Q: What are the prime factors of the number 901,958?

 A: 2, 29, 15551

Why are those the prime factors of the number 901,958?

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 901,958

901,958
Factor Arrows
2450,979
Factor Arrows
2915,551

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, 29, 15551

We can check our work by multiplying all of the prime factors together: 2 x 29 x 15,551 = 901,958

This can also be written as 21 x 291 x 15,5511 = 901,958

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


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