Q: What are the prime factors of the number 48,824,630?

 A: 2, 5, 23, 212281

Why are those the prime factors of the number 48,824,630?

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 48,824,630

48,824,630
Factor Arrows
224,412,315
Factor Arrows
54,882,463
Factor Arrows
23212,281

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, 23, 212281

We can check our work by multiplying all of the prime factors together: 2 x 5 x 23 x 212,281 = 48,824,630

This can also be written as 21 x 51 x 231 x 212,2811 = 48,824,630

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


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