Q: What are the prime factors of the number 341,224,455?

 A: 3, 5, 11, 13, 159079

Why are those the prime factors of the number 341,224,455?

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 341,224,455

341,224,455
Factor Arrows
3113,741,485
Factor Arrows
522,748,297
Factor Arrows
112,068,027
Factor Arrows
13159,079

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:

3, 5, 11, 13, 159079

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 13 x 159,079 = 341,224,455

This can also be written as 31 x 51 x 111 x 131 x 159,0791 = 341,224,455

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


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