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First, find two numbers that when multiplied together equal 189. I can tell by looking at the number that it is divisible by 9. Any number whose digits add up to a number divisible by 9 is also divisible by 9. 1 + 8 + 9 = 18, which is divisible by 9. 189 ÷ 9 is 21. So, the top of our factor tree is: 189 9 x 21 Now, determine two pairs of numbers that when multiplied together, one pair will equal 9 and the other pair will equal 21. 9 = 3 x 3 and 21 = 7 x 3. So, now our factor tree is: 189 9 x 21 (3x3) x (7x3) You would continue doing this until you no more numbers can be factored. Since 3 and 7 are prime numbers, the factor tree is finished. The factor tree shows that the prime factorization of 189 is 3 x 3 x 3 x 7 or 33 x 7.
Expressed as a mixed number in its simplest form, 189/153 is equal to 1 4/17 or one and fourteen seventeenths.
To find out how many times 9 goes into 189, you divide 189 by 9. The result is 21, which means that 9 goes into 189 21 times without any remainder. This is because 9 multiplied by 21 equals 189.
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