Q: What are the prime factors of the number 464,865,536?

 A: 2, 1815881

Why are those the prime factors of the number 464,865,536?

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 464,865,536

464,865,536
Factor Arrows
2232,432,768
Factor Arrows
2116,216,384
Factor Arrows
258,108,192
Factor Arrows
229,054,096
Factor Arrows
214,527,048
Factor Arrows
27,263,524
Factor Arrows
23,631,762
Factor Arrows
21,815,881

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, 1815881

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1,815,881 = 464,865,536

This can also be written as 28 x 1,815,8811 = 464,865,536

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


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