Q: What are the prime factors of the number 29,467,594?

 A: 2, 13, 19, 59651

Why are those the prime factors of the number 29,467,594?

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 29,467,594

29,467,594
Factor Arrows
214,733,797
Factor Arrows
131,133,369
Factor Arrows
1959,651

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, 13, 19, 59651

We can check our work by multiplying all of the prime factors together: 2 x 13 x 19 x 59,651 = 29,467,594

This can also be written as 21 x 131 x 191 x 59,6511 = 29,467,594

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


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