Q: What are the prime factors of the number 29,285,250?

 A: 2, 3, 5, 39047

Why are those the prime factors of the number 29,285,250?

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 29,285,250

29,285,250
Factor Arrows
214,642,625
Factor Arrows
34,880,875
Factor Arrows
5976,175
Factor Arrows
5195,235
Factor Arrows
539,047

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, 39047

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 39,047 = 29,285,250

This can also be written as 21 x 31 x 53 x 39,0471 = 29,285,250

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


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