Q: What are the prime factors of the number 738,492?

 A: 2, 3, 19, 41, 79

Why are those the prime factors of the number 738,492?

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 738,492

738,492
Factor Arrows
2369,246
Factor Arrows
2184,623
Factor Arrows
361,541
Factor Arrows
193,239
Factor Arrows
4179

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, 19, 41, 79

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 19 x 41 x 79 = 738,492

This can also be written as 22 x 31 x 191 x 411 x 791 = 738,492

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


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