Q: What are the prime factors of the number 155,471,424?

 A: 2, 3, 809747

Why are those the prime factors of the number 155,471,424?

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 155,471,424

155,471,424
Factor Arrows
277,735,712
Factor Arrows
238,867,856
Factor Arrows
219,433,928
Factor Arrows
29,716,964
Factor Arrows
24,858,482
Factor Arrows
22,429,241
Factor Arrows
3809,747

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, 809747

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 3 x 809,747 = 155,471,424

This can also be written as 26 x 31 x 809,7471 = 155,471,424

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


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