Q: What are the prime factors of the number 155,247,576?

 A: 2, 3, 11, 67, 131

Why are those the prime factors of the number 155,247,576?

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 155,247,576

155,247,576
Factor Arrows
277,623,788
Factor Arrows
238,811,894
Factor Arrows
219,405,947
Factor Arrows
36,468,649
Factor Arrows
11588,059
Factor Arrows
678,777
Factor Arrows
67131

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, 3, 11, 67, 131

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 11 x 67 x 67 x 131 = 155,247,576

This can also be written as 23 x 31 x 111 x 672 x 1311 = 155,247,576

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


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