Q: What are the prime factors of the number 155,014,328?

 A: 2, 7, 773, 3581

Why are those the prime factors of the number 155,014,328?

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 155,014,328

155,014,328
Factor Arrows
277,507,164
Factor Arrows
238,753,582
Factor Arrows
219,376,791
Factor Arrows
72,768,113
Factor Arrows
7733,581

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, 7, 773, 3581

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 773 x 3,581 = 155,014,328

This can also be written as 23 x 71 x 7731 x 3,5811 = 155,014,328

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


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