Q: What are the prime factors of the number 61,885,725?

 A: 3, 5, 11, 75013

Why are those the prime factors of the number 61,885,725?

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 61,885,725

61,885,725
Factor Arrows
320,628,575
Factor Arrows
54,125,715
Factor Arrows
5825,143
Factor Arrows
1175,013

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, 11, 75013

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 11 x 75,013 = 61,885,725

This can also be written as 31 x 52 x 111 x 75,0131 = 61,885,725

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


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