Q: What are the prime factors of the number 335,104,432?

 A: 2, 13, 1611079

Why are those the prime factors of the number 335,104,432?

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 335,104,432

335,104,432
Factor Arrows
2167,552,216
Factor Arrows
283,776,108
Factor Arrows
241,888,054
Factor Arrows
220,944,027
Factor Arrows
131,611,079

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:

2, 13, 1611079

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 13 x 1,611,079 = 335,104,432

This can also be written as 24 x 131 x 1,611,0791 = 335,104,432

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


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