Q: What are the prime factors of the number 341,004,416?

 A: 2, 2664097

Why are those the prime factors of the number 341,004,416?

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 341,004,416

341,004,416
Factor Arrows
2170,502,208
Factor Arrows
285,251,104
Factor Arrows
242,625,552
Factor Arrows
221,312,776
Factor Arrows
210,656,388
Factor Arrows
25,328,194
Factor Arrows
22,664,097

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, 2664097

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2,664,097 = 341,004,416

This can also be written as 27 x 2,664,0971 = 341,004,416

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


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