Q: What are the prime factors of the number 423,655,616?

 A: 2, 19, 348401

Why are those the prime factors of the number 423,655,616?

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 423,655,616

423,655,616
Factor Arrows
2211,827,808
Factor Arrows
2105,913,904
Factor Arrows
252,956,952
Factor Arrows
226,478,476
Factor Arrows
213,239,238
Factor Arrows
26,619,619
Factor Arrows
19348,401

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, 19, 348401

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 19 x 348,401 = 423,655,616

This can also be written as 26 x 191 x 348,4011 = 423,655,616

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


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