2x2x2x3x3
List all possible digits that could fill the blank if 52 36_ is divisible by 4.
The possible digits are 0, 4 or 8.
List all possible digits that could fill the blank if 62_ 758 is divisible by 9.
The only possible digit is 8.
List all possible digits that could fill the blank if 37 29_ is divisible by 6.
The possible digits are 0 and 6.
List all possible digits that could fill the blank if 32 43_ is divisible by both 4 and 9.
The only possible digit is 6.
Find the prime factorization of number 525.
525 = 3x5x5x7