Q: What are the prime factors of the number 153,400,422?

 A: 2, 3, 7, 3652391

Why are those the prime factors of the number 153,400,422?

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 153,400,422

153,400,422
Factor Arrows
276,700,211
Factor Arrows
325,566,737
Factor Arrows
73,652,391

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, 7, 3652391

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 3,652,391 = 153,400,422

This can also be written as 21 x 31 x 71 x 3,652,3911 = 153,400,422

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


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