All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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3, 12, 30
3 is a prime number. Prime numbers don't have factor trees. The factors of 3 are 1 and 3.
12
To determine if 3 is a factor of 261, we need to check if 261 is divisible by 3 without any remainder. We can do this by dividing 261 by 3. When we divide 261 by 3, we get 87 with no remainder. Therefore, 3 is a factor of 261 because it divides evenly into 261.
If the last two digits of your target number are a multiple of 4, 4 is a factor of the whole number.