Q: What are the prime factors of the number 155,050,875?

 A: 3, 5, 7, 6563

Why are those the prime factors of the number 155,050,875?

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 155,050,875

155,050,875
Factor Arrows
351,683,625
Factor Arrows
317,227,875
Factor Arrows
35,742,625
Factor Arrows
51,148,525
Factor Arrows
5229,705
Factor Arrows
545,941
Factor Arrows
76,563

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, 7, 6563

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 5 x 5 x 5 x 7 x 6,563 = 155,050,875

This can also be written as 33 x 53 x 71 x 6,5631 = 155,050,875

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


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