Q: What are the prime factors of the number 153,425,344?

 A: 2, 373, 6427

Why are those the prime factors of the number 153,425,344?

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 153,425,344

153,425,344
Factor Arrows
276,712,672
Factor Arrows
238,356,336
Factor Arrows
219,178,168
Factor Arrows
29,589,084
Factor Arrows
24,794,542
Factor Arrows
22,397,271
Factor Arrows
3736,427

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, 373, 6427

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 373 x 6,427 = 153,425,344

This can also be written as 26 x 3731 x 6,4271 = 153,425,344

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


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