Factoring and Multiples

To find how many groups of 6 are in 42, you divide 42 by 6. This calculation gives you ( 42 \div 6 = 7 ). Therefore, there are 7 groups of 6 in 42.

How a,my positive integers less than 1000 are divisable by both 18 and 45 but not 27?

The greatest common factor of 30 and 120 is 30

The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.

2,3 & 5 ARE Prime Number (factors().

They form the composite number . 30.

NO!!!!

Because '10' is NOT a prime factor, but a composite factor.

;10; has the primecfactors of '2' & '5' .

Hence the prime factors of '30', are 2,3, & 5 .

d^(2) + 4d - 21

Since 'd^(2) ' has a coefficient of '1' ( Not shown).

We then look for two numbers that multiply to '21 and add/subtract to ;4; #They are '-3' And '7'

Hence

d^(2) +4d - 21 = (d - 3)(d + 7)

NB d^(2) + 4d + 21 does NOT factor without going into IMAGINARY numbers.

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468, 477, 486, 495, 504, 513, 522, 531, 540, 549, 558, 567, 576, 585, 594, 603, 612, 621, 630, 639, 648, 657, 666, 675, 684, 693, 702, 711, 720, 729, 738, 747, 756, 765, 774, 783, 792, 801, 810, 819, 828, 837, 846, 855, 864, 873, 882, 891, 900, 909, 918, 927, 936, 945, 954, 963, 972, 981, 990, 999.

There are 111 multiples in all.

Because '17' will divide in to '85' exactly ;5; times with no remainder.

85/17 - 5

or

17 x 5 = 85

.13. is the only common factor or , 13, and ,26,

Remember

1 x 13 = 13

2 x 13 = 26

'13' appears in each multiple, hence it is a common factor.

The factors of '13' are '1', and '13'.

This is because '13' is a PRIME Number.

There are three. The factors of 28 are 1, 2, 4, 7, 14, and 28. The factors of 32 are 1, 2, 4, 8, 16, and 32. The common factors of 28 and 32 are 1, 2, and 4. 1, 2, & 4 1, 2 and 4

Four of them.

Use the 'Step ladder' division.

2)162

3)81

3)27

3)9

3)3 = 1 With this method reduce the division to '1'.

Hence

162 in multuple form is 2x3x3x3x3 = 2^(1) x 3^(4)

Hence 162 = 2^(1) x3^(4)

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LCM(28, 33) = 924

15 + 5x

'5' is a factor of both '15' & '5' . So take '5' out!!!

Hence

5(3 + x)

q^(3) + q^(2) + 2q + 2

=>

q^(2)(q + 1) + 2(q +1)

(q^(2)+ 2)(q + 1)

Fully factored.

tentukan fpb dari pasangan bilangan berikut 18 dan 38

5,2,2,2

10,2,2

20,2

40

All numbers have factors. Some numbers have some of the same factors as other numbers. These are common factors. If the factor is a prime number, it is a common prime factor.

3 is a prime number.

3 is a factor of 9.

3 is a factor of 12.

3 is a common prime factor of 9 and 12.

All numbers have factors. Some factors are prime numbers. A prime factor is a factor that is a prime number. A common prime factor is a prime factor that appears on the list of factors of two or more given numbers.

430,000 mg, 0.05kg, 32 g.

Since 768 is an even number; it ends in '8. It is divislbe by '2'.

Hence

768/2 = 384

Hence

768 = 2 x 384

0.2