Q: What are the prime factors of the number 346,035,056?

 A: 2, 47, 421, 1093

Why are those the prime factors of the number 346,035,056?

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 346,035,056

346,035,056
Factor Arrows
2173,017,528
Factor Arrows
286,508,764
Factor Arrows
243,254,382
Factor Arrows
221,627,191
Factor Arrows
47460,153
Factor Arrows
4211,093

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, 47, 421, 1093

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 47 x 421 x 1,093 = 346,035,056

This can also be written as 24 x 471 x 4211 x 1,0931 = 346,035,056

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


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