Q: What are the prime factors of the number 61,728,394?

 A: 2, 7, 13, 17, 71, 281

Why are those the prime factors of the number 61,728,394?

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 61,728,394

61,728,394
Factor Arrows
230,864,197
Factor Arrows
74,409,171
Factor Arrows
13339,167
Factor Arrows
1719,951
Factor Arrows
71281

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, 7, 13, 17, 71, 281

We can check our work by multiplying all of the prime factors together: 2 x 7 x 13 x 17 x 71 x 281 = 61,728,394

This can also be written as 21 x 71 x 131 x 171 x 711 x 2811 = 61,728,394

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 61,728,394:


Ask a Question