Q: What are the prime factors of the number 164,430,050?

 A: 2, 5, 59, 139, 401

Why are those the prime factors of the number 164,430,050?

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 164,430,050

164,430,050
Factor Arrows
282,215,025
Factor Arrows
516,443,005
Factor Arrows
53,288,601
Factor Arrows
5955,739
Factor Arrows
139401

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, 5, 59, 139, 401

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 59 x 139 x 401 = 164,430,050

This can also be written as 21 x 52 x 591 x 1391 x 4011 = 164,430,050

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


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