Q: What are the prime factors of the number 23,046,156?

 A: 2, 3, 7, 91453

Why are those the prime factors of the number 23,046,156?

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 23,046,156

23,046,156
Factor Arrows
211,523,078
Factor Arrows
25,761,539
Factor Arrows
31,920,513
Factor Arrows
3640,171
Factor Arrows
791,453

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, 91453

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 91,453 = 23,046,156

This can also be written as 22 x 32 x 71 x 91,4531 = 23,046,156

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


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