Q: What are the prime factors of the number 62,360,325?

 A: 3, 5, 277157

Why are those the prime factors of the number 62,360,325?

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 62,360,325

62,360,325
Factor Arrows
320,786,775
Factor Arrows
36,928,925
Factor Arrows
51,385,785
Factor Arrows
5277,157

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:

3, 5, 277157

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 277,157 = 62,360,325

This can also be written as 32 x 52 x 277,1571 = 62,360,325

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


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