Q: What are the prime factors of the number 4,996,352?

 A: 2, 29, 673

Why are those the prime factors of the number 4,996,352?

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 4,996,352

4,996,352
Factor Arrows
22,498,176
Factor Arrows
21,249,088
Factor Arrows
2624,544
Factor Arrows
2312,272
Factor Arrows
2156,136
Factor Arrows
278,068
Factor Arrows
239,034
Factor Arrows
219,517
Factor Arrows
29673

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, 673

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 29 x 673 = 4,996,352

This can also be written as 28 x 291 x 6731 = 4,996,352

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


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