Q: What are the prime factors of the number 156,644,250?

 A: 2, 3, 5, 7, 29837

Why are those the prime factors of the number 156,644,250?

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 156,644,250

156,644,250
Factor Arrows
278,322,125
Factor Arrows
326,107,375
Factor Arrows
55,221,475
Factor Arrows
51,044,295
Factor Arrows
5208,859
Factor Arrows
729,837

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, 29837

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 5 x 7 x 29,837 = 156,644,250

This can also be written as 21 x 31 x 53 x 71 x 29,8371 = 156,644,250

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


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