Q: What are the prime factors of the number 61,831,575?

 A: 3, 5, 13, 21139

Why are those the prime factors of the number 61,831,575?

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 61,831,575

61,831,575
Factor Arrows
320,610,525
Factor Arrows
36,870,175
Factor Arrows
51,374,035
Factor Arrows
5274,807
Factor Arrows
1321,139

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, 13, 21139

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 5 x 13 x 21,139 = 61,831,575

This can also be written as 32 x 52 x 131 x 21,1391 = 61,831,575

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


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