Q: What are the prime factors of the number 155,448?

 A: 2, 3, 17, 127

Why are those the prime factors of the number 155,448?

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 155,448

155,448
Factor Arrows
277,724
Factor Arrows
238,862
Factor Arrows
219,431
Factor Arrows
36,477
Factor Arrows
32,159
Factor Arrows
17127

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, 17, 127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 17 x 127 = 155,448

This can also be written as 23 x 32 x 171 x 1271 = 155,448

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


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