Q: What are the prime factors of the number 74,104,778?

 A: 2, 11, 971, 3469

Why are those the prime factors of the number 74,104,778?

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 74,104,778

74,104,778
Factor Arrows
237,052,389
Factor Arrows
113,368,399
Factor Arrows
9713,469

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, 11, 971, 3469

We can check our work by multiplying all of the prime factors together: 2 x 11 x 971 x 3,469 = 74,104,778

This can also be written as 21 x 111 x 9711 x 3,4691 = 74,104,778

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


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