Q: What are the prime factors of the number 155,742,360?

 A: 2, 3, 5, 1297853

Why are those the prime factors of the number 155,742,360?

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 155,742,360

155,742,360
Factor Arrows
277,871,180
Factor Arrows
238,935,590
Factor Arrows
219,467,795
Factor Arrows
36,489,265
Factor Arrows
51,297,853

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, 5, 1297853

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 1,297,853 = 155,742,360

This can also be written as 23 x 31 x 51 x 1,297,8531 = 155,742,360

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


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