Q: What are the prime factors of the number 25,051,000?

 A: 2, 5, 13, 41, 47

Why are those the prime factors of the number 25,051,000?

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 25,051,000

25,051,000
Factor Arrows
212,525,500
Factor Arrows
26,262,750
Factor Arrows
23,131,375
Factor Arrows
5626,275
Factor Arrows
5125,255
Factor Arrows
525,051
Factor Arrows
131,927
Factor Arrows
4147

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, 5, 13, 41, 47

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 5 x 13 x 41 x 47 = 25,051,000

This can also be written as 23 x 53 x 131 x 411 x 471 = 25,051,000

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


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