Q: What are the prime factors of the number 368,452?

 A: 2, 7, 13159

Why are those the prime factors of the number 368,452?

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 368,452

368,452
Factor Arrows
2184,226
Factor Arrows
292,113
Factor Arrows
713,159

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, 7, 13159

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 13,159 = 368,452

This can also be written as 22 x 71 x 13,1591 = 368,452

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


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