Q: What are the prime factors of the number 153,063,464?

 A: 2, 59, 139, 2333

Why are those the prime factors of the number 153,063,464?

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 153,063,464

153,063,464
Factor Arrows
276,531,732
Factor Arrows
238,265,866
Factor Arrows
219,132,933
Factor Arrows
59324,287
Factor Arrows
1392,333

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, 59, 139, 2333

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 59 x 139 x 2,333 = 153,063,464

This can also be written as 23 x 591 x 1391 x 2,3331 = 153,063,464

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


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