Q: What are the prime factors of the number 616,535,235?

 A: 3, 5, 61, 224603

Why are those the prime factors of the number 616,535,235?

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 616,535,235

616,535,235
Factor Arrows
3205,511,745
Factor Arrows
368,503,915
Factor Arrows
513,700,783
Factor Arrows
61224,603

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, 61, 224603

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 61 x 224,603 = 616,535,235

This can also be written as 32 x 51 x 611 x 224,6031 = 616,535,235

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


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