Q: What are the prime factors of the number 153,142,500?

 A: 2, 3, 5, 7, 2917

Why are those the prime factors of the number 153,142,500?

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 153,142,500

153,142,500
Factor Arrows
276,571,250
Factor Arrows
238,285,625
Factor Arrows
312,761,875
Factor Arrows
52,552,375
Factor Arrows
5510,475
Factor Arrows
5102,095
Factor Arrows
520,419
Factor Arrows
72,917

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, 7, 2917

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 7 x 2,917 = 153,142,500

This can also be written as 22 x 31 x 54 x 71 x 2,9171 = 153,142,500

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


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