Q: What are the prime factors of the number 14,820,000?

 A: 2, 3, 5, 13, 19

Why are those the prime factors of the number 14,820,000?

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 14,820,000

14,820,000
Factor Arrows
27,410,000
Factor Arrows
23,705,000
Factor Arrows
21,852,500
Factor Arrows
2926,250
Factor Arrows
2463,125
Factor Arrows
3154,375
Factor Arrows
530,875
Factor Arrows
56,175
Factor Arrows
51,235
Factor Arrows
5247
Factor Arrows
1319

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, 13, 19

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 5 x 13 x 19 = 14,820,000

This can also be written as 25 x 31 x 54 x 131 x 191 = 14,820,000

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


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