Q: What are the prime factors of the number 190,013,334?

 A: 2, 3, 7, 743, 6089

Why are those the prime factors of the number 190,013,334?

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 190,013,334

190,013,334
Factor Arrows
295,006,667
Factor Arrows
331,668,889
Factor Arrows
74,524,127
Factor Arrows
7436,089

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, 3, 7, 743, 6089

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 743 x 6,089 = 190,013,334

This can also be written as 21 x 31 x 71 x 7431 x 6,0891 = 190,013,334

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


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