Q: What are the prime factors of the number 155,134,440?

 A: 2, 3, 5, 47881

Why are those the prime factors of the number 155,134,440?

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 155,134,440

155,134,440
Factor Arrows
277,567,220
Factor Arrows
238,783,610
Factor Arrows
219,391,805
Factor Arrows
36,463,935
Factor Arrows
32,154,645
Factor Arrows
3718,215
Factor Arrows
3239,405
Factor Arrows
547,881

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, 47881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 47,881 = 155,134,440

This can also be written as 23 x 34 x 51 x 47,8811 = 155,134,440

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


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