Q: What are the prime factors of the number 40,156,158?

 A: 2, 3, 7, 19, 50321

Why are those the prime factors of the number 40,156,158?

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 40,156,158

40,156,158
Factor Arrows
220,078,079
Factor Arrows
36,692,693
Factor Arrows
7956,099
Factor Arrows
1950,321

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, 7, 19, 50321

We can check our work by multiplying all of the prime factors together: 2 x 3 x 7 x 19 x 50,321 = 40,156,158

This can also be written as 21 x 31 x 71 x 191 x 50,3211 = 40,156,158

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


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