Q: What are the prime factors of the number 155,103,465?

 A: 3, 5, 11, 73, 79, 163

Why are those the prime factors of the number 155,103,465?

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 155,103,465

155,103,465
Factor Arrows
351,701,155
Factor Arrows
510,340,231
Factor Arrows
11940,021
Factor Arrows
7312,877
Factor Arrows
79163

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, 11, 73, 79, 163

We can check our work by multiplying all of the prime factors together: 3 x 5 x 11 x 73 x 79 x 163 = 155,103,465

This can also be written as 31 x 51 x 111 x 731 x 791 x 1631 = 155,103,465

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


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