Q: What are the prime factors of the number 33,003,450?

 A: 2, 3, 5, 29, 281

Why are those the prime factors of the number 33,003,450?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 33,003,450

33,003,450
Factor Arrows
216,501,725
Factor Arrows
35,500,575
Factor Arrows
31,833,525
Factor Arrows
3611,175
Factor Arrows
3203,725
Factor Arrows
540,745
Factor Arrows
58,149
Factor Arrows
29281

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 5, 29, 281

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 3 x 5 x 5 x 29 x 281 = 33,003,450

This can also be written as 21 x 34 x 52 x 291 x 2811 = 33,003,450

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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