Q: What are the prime factors of the number 834,628,880?

 A: 2, 5, 10432861

Why are those the prime factors of the number 834,628,880?

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 834,628,880

834,628,880
Factor Arrows
2417,314,440
Factor Arrows
2208,657,220
Factor Arrows
2104,328,610
Factor Arrows
252,164,305
Factor Arrows
510,432,861

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, 5, 10432861

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 10,432,861 = 834,628,880

This can also be written as 24 x 51 x 10,432,8611 = 834,628,880

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


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