Q: What are the prime factors of the number 155,134,100?

 A: 2, 5, 11, 12821

Why are those the prime factors of the number 155,134,100?

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 155,134,100

155,134,100
Factor Arrows
277,567,050
Factor Arrows
238,783,525
Factor Arrows
57,756,705
Factor Arrows
51,551,341
Factor Arrows
11141,031
Factor Arrows
1112,821

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, 11, 12821

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 11 x 11 x 12,821 = 155,134,100

This can also be written as 22 x 52 x 112 x 12,8211 = 155,134,100

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


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