Q: What are the prime factors of the number 42,325,452?

 A: 2, 3, 13, 90439

Why are those the prime factors of the number 42,325,452?

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 42,325,452

42,325,452
Factor Arrows
221,162,726
Factor Arrows
210,581,363
Factor Arrows
33,527,121
Factor Arrows
31,175,707
Factor Arrows
1390,439

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, 13, 90439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 13 x 90,439 = 42,325,452

This can also be written as 22 x 32 x 131 x 90,4391 = 42,325,452

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


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