Q: What are the prime factors of the number 245,044,650?

 A: 2, 3, 5, 571, 2861

Why are those the prime factors of the number 245,044,650?

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 245,044,650

245,044,650
Factor Arrows
2122,522,325
Factor Arrows
340,840,775
Factor Arrows
58,168,155
Factor Arrows
51,633,631
Factor Arrows
5712,861

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, 571, 2861

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 571 x 2,861 = 245,044,650

This can also be written as 21 x 31 x 52 x 5711 x 2,8611 = 245,044,650

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


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