Q: What are the prime factors of the number 48,846,525?

 A: 3, 5, 7, 13, 17, 421

Why are those the prime factors of the number 48,846,525?

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 48,846,525

48,846,525
Factor Arrows
316,282,175
Factor Arrows
53,256,435
Factor Arrows
5651,287
Factor Arrows
793,041
Factor Arrows
137,157
Factor Arrows
17421

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:

3, 5, 7, 13, 17, 421

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 7 x 13 x 17 x 421 = 48,846,525

This can also be written as 31 x 52 x 71 x 131 x 171 x 4211 = 48,846,525

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


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