Question

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(e) is 5 a factor of ?
0 Iso a factor of 8?
Find all the factors of:
(a) 42
(b) 56
3. Find all the factors of:
(c) 64
(a) 96
(b) 108
(c) 136
4. Check by division method whether 6 is a factor of 1296
5.
5. Check by division method whether 8 is a factor of 274
Show that 14 is a factor of 1246​

Answer 1

Step-by-step explanation:

2) a) factor of 42: 42,21,14,6,7,2,1

b) factor of 56: 56,28,14,8,7,4,2,1

3) a) factor of 64: 1,2,4,8,16,32,64

b) factor of 96: 1,2,3,4,6,8,12,16,24,32,

48,96

c) factor of 108: 2,3,108

d) factor of 64: 1,2,4,8,16,32,64

4) Yes 6 is a factor of 1296 because it is divisible by 3

5) 1246 is a composite number.

Prime factorization: 1246 = 2 × 7 × 89

The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 × 2 × 2 = 8. Therefore 1246 has exactly 8 factors.

Factors of 1246: 1, 2, 7, 14, 89, 178, 623, 1246

Factor pairs: 1246 = 1 × 1246, 2 × 623, 7 × 178, or 14 × 89

1246 has no square factors that allow its square root to be simplified. √1246 ≈ 35.29873

1246 is the hypotenuse of a Pythagorean triple:

546-1120-1246 which is 14 times (39-80-89)

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