Q: What are the prime factors of the number 40,050,290?

 A: 2, 5, 7, 19, 30113

Why are those the prime factors of the number 40,050,290?

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 40,050,290

40,050,290
Factor Arrows
220,025,145
Factor Arrows
54,005,029
Factor Arrows
7572,147
Factor Arrows
1930,113

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, 7, 19, 30113

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 19 x 30,113 = 40,050,290

This can also be written as 21 x 51 x 71 x 191 x 30,1131 = 40,050,290

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


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